Temat: Nonlinear Equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A finite element method for extended KdV equations
Autorzy:: Karczewska, A.
Rozmej, P.
Szczeciński, M.
Boguniewicz, B.
Powiązania:: https://bibliotekanauki.pl/articles/330630.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: shallow water wave problem
nonlinear equations
second order KdV equations
finite element method
Petrov–Galerkin method
Opis:: The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov–Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic effects, which will be discussed in a subsequent paper.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 555-567
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Periodicity of the Population Size of an Age-Dependent Model With a Dominant Age Class by Means of Impulsive Perturbations
Autorzy:: Covachev, V.
Powiązania:: https://bibliotekanauki.pl/articles/929760.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: dynamika populacji
równanie nieliniowe
population dynamics
age-dependent model
periodic solutions
nonlinear delay equations
Opis:: For an age-dependent model with a dominant age class an w-periodic regime of the population size is sought by means of impulsive perturbations. For both noncritical and critical cases of first order the problem is reduced to operator systems solvable by a convergent simple iteration method.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 147-155
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Sustainable Exploitation of Biological Populations
Autorzy:: Grasman, J.
Powiązania:: https://bibliotekanauki.pl/articles/929749.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: rybołówstwo
równanie różnicowe
optimal harvesting
system of nonlinear difference equations
fishery
host-parasitoid system
stabilizing feedback
Opis:: For a system of nonlinear difference equations that models the dynamics of exploited biological populations, a locally optimal periodic solutionis constructed. If this solution is unstable, a stabilizing feedback in the harvesting is introduced. The method is applied to an age-structured population model in fishery as well as to a host-parasitoid system for which the number of hosts and the number of introduced parasitoids shouldbe minimized.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 123-129
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
Autorzy:: Morale, D.
Powiązania:: https://bibliotekanauki.pl/articles/929762.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: równanie różniczkowe stochastyczne
równanie różniczkowo-całkowe
cellular automata
individual-based models
stochastic differential equations
law of large numbers
density dependence
nonlinear integrodifferential equations
Opis:: A cellular automaton model is presented in order to describe mutual interactions among the individuals of a population due to social decisions.The scheme is used for getting qualitative results, comparable to field experiments carried out on a population of ants which present an aggregative behavior. We also present a second description of a biological spatially structured population of N individuals by a system of stochastic differential equations of Ito type. A 'law of large numbers' to a continuum dynamics described by an integro-differential equation is given.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 157-173
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: New iterative method of solving nonlinear equations in fluid mechanics
Autorzy:: Palivets, M.
Andreev, E.
Bakshtanin, A.
Benin, D.
Snezhko, V.
Powiązania:: https://bibliotekanauki.pl/articles/2106452.pdf
Data publikacji:: 2021
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: trzęsienie ziemi
mechanika płynów
porowatość
Adomian Decomposition Method ADM
earthquake
filtration
fluid mechanics
iterative method
nonlinear fractional partial differential equations
porous medium
Opis:: This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers’ equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation. Fractional derivatives of the order are described using Caputo's definition with 01<α≤ or 12<α≤. A comparative analysis of the results obtained using a new iterative method with those obtained by the Adomian decomposition method showed the first method to be more efficient and simple, providing accurate results in fewer computational operations. Given its flexibility and ability to solve nonlinear equations, the iterative method can be used to solve more complex linear and nonlinear fractional partial differential equations.
Źródło:: International Journal of Applied Mechanics and Engineering; 2021, 26, 3; 163--176
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis
Autorzy:: Cherniha, R.
Stachowska-Piętka, J.
Waniewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/907934.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fluid transport
transport in peritoneal dialysis
nonlinear partial differential equations
ordinary differential equation
steady-state solution
transport płynu
dializa otrzewnowa
nieliniowe równanie różniczkowe
równanie różniczkowe zwyczajne
Opis:: A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a three-component nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the relevant boundary and initial conditions. Our aim is to model ultrafiltration of water combined with inflow of glucose to the tissue and removal of albumin from the body during dialysis, by finding the spatial distributions of glucose and albumin concentrations as well as hydrostatic pressure. The model is developed in one spatial dimension approximation, and a governing equation for each of the variables is derived from physical principles. Under some assumptions the model can be simplified to obtain exact formulae for spatially non-uniform steady-state solutions. As a result, the exact formulae for fluid fluxes from blood to the tissue and across the tissue are constructed, together with two linear autonomous ODEs for glucose and albumin concentrations in the tissue. The obtained analytical results are checked for their applicability for the description of fluid-glucose-albumin transport during peritoneal dialysis.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 837-851
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Approximation of the Zakai Equation in a Nonlinear Filtering Problem With Delay
Autorzy:: Twardowska, K.
Marnik, T.
Pasławska-Południak, M.
Powiązania:: https://bibliotekanauki.pl/articles/908197.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: stochastic differential equations with delay
Zakai's equation
nonlinear filtering
matematyka
Opis:: A nonlinear filtering problem with delays in the state and observation equations is considered. The unnormalized conditional probability density of the filtered diffusion process satisfies the so-called Zakai equation and solves the nonlinear filtering problem. We examine the solution of the Zakai equation using an approximation result. Our theoretical deliberations are illustrated by a numerical example.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 151-160
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics
Autorzy:: Rafajłowicz, E.
Styczeń, K.
Rafajłowicz, W.
Powiązania:: https://bibliotekanauki.pl/articles/331421.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: programowanie nieliniowe
sterowanie optymalne
równanie różniczkowe cząstkowe
filter approach
nonlinear programming
optimal control
partial differential equations
Opis:: Our aim is to adapt Fletcher's filter approach to solve optimal control problems for systems described by nonlinear Partial Differential Equations (PDEs) with state constraints. To this end, we propose a number of modifications of the filter approach, which are well suited for our purposes. Then, we discuss possible ways of cooperation between the filter method and a PDE solver, and one of them is selected and tested.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 313-326
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Suboptimal Nonlinear Predictive Controllers
Autorzy:: Declercq, F.
De Keyser, R.
Powiązania:: https://bibliotekanauki.pl/articles/908312.pdf
Data publikacji:: 1999
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowanie predykcyjne
sterowanie nieliniowe
programowanie sekwencyjne
równanie diofantyczne
predictive control
nonlinear control
sequential quadratic programming
diophantine equations
Opis:: Predictive control based on linear models has become a mature technology in the last decade. Many successful real-time applications can be found in almost every sector of industry. Nonlinear predictive control can further increase the performance of this easy-to-understand control strategy. One of the main problems of implementing nonlinear predictive control is the computational aspect, which is of most importance in real-life applications. In this paper, suboptimal nonlinear predictive control strategies are proposed and compared. The nonlinear predictors are built based on neural identification methods or by white modelling. The use of diophantine equations, which is a common technique to calculate the optimal contribution of the noise model, is avoided by using a more natural method. The comparison between the control algorithms is made based on a simulated discrete multivariable nonlinear system and a continuous stirred tank reactor.
Źródło:: International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 129-148
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Verified solution method for population epidemiology models with uncertainty
Autorzy:: Enszer, J. A.
Stadtherr, M. A.
Powiązania:: https://bibliotekanauki.pl/articles/930132.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: dynamika nieliniowa
epidemiologia
analiza interwałowa
równanie różniczkowe
nonlinear dynamics
epidemiology
interval analysis
verified computing
ordinary differential equations
Opis:: Epidemiological models can be used to study the impact of an infection within a population. These models often involve parameters that are not known with certainty. Using a method for verified solution of nonlinear dynamic models, we can bound the disease trajectories that are possible for given bounds on the uncertain parameters. The method is based on the use of an interval Taylor series to represent dependence on time and the use of Taylor models to represent dependence on uncertain parameters and/or initial conditions. The use of this method in epidemiology is demonstrated using the SIRS model, and other variations of Kermack-McKendrick models, including the case of time-dependent transmission.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 501-512
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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