SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATION BY VARIATIONAL ITERATION METHOD-Reference-Cited by-同舟云学术

SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATION BY VARIATIONAL ITERATION METHOD

Published:2023-04-30 Issue:2 Volume:7 Page:1-8
ISSN:2616-1370
Container-title:FUDMA JOURNAL OF SCIENCES
language:
Short-container-title:FJS

Author:

Lanlege D. I.,Edibo F. M.,Omeiza Momoh Sheidu

Abstract

The Variational Iteration Method is applied to solve Fredholm Integro-differential Equation. The initial approximation was selected wisely which satisfies the initial condition of the given Fredholm Integro-differential Equation. The numerical result was analyzed with the aid of Mat-Lab and Maple software’s and are compared with the exact solution to show the usefulness and efficiency of the Method. The results show that the Variational Iteration Method is very efficient, reliable and of high accuracy for solving Fredholm Integro-differential Equation when compared with the exact solution.

Publisher

Federal University Dutsin-Ma

Subject

General Medicine

Reference20 articles.

1. Abbasbandy S. and Shivanian E. (2009). Application of the Variational Iteration Method for system of nonlinear Volterra Integro-differential equations. Mathematical and Computational Applications vol. 14, No. 2, 147- 158.

2. Abdou M.A. and Soliman A.A. (2005). Variational Iteration Method for solving Buger’s equations. Journal of Computational and Applied Mathematics 181, 245-251.

3. An Iterative method for solving fourth-order boundary value problems of mixed type Integro-differential equation. Journal of computational Analytic and Applications. 1-18

4. Al-Khaled, K. (2005). The decomposition method of solving nonlinear IDEs. Appl. Math and Comp. 165(2), 473-487.

5. Batiha B. Noorani M.S.M. and Hashim I. (2008). Numerical Solutions of the Nonlinear Integro-Differential Equations. International Journal Open Problems Copmt. Math., Vol. 1, No. 1, 34-42

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. THE GENERALIZED SUNDMAN TRANSFORMATION AND DIFFERENTIAL FORMS FOR LINEARIZING THE VARIABLE FREQUENCY OSCILLATOR EQUATION AND THE MODIFIED IVEY'S EQUATION;FUDMA JOURNAL OF SCIENCES;2023-07-08