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Tytuł:
Pre-harvest foliar application of vegetables extract improves the quality of harvested grape
Autorzy:
Abbasi, N.A.
Kareem, A.
Hafiz, I.A.
Qureshi, A.A.
El-Gioushy, S.
Powiązania:
https://bibliotekanauki.pl/articles/12692459.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Przyrodniczy w Lublinie. Wydawnictwo Uniwersytetu Przyrodniczego w Lublinie
Tematy:
plant cultivation
grapevine
Vitis vinifera
Perlette cultivar
King Ruby cultivar
grape
fruit
vegetable extract
pre-harvest application
foliar application
total soluble solid
total phenolics content
ascorbic acid content
quality improvement
fruit quality
fruit storage
Opis:
This study focused on examining the effect of vegetables extract foliar application on storage quality of the grapes grape (Vitis vinifera L. cvs. ‘Perlette’ and ‘King’s Ruby’). The vines were sprayed after fruit set twice at 15 days interval at concentrations of 0, 0.20%, 0.30% and 0.40%. Fruit were harvested and kept under cold-storage at 0.5 ±0.5°C and 90% RH for 28 days. The physicochemical properties of treated and untreated berries were analyzed at 7 days intervals during the cold storage. The results showed that the pre-harvest application of vegetable extracts reduced the weight loss and inhibited the fruit decay. Treated grape also had higher ascorbic acid contents, total phenolics, 2,2-diphenyl-1-picrylhydrazyl-radical (DPPH) scavenging activity, and higher soluble solid contents, titratable acidity, and reduced sugar:acid ratio. The concentration of 0.30% and cultivar ‘Kings Ruby’ gave the best result as compared to untreated control. In conclusion, pre-harvest vegetables extract application on berries showed higher antioxidant activities in grape berries, and maintained their post-harvest quality. These results indicated that foliar spray of vegetables extract could effectively improve the fruit quality, mainly through the reduction of phenolic content.
Źródło:
Acta Scientiarum Polonorum. Hortorum Cultus; 2019, 18, 6; 107-117
1644-0692
Pojawia się w:
Acta Scientiarum Polonorum. Hortorum Cultus
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Collection of hospital wastewater data using deduplication approaches
Autorzy:
Khan, N. A.
Sinha, G. R.
Ahmed, S.
Feshchenko, A.
Changani, F.
Qureshi, A.
Mazhar, M. A.
Neklonskyi, I.
Powiązania:
https://bibliotekanauki.pl/articles/1818511.pdf
Data publikacji:
2020
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
statistics
hospital wastewater
medical waste
deduplication
approaches
servers
statystyka
ścieki szpitalne
odpady medyczne
deduplikacja
podejścia
serwery
Opis:
Purpose: This investigation aims to study the various approaches currently used to reduce the load on computer servers in order to better manage data on hospital wastewater treatment and solid waste generation. Design/methodology/approach: This manuscript investigates the taxonomies of deduplication procedures based on literature and other data sources, thereby presenting its classification and its challenges in detection. Findings: Based on the literature survey of deduplication techniques, the method of deduplication dispensed on cloud gadget devices has been found to be a promising research challenge. The gaps discussed include a reduction in storage space, bandwidth, type of disks used, and expenditure on energy usage and heat emissions when implementing these strategies. The art work on a scalable, robust, green and allocated approach to deduplication for a cloud gadget will remain of interest in destiny. Research limitations/implications: Considerable attention is focused on the deduplication due to efficient, extensive storage system. Practical implications: This research paper will be useful to identify deduplication techniques which are nowadays used in different hospital wastewater data collection systems and put significant proposals for further improvements in deduplication. Originality/value: This manuscript portrays a broader assessment of the available literature for data duplication along with the classification of different methods for the data storage used in the different level of storage of hospital wastewater data collection.
Źródło:
Archives of Materials Science and Engineering; 2020, 104, 1; 5--18
1897-2764
Pojawia się w:
Archives of Materials Science and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Approach to Parametric Modeling of Glottal Flow
Autorzy:
Qureshi, T. M.
