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Uniform Difference Scheme on the Singularly Perturbed System

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DOI: 10.4236/am.2012.39152    2,996 Downloads   5,009 Views   Citations

ABSTRACT

This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

I. Amiraliyeva, "Uniform Difference Scheme on the Singularly Perturbed System," Applied Mathematics, Vol. 3 No. 9, 2012, pp. 1029-1035. doi: 10.4236/am.2012.39152.

References

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