Numerical investigation of the weakly singular Volterra integro-differential equations using He0s Homotopy perturbation method

S. Sekar; A. S. Thirumurugan

doi:10.26637/MJM0601/0016

Abstract

In this paper, we present a reliable algorithm for solving a system of Volterra integro-differential equations (VIDE) using He's Homotopy Perturbation Method (HHPM) $[9,10]$ and spectral methods [12]. This method converts a system of Volterra integro-differential equations to the system of linear algebraic equations. Some illustrative examples have been presented to illustrate the implementation of the algorithm and efficiency of the method.

Keywords:

Integro-Differential Equations, Weakly singular Volterra integro-differential equations, Single-term Haar wavelet series, He’s Homotopy Perturbation Method

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. Sekar Department of Mathematics, Government Arts and Science College, Thittamalai-638 458, Tamil Nadu, India.
A. S. Thirumurugan Department of Mathematics, Mahendra Arts and Science College, Kalipatti, Namakkal-637 501, Tamil Nadu, India.

Pages: 129-132
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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