SOLVING HIGHER-ORDER INTEGRO
DIFFERENTIAL EQUATIONS BY VIM AND MHPM
Lafta Dawood1, Abdulrahman Sharif2, Ahmed Hamoud3
1 Department of Mathematics
Thi Qar Directorates of Education, IRAQ
2 Department of Mathematics, Hodeidah University
Al-Hudaydah, YEMEN
3 Department of Mathematics, Taiz University,
Taiz, YEMEN

Abstract

In this paper, the Variational Iteration Method (VIM) and Modified Homotopy Perturbation Method (MHPM) are applied to solve boundary value problems for higher-order Volterra integro-differential equations. The numerical results obtained with minimum amount of computation are compared with the exact solutions to show the efficiency of the methods. The results show that the variational iteration method is of high accuracy, more convenient and efficient for solving Volterra integro-differential equations. Finally, an example is included to demonstrate the validity and applicability of the proposed techniques.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 2
Year: 2020

DOI: 10.12732/ijam.v33i2.5

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