Cubic spline as global approximate solution of the semilinear reaction--diffusion problem

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Vedad Pasic
Enes Duvnjakovic
Nermin Okicic

Abstract

In this paper we consider the semilinear singularly perturbed reaction--diffusion boundary value problem. In the first part of the paper a difference scheme is given for the considered problem. In the main part of the paper a cubic spline is constructed and we show that it represents a global approximate solution of the our problem. At the end of the paper numerical examples are given, which confirm the theoretical results.

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ART
Author Biography

Vedad Pasic, Department of Mathematics, University of Tuzla

Faculty of Science and Mathematics

Department of Mathematics

Assistant Professor (docent)

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