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https://oarep.usim.edu.my/jspui/handle/123456789/3447| Title: | Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m | Authors: | Eshkuvatov, ZK Zulkarnain, FS Muminov, Z Long, NMAN |
Keywords: | Integral equation;homotopy perturbation method;numerical method | Issue Date: | 2017 | Publisher: | PENERBIT UTM PRESS | Journal: | Malaysian Journal of Fundamental and Applied Sciences | Abstract: | In this paper, modified homotopy perturbation method (MHPM) is applied to solve the general Fredholm-Volterra integro-differential equations (FV-IDEs) of order m 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. |
Description: | Malaysian Journal of Fundamental and Applied Sciences Special Issue on Some Advances in Industrial and Applied Mathematics (2017) 340-345 |
URI: | https://mjfas.utm.my/index.php/mjfas/article/view/894 | ISBN: | 2289-599X | ISSN: | 2289-5981 |
| Appears in Collections: | Web Of Science (ISI) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Convergence Of Modified Homotopy Perturbation Method For Fredholm-volterra Integro-differential Equation Of Order M.pdf | Convergence Of Modified Homotopy Perturbation Method For Fredholm-volterra Integro-differential Equation Of Order M | 1.17 MB | Adobe PDF | View/Open |
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