Temat: Metody numeryczne - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Mathematical model bounds for maximizing the minimum completion time problem
Autorzy:: Jemmali, Mahdi
Alourani, Abdullah
Powiązania:: https://bibliotekanauki.pl/articles/2175499.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: numerical methods
optimization
mathematical model
lower bounds
metody numeryczne
optymalizacja
model matematyczny
dolna granica
Opis:: This paper focuses on the parallel machine scheduling problem related to maximizing the minimum completion time. This problem affects several industrial applications. The application of this problem in real life is very impressive. This paper is based on the development of new lower bounds for the exact solution of the studied problem. It is shown in the literature that the problem is strongly NP-hard. The first developed lower bound is obtained by utilizing the probabilistic method to generate several solutions for the lower bound. The second is based on the knapsack problem with the iterative method. These numerical methods give new, better lower bounds.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 4; 43--50
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A new numerical scheme for solving the two dimensional fractional diffusion equation
Autorzy:: Dilara, Altan Koç
Mustafa, Gülsu
Powiązania:: https://bibliotekanauki.pl/articles/1839848.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: finite difference method
fractional calculus
numerical methods
metoda różnic skończonych
rachunek ułamkowy
metody numeryczne
Opis:: In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order α. The rate of convergence of the finite difference method is presented. It is seen that this method is in agreement with the obtained numerical solutions with acceptable central processing unit time (CPU time). Error estimates, numerical and exact results are tabulated. The graphics of errors are given.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 5-16
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Sensitivity analysis of the crystallization model with respect to cooling conditions
Autorzy:: Szopa, R.
Tuzikiewicz, W.
Siedlecki, J.
Powiązania:: https://bibliotekanauki.pl/articles/122352.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: moving boundary problems
crystallization of pure metals
sensitivity analysis
numerical methods
analiza wrażliwości
metody numeryczne
Opis:: In the paper the pure metal crystallization process is considered. The cooling conditions of the metal domain are determined by the mould dimensions and thermophysical parameters of the mould material (volumetric specific heat and thermal conductivity). The mathematical model of heat transfer processes proceeding in the system metal – mould is created by the system of heat diffusion partial differential equations corresponding to the sub-domains considered supplemented by the adequate geometrical, physical and boundary-initial conditions. The sensitivity model determining the perturbations of thermal processes due to the perturbations of cooling processes can be constructed using the direct approach (differentiation with respect to parameters analyzed) or using the differential quotients. Both approaches will be discussed in the paper presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 115-122
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Transformation of the second order boundary value problem into integral form : different approaches and a numerical solution
Autorzy:: Siedlecki, J.
Ciesielski, M.
Błaszczyk, T.
Powiązania:: https://bibliotekanauki.pl/articles/122740.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: BVP problem
Fredholm integral equation
Fubini's theorem
numerical methods
zagadnienie wartości brzegowych
równanie całkowe Fredholma
twierdzenie Fubinisa
metody numeryczne
Opis:: In this paper we present different approaches to the transformation of the second order ordinary differential equation, with respect to adequate boundary conditions, into integral equations. The obtained equations are Fredholm integral equations of the second kind. Next, a numerical method based on quadrature methods has been proposed to get an approximate solution of these equations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 3; 103-108
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Numerical modeling of pure metal solidification using the one domain approach
Autorzy:: Szopa, R.
Powiązania:: https://bibliotekanauki.pl/articles/973637.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: solidification of metal
Stefan problem
artificial mushy zone
numerical methods
krzepnięcie metalu
problem Stefana
sztuczna strefa dwufazowa
metody numeryczne
Opis:: Numerical modeling of pure metal solidification on the basis of the well-known Stefan model is rather difficult. The knowledge of temporary solidification front position and the local values of the solidification rate in the normal direction for time t are necessary in order to determine the new position of moving boundary for time t + ∆t. The problem is especially complicated for 2D and 3D tasks. The concept greatly simplifying the modeling of solidification process boils down to the introduction of the artificial region corresponding to the mushy zone sub-domain. For this region the substitute thermal capacity is defined and the mathematical model corresponds to the one domain approach. The artificial mushy zone appears owing to conventional enlargement of solidification point on a certain interval of temperature ∆T. The basic goal of the paper is the numerical analysis of the influence of the interval ∆T on the numerical solution simulating the thermal processes in the domain of the solidifying metal.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 3; 121-126
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: The Sturm-Liouville eigenvalue problem - a numerical solution using the control volume method
Autorzy:: Siedlecki, J.
