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Homotopy Perturbation Method Using He’s Polynomial for Solving Nonlinear Differential Equations
Current Issue
Volume 5, 2017
Issue 2 (April)
Pages: 8-11   |   Vol. 5, No. 2, April 2017   |   Follow on         
Paper in PDF Downloads: 57   Since Jun. 15, 2017 Views: 1386   Since Jun. 15, 2017
Authors
[1]
Mubashra Saleem, Department of Mathematics, University of Wah, Wah, Pakistan.
[2]
Aqsa Mumtaz, Department of Mathematics, University of Wah, Wah, Pakistan.
[3]
Tahira Amir, Department of Mathematics, University of Wah, Wah, Pakistan.
[4]
Qazi Mahmood Ul-Hassan, Department of Mathematics, University of Wah, Wah, Pakistan.
[5]
Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan.
[6]
Farhana Kanwal, Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan.
Abstract
In this paper, for solving nonlinear equations a combined form of the Laplace transform method along with the Homotopy perturbation method is used. This method is called the Homotopy perturbation transform method (HPTM). He’s polynomials can be used to handle the nonlinear terms easily. This method avoids the round-off errors and finds the solution without any discretization or restrictive assumptions. Proposed method solves nonlinear problems without using Adomian’s polynomials can be thought as a vibrant advantage of this algorithm over the decomposition method.
Keywords
Homotopy Perturbation Method, Nonlinear Advection Equations, He’s Polynomial, Laplace Transform Method
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