Numerical investigation of the weakly singular Volterra integro-differential equations using He$’$s Homotopy perturbation method
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 :
Article Info :
Received : November 24, 2017; Accepted : December 12, 2017.