Syed, K. S.
Powiązania:
https://bibliotekanauki.pl/articles/177068.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
control volumes
spring-mass system
vocal folds
Rosenberg glottal model
LF glottal model
Opis:
Glottal waveform models have long been employed in improving the quality of speech synthesis. This paper presents a new approach for modeling the glottal flow. The model is based on three control volumes that strike a one-mass and two-springs system sequentially and generate a glottal pulse. The first, second and third control volumes represent the opening, closing and closed phases of the vocal folds, respectively. The masses of the three control volumes and the size of the first one are the four parameters that define the shape, pitch and amplitude of the glottal pulse. The model may be viewed as parametric approach governed by second order differential equations rather than analytical functions and is very flexible for designing a glottal pulse. The glottal pulse generated by the present model, when compared with those generated by Rosenberg, LF and mucosal wave propagation models demonstrates that it appropriately represents the opening, closing and closed phases of the vocal fold oscillation. This leads to the validity of our model. Numerical solution of the present model has been found to be very efficient as compared to its analytical solution and two other well-known parametric models Rosenberg++ and LF. The accuracy of the numerical solution has been illustrated with the help of analytical solution. It has been observed that the accuracy improves by increasing the size of the first control volume and may decrease insignificantly with increase in the mass of any of the control volumes. Two experiments with the present model support its successful implementation as a voice source in speech synthesis. Thus our model renders itself as an efficient, accurate and realistic choice as a voice source to be employed in real-time speech production.
Źródło:
Archives of Acoustics; 2011, 36, 4; 695-712
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of Bondcoat Thickness on High Temperature Hot Corrosion of ZrO₂-8Y₂O₃ Thermal Barrier Coating
Autorzy:
Qureshi, I.
Shahid, M.
Khan, A.
Powiązania:
https://bibliotekanauki.pl/articles/1402361.pdf
Data publikacji:
2015-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
81.65.Mq
81.15.Rs
Opis:
Thermal barrier coatings (TBCs) are widely used for industrial and aero turbines. The use of residual fuel oil is well known due to economic reasons, which causes hot corrosion. Hot corrosion over extended exposures reduces durability. Therefore, there is a requirement to develop new design approaches for TBCs in order to operate under hot corrosion environment. In this paper, the effect of bond coat thickness on the hot corrosion resistance was studied. Hot corrosion test were carried out in 50 wt.% Na₂So₄+50 wt.% V₂O₅ molten salt at 950°C for 50 hours. The characterizations of the coatings included X-ray diffraction analysis, scanning electron microscopy and optical microscope. Results indicated that TBCs with thick bond coat exhibited superior hot corrosion resistance to the TBCs with conventional bond coat.
Źródło:
Acta Physica Polonica A; 2015, 128, 2B; B-314-B-316
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Centrifugal compressor performance improvement through multi splitter impeller
Autorzy:
Malik, Adil
Zheng, Qun
Qureshi, Shafiq R.
Ahmed, Salman A.
Gambo, D. KB
Powiązania:
https://bibliotekanauki.pl/articles/258806.pdf
Data publikacji:
2019
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
centrifugal compressor
back swept impeller
flow separation
efficiency
numerical simulation
Opis:
In the paper, a back swept impeller of centrifugal compressor is experimentally studied and numerically validated and modified to increase its pressure ratio and improve efficiency, as well as to analyse the effect of splitter blade location between two main blades. The back swept multi splitter blade impeller was designed with a big splitter positioned close to the main blade suction surface and a smaller splitter close to the pressure surface. Adding this multi splitter improves the overall performance of the modified impeller due to less intensive flow separation and smaller pressure loss. In particular, the total pressure ratio was observed to increase from 4.1 to 4.4, with one percent increase in efficiency.
