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Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method
American Journal of Theoretical and Applied Statistics
Volume 4, Issue 6, November 2015, Pages: 534-538
Received: Sep. 29, 2015; Accepted: Oct. 15, 2015; Published: Oct. 30, 2015
Authors
Mohannad H. Eljaily, Department of Mathematic, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan
Tarig M. Elzaki, Department of Mathematic, Faculty of Sciences, Sudan University of Sciences and Technology, Khartoum, Sudan; Mathematics Department, Faculty of Sciences and Arts-Alkamil, University of Jeddah, Jeddah ,Saudi Arabia
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Abstract
In this paper, the homotopy perturbation method (HPM) and ELzaki transform are employed to obtain the approximate analytical solution of the Linear and Nonlinear Schrodinger Equations. The proposed method is an elegant combination of the new integral transform “ELzaki Transform” and the homotopy perturbation method. This method finds the solution without any discretization, linearization or restrictive assumptions and avoids the round-off errors,the results reveal that the ETHPM is very efficient, simple and can be applied to other nonlinear problems.
Keywords
ELzaki Transform, Homotopy Perturbation Method, He’s Polynomials, Linear and Nonlinear Schrodinger Equations
Mohannad H. Eljaily, Tarig M. Elzaki, Solution of Linear and Nonlinear Schrodinger Equations by Combine Elzaki Transform and Homotopy Perturbation Method, American Journal of Theoretical and Applied Statistics. Vol. 4, No. 6, 2015, pp. 534-538. doi: 10.11648/j.ajtas.20150406.24
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