Homotopy analysis method for systems of integro-differential equations

Article type: Research Article

Authors: Matinfar, M. | Saeidy, M. | Gharahsuflu, B.

Affiliations: Faculty of Mathemetical Sciences, University of Mazandaran, Babolsar, Iran | Qaemshahr Branch, Department of Mathematical, Islamic Azad University, Qaemshahr, Iran

Note: [] Corresponding author. M. Matinfar, Faculty of Mathemetical Sciences, University of Mazandaran, Babolsar, Iran. Tel.: +98 112 5342 496; Fax: +98 112 5342 496; E-mail: m.matinfar@umz.ac.ir (M. Matinfar); m.saidy@umz.ac.ir (M. Saeidy); b.gharahsuflu@hotmail.com (B. Gharahsuflu).

Abstract: In this paper, the application of the homotopy analysis method (HAM) for solving linear and nonlinear systems of integro-differential equations is presented. We used the above method for some nonlinear examples to show how implementation and efficiency of the method. Numerical results show that the homotopy analysis method is a very effective and simple technique for such systems. Examples for linear systems are so easy that has been ignored.

Keywords: Homotopy analysis method, system of integro-differential equations

DOI: 10.3233/IFS-120732

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1095-1102, 2014