Źródło:
Polish Maritime Research; 2019, 2; 6-14
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel hybrid iterative method for applied mathematical models with time-efficiency
Autorzy:
Jamali, Khalid
Solangi, Muhammad Anwar
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/2202025.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear equation
computational order
efficiency index
convergence order
Newton’s method
równanie nieliniowe
Opis:
Non-linear phenomena appear in many fields of engineering and science. Research on numerical methods is continually extending with the improvement of the latest computing tools. In today’s computational field, one requires maximum achievement in a minimum amount of time. Therefore, there is a need to modify the Newton-type method to achieve higher-order convergence to solve non-linear equations. While the modified methods are expected to be higher-order convergent, the minor computational information and the maximum time efficiency are also important factors. We propose a three-step hybrid iterative method having a non-linear nature. Per iteration, the method requires three function evaluations and three first-order derivatives. The method is theoretically proven to be tenth-order convergent. The mathematical results of the proposed strategy to solve models from fluid dynamics, electric field, and real gases demonstrated better performance. In light of error analysis, computational productivity, and CPU times, the proposed method’s performance is compared to the famous Newton and a recently proposed tenth-order method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 19--29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local accuracy and error bounds of the improved Runge-Kutta numerical methods
Autorzy:
Qureshi, S.
Memon, Z.
Shaikh, A. A.
Powiązania:
https://bibliotekanauki.pl/articles/122862.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
error estimate
remainder term
principal error function
truncation error
Lotkin bound
granice błędu
metoda numeryczna Runge-Kutty
błąd obcięcia
granica Lotkina
funkcja błędu
szacowanie błędu
Opis:
In this paper, explicit Improved Runge-Kutta (IRK) methods with two, three and four stages have been analyzed in detail to derive the error estimates inherent in them whereas their convergence, order of local accuracy, stability and arithmetic complexity have been proved in the relevant literature. Using single and multivariate Taylor series expansion for a mathematical function of one and two variables respectively, slopes involved in the IRK methods have been expanded in order to obtain the general expression for the leading or principal term in the local truncation error of the methods. In addition to this, principal error functions of the methods have also been derived using the idea of Lotkin bounds which consequently gave rise to the error estimates for the IRK methods. Later, these error estimates were compared with error estimates of the two, three, and four-stage standard explicit Runge-Kutta (RK) methods to show the better performance of the IRK methods in terms of the error bounds on the constant step-size h used for solving the initial value problems in ordinary differential equations. Finally, a couple of initial value problems have been tested to determine the maximum absolute global errors, absolute errors at the final nodal point of the integration interval and the CPU times (seconds) for all the methods under consideration to get a better idea of how the methods behave in a particular situation especially when it comes to analyzing the error terms.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 73-84
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using Shehu integral transform to solve fractional order Caputo type initial value problems
Autorzy:
Qureshi, Sania
Kumar, Prem
Powiązania:
https://bibliotekanauki.pl/articles/122809.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformata Laplace'a
całka Riemann-Liouville
Opis:
In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique. In this regard, we have presented the proof of finding the Shehu transform for a classical nth order integral of a piecewise continuous with an exponential nt h order function which leads towards devising a theorem to yield exact analytical solutions of the problems under investigation. Varying fractional types of problems are solved whose exact solutions can be compared with solutions obtained through existing transformation techniques including Laplace and Natural transforms.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 75-83
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A One-Mass Physical Model of the Vocal Folds with Seesaw-Like Oscillations
Autorzy:
Qureshi, T. M.
Syed, K. S.
Powiązania:
https://bibliotekanauki.pl/articles/177478.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
body-cover model
seesaw-like oscillation
glottal flow
vocal folds
spring-mass system
mucosal wave propagation
Opis:
A low-dimensional physical model of small-amplitude oscillations of the vocal folds is proposed here. The model is a simplified version of the body-cover one in which mucosal surface wave propagation has been approximated by the seesaw-like oscillation of the vocal fold about its fulcrum point whose position is adjustable in both the horizontal and vertical directions. This approach works for 180 degree phase difference between the glottal entry and exit displacements. The fulcrum point position has a significant role in determining the shape of the glottal flow. The vertical position of the fulcrum point determines the amplitude of the glottal exit displacement, while its horizontal position governs the shape and amplitude of the glottal flow. An increment in its horizontal position leads to an increase in the amplitude of the glottal flow and the time period of the opening and closing phases, as well as a decrease in the time period of the closed phase. The proposed model is validated by comparing its results with the low-dimensional mucosal surface wave propagation model.
