The Analytical Solution of Singularly Perturbed Boundary Value Problems

Volume 10, Issue 1, pp 7-22 http://dx.doi.org/10.22436/jmcs.010.01.02

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Authors

S. Gh. Hosseini - Department of Mathematics, Ashkezar Branch, Islamic Azad University, Ashkezar, Iran. S. M. Hosseini - Department of Mathematics, College of Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran. M. Heydari - Department of Mathematics, Yazd Branch, Islamic Azad University, Yazd, Iran. M. Amini - Department of Computer Engineereing, Khatam Center, Islamic Azad University, Yazd, Iran.

Abstract

In this paper, we present an algorithm for approximating numerical solution of singularly perturbed boundary value problems by means of homotopy analysis and tau Bernestein polynomial method. The method is tested for several problems and the results demonstrate reliability and efficiency of the method.

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Keywords

• Singularly perturbed problems
• Boundary value problems
• Homotopy analysis method
• Galerkin’s method
• Bernstein polynomials.

MSC

•  47H14
•  65L05
•  65L11
•  34E15

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