A hybrid simulation for a system of singularly perturbed two-point reaction-diffusion equations

This study concerns with singularly perturbed systems of second-order reaction-diffusion equations in ODE's. To handle this type of problems, a numerical-asymptotic hybrid method is employed. In this hybrid method, an efficient asymptotic method, the so-called Successive complementary expansion...

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Published in:arXiv.org 2018-08
Main Authors: Cengizci, Suleyman, Srinivasan, Natesan, Atay, M Tarik
Format: Article
Language:English
Subjects:
Asymptotic methods
Computer simulation
Diffusion
Hybrid systems
Mathematical analysis
Numerical methods
Reaction-diffusion equations
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Srinivasan, Natesan
Atay, M Tarik
description This study concerns with singularly perturbed systems of second-order reaction-diffusion equations in ODE's. To handle this type of problems, a numerical-asymptotic hybrid method is employed. In this hybrid method, an efficient asymptotic method, the so-called Successive complementary expansion method (SCEM) is applied first and then, a numerical method based on finite differences is proposed to approximate the solution of the corresponding singularly perturbed reaction-diffusion systems. Two illustrative examples are provided to show the efficiency and easy-applicability of the present method with convergence properties.
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subjects Asymptotic methods
Computer simulation
Diffusion
Hybrid systems
Mathematical analysis
Numerical methods
Reaction-diffusion equations
title A hybrid simulation for a system of singularly perturbed two-point reaction-diffusion equations
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