Źródło:
Archives of Acoustics; 2011, 36, 1; 15-27
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the use of a down-hole mechanical cleaning device for efficient wellbore cleaning
Analiza wykorzystania wgłębnych mechanicznych urządzeń czyszczących do skutecznego oczyszczania otworu
Autorzy:
Qureshi, A.
Miska, S.
Miska, W.
Powiązania:
https://bibliotekanauki.pl/articles/299975.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
wiercenie
oczyszczanie dna otworu
otwory horyzontalne
drilling
down-hole mechanical cleaning
horizontal wells
Opis:
Field evidence indicates that in highly deviated and horizontal wells, cuttings tend to accumulate on the lower side of the annulus under the influence of gravity and eventually may form a non moving bed. This leads to considerable increase in equivalent circulating density (ECD) and drag/torque as well may result in a differential pipe sticking and wellbore stability problems. A good control of drilling fluid rhelogical properties, flow rate and drillpipe rotational speed may not be sufficient in some instances. Also, the commonly used techniques of circulation at high flow rates, using sweeps of high/low viscosity and high density may not be possible and, at times, prove to be ineffective. To overcome this difficulty, a down hole cleaning subs (mechanical cleaning devices - MCDs) are incorporated in the drill string to agitates the cuttings bed by bringing the cuttings into suspension for subsequent carrying out by the drilling fluid to the surface. These devices are furnished with "blades" which produce the desired hydrodynamic effects as the drill string is rotated and helps to dislodge the cuttings from the bed. The hole cleaning is thus governed primarily by the agitation created by the device, the rheological properties of the mud and the drilling fluid flow rate. Taking these factors into account, a study was conducted at Tulsa University Drilling Research Projects' (TUDRP) large scale wellbore simulator to experimentally determine the cleaning efficiency of a Mechanical Cleaning Device (MCD). From the database generated through the experiments, correlations were obtained by performing regression modeling to extend the results to field applications. These correlations are based on dimensionless parameters and predict reasonably accurately the in-situ cuttings concentration when the MCD is installed in the drill string. The results are useful for designing of the optimal hydraulic program for extended reach, high angle and horizontal wells.
Z danych terenowych wynika, że w silnie odchylonych i poziomych otworach wiertniczych zwierciny gromadzą się w dolnej części przestrzeni pozarurowej pod wpływem siły grawitacji. Prowadzi to do znacznego wzrostu ECD oraz momentu; może również spowodować zablokowanie rury oraz problemy z zachowaniem stabilności otworu. Właściwa kontrola właściwości reologicznych, wielkości przepływu i prędkości obrotowej w niektórych przypadkach może okazać się niewystarczająca. Również powszechnie stosowane techniki intensywnej cyrkulacji, a także z wykorzystaniem cieczy o wysokiej/niskiej lepkości oraz dużej gęstości mogą okazać się niemożliwe lub nieskuteczne. Do pokonania tej trudności na przewodzie zastosowano mechaniczne wgłębne urządzenie czyszczące w celu pobudzenia zwiercin i utworzenia zawiesiny, która zostanie wyniesiona na powierzchnię wraz z płuczką wiertniczą. Urządzenia tego typu wyposażone są w ostrza, które wywołują pożądany efekt hydrodynamiczny w trakcie obrotu przewodu wiertniczego, i w wyniku czego zwierciny zostają podniesione z miejsca gromadzenia się. Główne mechanizmy związane z czyszczeniem otworu polegają na wzbiciu osadu, odpowiednich właściwościach reologicznych płuczki wiertniczej oraz hydrauliki.
