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Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives
American Journal of Mathematical and Computer Modelling
Volume 4, Issue 1, March 2019, Pages: 16-20
Received: Feb. 26, 2019; Accepted: Apr. 4, 2019; Published: May 10, 2019
Authors
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
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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
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
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