Ciesielski, M
Błaszczyk, T.
Powiązania:: https://bibliotekanauki.pl/articles/122530.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Sturm-Liouville problem
eigenvalues
numerical methods
Control Volume Method
problem Sturm-Liouville
wartości własne
metody numeryczne
metoda kontroli głośności
Opis:: The solution of the 1D Sturm-Liouville problem using the Control Volume Method is discussed. The second order linear differential equation with homogeneous boundary conditions is discretized and converted to the system of linear algebraic equations. The matrix associated with this system is tridiagonal and eigenvalues of this system are an approximation of the real eigenvalues of the boundary value problem. The numerical results of the eigenvalues for various cases and the experimental rate of convergence are presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 127-136
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Sensitivity of transient temperature field in the casting domain with respect to latent heat perturbations
Autorzy:: Tuzikiewicz, W.
Powiązania:: https://bibliotekanauki.pl/articles/122844.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: alloys solidification
fixed domain approach
substitute thermal capacity
sensitivity analysis
numerical methods
krzepnięcie stopów
zastępcza pojemność cieplna
analiza wrażliwości
metody numeryczne
Opis:: The mathematical model of thermal processes in the casting domain can be formulated using the fixed domain approach. The energy equation corresponding to this model contains the parameter called a substitute thermal capacity (STC), in which the alloy latent heat appears. The aim of considerations is the application of sensitivity analysis methods for estimation of temperature field changes due to the perturbations of alloy latent heat. In this the analytical form of STC results from the consideration concerning the lever arm model and the Scheil model. The equations determining the sensitivity function are found using the so-called direct approach. At the stage of numerical modeling the finite difference method is used. In the final part of the paper the example of computations is shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 143-149
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Application of numerical methods for solving the non-Fourier equations. A review of our own and collaborators’ works
Autorzy:: Majchrzak, E.
Mochnacki, B.
Powiązania:: https://bibliotekanauki.pl/articles/122746.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat transfer
non-Fourier heat diffusion models
numerical methods
computational mechanics
proces termiczny
wymiana ciepła
metody numeryczne
mechanika obliczeniowa
model dyfuzji cieplnej
Opis:: Thermal processes occuring in the solid bodies are, as a rule, described by the well-known Fourier equation (or the system of these equations) supplemented by the appropriate boundary and initial conditions. Such a mathematical model is sufficiently exact to describe the heat transfer processes in the macro scale for the typical materials. It turned out that the energy equation based on the Fourier law has the limitations and it should not be used in the case of the microscale heat transfer and also in the case of materials with a special inner structure (e.g. biological tissue). The better approximation of the real thermal processes assure the modifications of the energy equation, in particular the models in which the so-called lag times are introduced. The article presented is devoted to the numerical aspects of solving these types of equations (in the scope of the microscale heat transfer). The results published by the other authors can be found in the references posted in the works cited below.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 2; 43-50
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Numerical solutions of a steady 2-D incompressible flow in a rectangular domain with wall slip boundary conditions using the finite volume method
Autorzy:: Ambethkar, V.
Srivastava, M. K.
Powiązania:: https://bibliotekanauki.pl/articles/973635.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: finite volume method
numerical solutions
pressure
Reynolds number
SIMPLE algorithm
staggered grid
u-velocity
v-velocity
przepływy cieczy
metoda objętości skończonej
metody numeryczne
liczba Reynoldsa
algorytm SIMPLE
metoda siatek przesuniętych
Opis:: In this study, a finite volume method (FVM) is suitably used for solving the problem of a fully coupled fluid flow in a rectangular domain with slip boundary conditions. Numerical solutions for the flow variables, viz. velocity, and pressure have been computed. The FVM, with an upwind scheme, has been implemented to discretize the governing equations of the present problem. The well known SIMPLE algorithm is employed for pressure-velocity coupling. This was executed with the aid of a computer program developed and run in a C-compiler. Computations have been performed for unknown variables with Reynolds numbers (Re) = 50, 100, 250, 500, 750 and 1000. The behavior of steady-state solutions of velocity and pressure of the fluid along horizontal and vertical through geometric center of the rectangular domain have been illustrated. We observed that, with the increase of the Reynolds number, the absolute value of velocity components decreases whereas the pressure value increases.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 5-16
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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