Numerical investigation of the nonlinear integro-differential equations using He's homotopy perturbation method
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https://doi.org/10.26637/mjm502/016Abstract
In this paper, He's Homotopy Perturbation Method (HHPM), by construction, produces approximate solutions of nonlinear integro-differential equations [2]. 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 [2] 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 MethodMathematics Subject Classification:
Mathematics- Pages: 389-394
- Date Published: 01-04-2017
- Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)
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