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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2010, 15(3), 309-317; https://doi.org/10.3390/mca15030309

Modified Variational Iteration Method for Schrodinger Equations

Department of Mathematics COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan
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Published: 1 December 2010
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Abstract

In this paper, we apply the modified variational iteration method (MVIM) for solving Schrödinger equations. The proposed modification is made by introducing He’s polynomials in the correction functional of variational iteration method (VIM). The suggested iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The use of Lagrange multiplier coupled with He’s polynomials are the clear advantages of this technique over the decomposition method. Several examples are given to verify the reliability and efficiency of the proposed algorithm.
Keywords: Variational iteration method; partial differential equations; Schrödinger equations; He’s polynomials Variational iteration method; partial differential equations; Schrödinger equations; He’s polynomials
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Mohyud-Din, S.T.; Noor, M.A.; Noor, K.I. Modified Variational Iteration Method for Schrodinger Equations. Math. Comput. Appl. 2010, 15, 309-317.

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