Źródło:
Wiertnictwo, Nafta, Gaz; 2007, 24, 1; 401-413
1507-0042
Pojawia się w:
Wiertnictwo, Nafta, Gaz
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new nonlinear L-stable scheme with constant and adaptive step-size strategy
Autorzy:
Arain, Sadia
Qureshi, Sania
Shaikh, Asif Ali
Powiązania:
https://bibliotekanauki.pl/articles/2175496.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
stiff systems
singular systems
L-stability
local error
order stars
systemy sztywne
układ singularny
stabilność L
błąd lokalny
Opis:
The present study proposes a new explicit nonlinear scheme that solves stiff and nonlinear initial value problems in ordinary differential equations. One of the promising features of this scheme is its fourth-order convergence with strong stability having an unbounded region. A modern approach for relative stability growth analysis is also presented under order stars conditions. The scheme is also good in dealing with singular and stiff type of models. Comparing numerical experiments using various errors, including maximum absolute global error over the integration interval, absolute error at the endpoint, average error, norm of errors, and the CPU times (seconds), shows better performance. An adaptive step-size approach seems to increase the performance of the proposed scheme. The numerical simulations assure us of L -stability, consistency, order, and rapid convergence.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 4; 7--18
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
Autorzy:
Kumar, Prem
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/122736.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformacja Laplace'a
całka Riemann-Liouville
Opis:
Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
Autorzy:
Kumar, Prem
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/1839810.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformacja Laplace'a
całka Riemann-Liouville
Opis:
Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the use of Mohand integral transform for solving fractional-order classical Caputo differential equations
Autorzy:
Qureshi, Sania
Yusuf, Abdullahi
Aziz, Shaheen
Powiązania:
https://bibliotekanauki.pl/articles/1839755.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
initial value problem
kinetic reaction
Riemann-Liouville integral
transformata całkowa Mohanda
całka Mohanda
całka Riemanna-Liouville'a
reakcja kinetyczna
Opis:
In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully been employed in existing literature to solve classical ordinary differential equations. Here, a few significant and practically-used differential equations of the fractional type, particularly related with kinetic reactions from chemical engineering, are under consideration for the possible outcomes via the Mohand integral transform. A new theorem has been proposed whose proof, provided in the present study, helped to get the exact solutions of the models under investigation. Upon comparison, the obtained results would agree with results produced by other existing well-known integral transforms including Laplace, Fourier, Mellin, Natural, Sumudu, Elzaki, Shehu and Aboodh.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 99-109
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Use of partial derivatives to derive a convergent numerical scheme with its error estimates
Autorzy:
Qureshi, Sania
Adeyeye, Oluwaseun
Shaikh, Asif Ali
Powiązania:
https://bibliotekanauki.pl/articles/122734.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
multi-derivative
local truncation error
stability
absolute relative errors
consistency
principal term
wielopochodna
pochodna cząstkowa
schemat numeryczny
błąd względny
błąd bezwzględny
Opis:
Using the idea of the partial derivative with respect to the ordinate of a given mathematical function, a new numerical scheme having third order convergence has been devised for solving initial value problems in ordinary differential equations. Such problems are deemed to be indispensable in diverse fields of science, medical and engineering and are most often required to be solved by the numerical schemes. In view of this, the proposed numerical scheme is found to be efficient in solving both autonomous and non-autonomous type of problems as supported by some numerical experiments in the present study. Using the Taylor expansion for the slopes involved in the scheme, the leading term of the local truncation error is shown to have contained Ϭ(h4) which proves third order accuracy of the scheme. In addition to this, consistency and linear stability analysis of the proposed scheme has extensively been discussed. Numerical experiments show better performance of the proposed numerical scheme when compared with existing numerical schemes of the same order as that of the scheme proposed. CPU time (seconds), maximum absolute relative error and the absolute relative error, computed at the last grid point of the integration interval for the associated initial value problem, are the parameters to test the performance of the proposed numerical scheme. MATLAB Version: 9.4.0.813654 (R2018a) in double-precision on a personal computer equipped with a Processor Intel (R) Core(TM) i3-4500U CPU@ 1.70 GHz running under the Windows 10 operating system has been employed in order to carry out all the required numerical computations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 73-83
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 19

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