Wszystkie pola: równanie dyfuzji - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Differential quadrature methodfor some diffusion-reaction problems
Autorzy:: Szukiewicz, Mirosław K.
Powiązania:: https://bibliotekanauki.pl/articles/184877.pdf
Data publikacji:: 2020
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: numerical algorithm
boundary value problem
reaction-diffusion equation
algorytm numeryczny
wartość graniczna
równanie dyfuzji reakcyjnej
Opis:: In the paper, differential quadrature method (DQM) is used to find numerical solutions of reaction-diffusion equations with different boundary conditions. The DQM-method changes the reaction-diffusion equation (ordinary differential equation) into a system of algebraic equations. The obtainedsystem is solved using built-in procedures of Maple®(Computer Algebra System-type program).Calculations were performed with Maple®program. The test problems include reaction-diffusionequation applied in heterogeneous catalysis. The method can be employed even in relatively hard tasks(e.g. ill-conditioned, free boundary problems).
Źródło:: Chemical and Process Engineering; 2020, 41, 1; 3-11
0208-6425
2300-1925
Pojawia się w:: Chemical and Process Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems
Autorzy:: Duru, Hakkı
Güneş, Baransel
Powiązania:: https://bibliotekanauki.pl/articles/1839738.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: boundary value problem
singularly perturbed problem
finite difference method
metoda różnic skończonych
schemat różnicowy
metoda Newtona-Raphsona
równanie reakcji–dyfuzji
Opis:: In this paper, we study singularly perturbed nonlinear reaction-diffusion equations. The asymptotic behavior of the solution is examined. The difference scheme which is accomplished by the method of integral identities with using of interpolation quadrature rules with weight functions and remainder term integral form is established on adaptive mesh. Uniform convergence and stability of the difference method are discussed in the discrete maximum norm. The discrete scheme shows that orders of convergent rates are close to 2. An algorithm is presented, and some problems are solved to validate the theoretical results.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 45-56
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems
Autorzy:: Duru, Hakkı
Güneş, Baransel
Powiązania:: https://bibliotekanauki.pl/articles/1839748.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: boundary value problem
singularly perturbed problem
finite difference method
metoda różnic skończonych
schemat różnicowy
metoda Newtona-Raphsona
równanie reakcji–dyfuzji
Opis:: In this paper, we study singularly perturbed nonlinear reaction-diffusion equations. The asymptotic behavior of the solution is examined. The difference scheme which is accomplished by the method of integral identities with using of interpolation quadrature rules with weight functions and remainder term integral form is established on adaptive mesh. Uniform convergence and stability of the difference method are discussed in the discrete maximum norm. The discrete scheme shows that orders of convergent rates are close to 2. An algorithm is presented, and some problems are solved to validate the theoretical results.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 45-56
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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