Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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SOLVING HIGHER-ORDER INTEGRO-DIFFERENTIAL EQUATIONS USING HE'S POLYNOMIALS

  • Received : 2008.12.01
  • Accepted : 2009.05.15
  • Published : 2009.06.25
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Abstract

In this paper, we use He's polynomials for solving higher order integro differential equations (IDES) by converting them to an equivalent system of integral equations. The He's polynomials which are easier to calculate and are compatible to Adomian's polynomials are found by using homotopy perturbation method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to verify the reliability and efficiency of the proposed method.

Keywords

References

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