African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 231

Full Length Research Paper

A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind

M. S. Ahamed
  • M. S. Ahamed
  • Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
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M. Kamrul Hasan
  • M. Kamrul Hasan
  • Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
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M. S. Alam
  • M. S. Alam
  • Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
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  •  Received: 18 May 2017
  •  Accepted: 07 July 2017
  •  Published: 31 August 2017

Abstract

In this article, He’s homotopy perturbation method was applied in a variant way to solve the system of Volterra integral equations of first kind. The results reveal that the proposed approach is very efficient for handling such system of integral equations. Some examples are given to show the ability of the proposed modification.

 

Key words: Integral equations, Volterra integral equations of first kind, homotopy perturbation method.