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Article Number - 5A2C08D65813


Vol.10(3), pp. 18-23 , August 2017
https://doi.org/10.5897/AJMCSR2017.0695
ISSN: 2006-9731


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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.
  • Google Scholar
M. Kamrul Hasan
  • M. Kamrul Hasan
  • Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
  • Google Scholar
M. S. Alam
  • M. S. Alam
  • Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
  • Google Scholar







 Received: 18 May 2017  Accepted: 07 July 2017  Published: 31 August 2017

Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


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.

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APA Ahamed, M. S., Hasan, M. K., & Alam, M. S. (2017). A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind. African Journal of Mathematics and Computer Science Research, 10(3), 18-23.
Chicago M. S. Ahamed, M. Kamrul Hasan and M. S. Alam. "A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind." African Journal of Mathematics and Computer Science Research 10, no. 3 (2017): 18-23.
MLA M. S. Ahamed, M. Kamrul Hasan and M. S. Alam. "A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind." African Journal of Mathematics and Computer Science Research 10.3 (2017): 18-23.
   
DOI https://doi.org/10.5897/AJMCSR2017.0695
URL http://academicjournals.org/journal/AJMCSR/article-abstract/5A2C08D65813

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