Volume 4, Issue 1, March 2019, Page: 16-20
Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives
Ali Al-Fayadh, Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq
Dina Saad Faraj, Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq
Received: Feb. 26, 2019;       Accepted: Apr. 4, 2019;       Published: May 10, 2019
DOI: 10.11648/j.ajmcm.20190401.12      View  89      Downloads  17
Abstract
This paper will investigate a method to achieve the exact solution of special type of nonlinear partial differential equations (NLPDEs) involving mixed partial derivatives. This proposed method named as Laplace substitution - Variation iteration method (LS-VIM). The method exploits the properties of Laplace substitution method and the Variational iteration method to find the exact solution for Goursat problem involving mixed partial derivatives. In addition, this paper emphasizes the effectiveness of the LS-VIM by solving two examples. The results show that the exact solution can be achieved from a single iteration of the propose method.
Keywords
Laplace Transforms, Laplace Substitution Method, Variation Iteration Method, Mixed Partial Derivatives, Goursat Problems
To cite this article
Ali Al-Fayadh, Dina Saad Faraj, Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives, American Journal of Mathematical and Computer Modelling. Vol. 4, No. 1, 2019, pp. 16-20. doi: 10.11648/j.ajmcm.20190401.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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