Numerical investigation of the weakly singular Volterra integro-differential equations using He$’$s Homotopy perturbation method

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Authors :

S. Sekar1* and A. S. Thirumurugan2

Author Address :

1Department of Mathematics, Government Arts and Science College, Thittamalai-638 458, Tamil Nadu, India.
2Department of Mathematics, Mahendra Arts and Science College, Kalipatti, Namakkal-637 501, Tamil Nadu, India.

*Corresponding author.

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) cite{9,10} and spectral methods cite{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.

DOI :

10.26637/MJM0601/0016

Article Info :

Received : November 24, 2017; Accepted : December 12, 2017.

 

 

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