Study of convergence of Homotopy perturbation method for two-dimensional linear Volterra integral equations of the first kind

Authors:
Mostafa Eslami;M. Mirzazadeh
Affiliations:
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran;Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41635-19141, Rasht, Iran
Venue:
International Journal of Computing Science and Mathematics
Year:
2014

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Abstract

In this work, Homotopy perturbation method, which is a well-known method for solving functional equations, has been employed to solve the linear two-dimensional Volterra integral equations of the first kind. Convergence of the method for these kinds of equations is addressed. To illustrate the ability of the method, some examples are presented. The results demonstrate the accuracy and the efficiency of the method.