Second-order Numerical Scheme for Singularly Perturbed Reaction–Diffusion Robin Problems
نویسندگان
چکیده
In this article, we consider singularly perturbed reaction-diffusion Robin boundary-value problems. To solve these problems we construct a numerical method which involves both the cubic spline and classical finite difference schemes. The proposed scheme is applied on a piece-wise uniform Shishkin mesh. Truncation error is obtained, and the stability of the method is analyzed. Also, parameter-uniform errors estimates are derived. Three test problems are experimented. c © 2007 European Society of Computational Methods in Sciences and Engineering
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