Numerical Investigation of the Nonlinear Integro-Differential Equations using He$’$s Homotopy Perturbation Method
Authors :
S. Sekar a,∗ and A. S. Thirumurugan b
Author Address :
a Department of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
b Department of Mathematics, Mahendra Arts and Science College, Kalipatti, Namakkal – 637 501, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper, He’s Homotopy Perturbation Method (HHPM), by construction, produces approximate solutions of nonlinear integro-differential equations \cite{10}. The purpose of this paper is to extend the He’s Homotopy Perturbation method to the nonlinear integro-differential equations. Efficient error estimation for the He’s Homotopy Perturbation method is also introduced. Details of this method are presented and compared with Single-Term Haar Wavelet Series (STHWS) method \cite{10} numerical results along with estimated errors are given to clarify the method and its error estimator.
Keywords :
Integro-Differential Equations, Nonlinear integro-differential equations, Single-term Haar wavelet series, He’s Homotopy Perturbation Method.
DOI :
Article Info :
Received : January 07, 2017; Accepted : March 04, 2017.
