Numerical Solution of Singularly Perturbed Boundary Value Problems Based on Optimal Control Strategy

Authors:
G. B. Loghmani;M. Ahmadinia
Affiliations:
Department of Mathematics, University of Yazd, Yazd, Iran;Department of Mathematics, University of Qom, Qom, Iran
Venue:
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Year:
2010

Citing 4
Cited 0

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Abstract

In this paper, we develop a numerical technique for singularly perturbed boundary value problems using B-spline functions and least square method. The approximate solution derived in this article is convergent to the exact solution and can be applied both to linear and nonlinear models. The numerical examples and computational results illustrate and guarantee a higher accuracy for this technique.