Error Estimates for the Difference Method to System of Ordinary Differential Equations with Boundary Layer

Ilhame Amirali

Department of Mathematics, Faculty of Art and Science, Sinop University, Sinop, Turkey.

DOI: 10.4236/jamp.2013.15012                

Abstract

This work deals with the numerical solution of singular perturbation system of ordinary differential equations with boundary layer. For the numerical solution of this problem fitted finite difference scheme on a uniform mesh is constructed and analyzed. The uniform error estimates for the approximate solution are obtained.

Keywords

Singular Perturbation; Linear System; Difference Scheme; Uniform Convergence; Error Estimates

Conflicts of Interest

The authors declare no conflicts of interest.

References

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