Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m

• Main Authors: Eshkuvatov, Zainidin K., Zulkarnain, Fatimah Samihah, Muminov, Zahriddin, Nik Long, Nik Mohd Asri
• Format: Article
• Language: English
• Published: Penerbit UTM Press 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/61226/1/Convergence%20of%20modified%20homotopy%20perturbation%20method%20for%20Fredholm-Volterra%20integro-differential%20equation%20of%20order%20m.pdf; http://psasir.upm.edu.my/id/eprint/61226/; https://mjfas.utm.my/index.php/mjfas/article/view/894

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.