Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
DOI:
https://doi.org/10.11113/mjfas.v13n4-1.894Keywords:
Integral equation, Homotopy perturbation method, Numerical methodAbstract
In this paper, modified homotopy perturbation method (MHPM) is applied to solve the general Fredholm-Volterra integro-differential equations (FV-IDEs) of order with initial conditions. Selective functions and unknown parameters allowed us to obtain two step iterations. It is found that MHPM is a semi-analytical method for FV-IDEs and could avoid complex computations. Numerical examples are given to show the efficiency and reliability of the method. Proof of the convergence of the proposed method is also given.
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