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arXiv · 1710.01694

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

Suleyman Cengizci·Natesan Srinivasan·M. Tarik Atay
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Abstract

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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Suleyman Cengizci, Natesan Srinivasan, M. Tarik Atay. 2018-08-13. A hybrid simulation for a system of singularly perturbed two-point reaction-diffusion equations. https://arxiv.org/abs/1710.01694

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