Abstract
In this paper, the application of the homotopy perturbation method (HPM) to the nonlinear Schrodinger equation with variable coefficient (NLSV) is presented to obtain approximate analytical solution. The procedure of the method is systematically illustrated. The result derived by this method is then compared with the progressive wave solution to verify the accuracy of the HPM solution. The solution obtained by the HPM is an infinite series for appropriate initial condition that can be expressed in a closed form to the exact solution. The absolute errors of the HPM solution of the NLSV equation with the progressive wave solution will later be carried out using the MAPLE program. The results of the HPM solution are of high accuracy, verifying that the method is indeed effective and promising. The HPM is found to be a powerful mathematical tool which can be used to solve nonlinear partial differential equations.
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The authors wish to express appreciation to the Ministry of Education Malaysia for financial support and Universiti Tun Hussein Onn Malaysia for the RAGS’s Grant Vote R026.
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Yazid, N.M., Tay, K.G., Choy, Y.Y., Sudin, A.M. (2017). Solving Nonlinear Schrodinger Equation with Variable Coefficient Using Homotopy Perturbation Method. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_26
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DOI: https://doi.org/10.1007/978-981-10-2772-7_26
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