Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method

Authors:
M. S. Hashmi;N. Khan;S. Iqbal
Affiliations:
Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal Campus, Pakistan;Department of Mathematics, The Islamia University of Bahawalpur, Pakistan;Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal Campus, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

The purpose of this paper is to apply a numerical technique namely the optimal homotopy asymptotic method (OHAM) for finding the approximate solutions of a class of Volterra integral equations with weakly singular kernels. This method uses simple computations with quite acceptable approximate solutions, which has close agreement with exact solutions. Illustrative examples are included to demonstrate the validity and applicability of the present method and a comparison has been made with existing results.