Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A STUDY ON SINGULAR INTEGRO-DIFFERENTIAL EQUATION OF ABEL'S TYPE BY ITERATIVE METHODS

  • Behzadi, Sh.S. (Department of Mathematics, Science and Research Branch, Islamic Azad University) ;
  • Abbasbandy, S. (Department of Mathematics, Science and Research Branch, Islamic Azad University) ;
  • Allahviranloo, T. (Department of Mathematics, Science and Research Branch, Islamic Azad University)
  • Received : 2012.08.20
  • Accepted : 2013.01.10
  • Published : 2013.05.30
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Abstract

In this article, Adomian decomposition method (ADM), variation iteration method(VIM) and homotopy analysis method (HAM) for solving integro-differential equation with singular kernel have been investigated. Also,we study the existence and uniqueness of solutions and the convergence of present methods. The accuracy of the proposed method are illustrated with solving some numerical examples.

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References

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