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...

Full description

Saved in:
Bibliographic Details
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422