An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
| Autor: | Süleyman Cengizci, Mehmet Tarık Atay, Srinivasan Natesan |
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| Přispěvatelé: | AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü, Cengizci, Süleyman, 215405 [Cengizci, Süleyman], 57151353400 [Cengizci, Süleyman] |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
General Mathematics
Asimptotik yaklaşımlar boundary layers 01 natural sciences Tekil pertürbasyon problemleri Robustness (computer science) Convergence (routing) Reaction–diffusion system Applied mathematics Boundary value problem 0101 mathematics asymptotic approximations Sonlu farklar yöntemi finite difference method Mathematics Numerical analysis 010102 general mathematics Finite difference method Finite difference 010101 applied mathematics Singular perturbation problems reaction-diffusion equations asymptotic approximations boundary layers finite difference method Sınır katmanları reaction-diffusion equations Ordinary differential equation Singular perturbation problems Reaksiyon-difüzyon denklemleri |
| Zdroj: | Volume: 43, Issue: 1 460-472 Turkish Journal of Mathematics |
| ISSN: | 1300-0098 1303-6149 |
| Popis: | This article focuses on the numerical approximate solution of singularly perturbed systems of secondorder reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of problems, a numerical-asymptotic hybrid method has been used. In this hybrid approach, an efficient asymptotic method, the so-called successive complementary expansion method (SCEM) is employed first, and then a numerical method based on finite differences is applied to approximate the solution of corresponding singularly perturbed reactiondiffusion systems. Two illustrative examples are provided to demonstrate the efficiency, robustness, and easy applicability of the present method with convergence properties No sponsor |
| Databáze: | OpenAIRE |
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