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


Citation

Eshkuvatov, Zainidin K. and Zulkarnain, Fatimah Samihah and Muminov, Zahriddin and Nik Long, Nik Mohd Asri (2017) Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m. Malaysian Journal of Fundamental and Applied Sciences. 340 - 345. ISSN 2289-5981; ESSN: 2289-599X

Abstract

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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Penerbit UTM Press
Keywords: Integral equation; Homotopy perturbation method; Numerical method
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 23 Jul 2018 08:29
Last Modified: 23 Jul 2018 08:29
URI: http://psasir.upm.edu.my/id/eprint/61226
Statistic Details: View Download Statistic

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