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.
@article{arxiv.1710.01694,
title = {A hybrid simulation for a system of singularly perturbed two-point reaction-diffusion equations},
author = {Suleyman Cengizci and Natesan Srinivasan and M. Tarik Atay},
journal= {arXiv preprint arXiv:1710.01694},
year = {2018}
}
Comments
This manuscript is under-review in Turkish Journal of Mathematics