- 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