SOLVING SCHR&#214;DINGER EQUATION BY USING MODIFIED VARIATIONAL ITERATION AND HOMOTOPY ANALYSIS METHODS

Sh. Sadigh Behzadi

doi:10.11948/2011029

2011 Volume 1 Issue 4

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Sh. Sadigh Behzadi. SOLVING SCHRÖDINGER EQUATION BY USING MODIFIED VARIATIONAL ITERATION AND HOMOTOPY ANALYSIS METHODS[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 427-437. doi: 10.11948/2011029

Citation:

Sh. Sadigh Behzadi. SOLVING SCHRÖDINGER EQUATION BY USING MODIFIED VARIATIONAL ITERATION AND HOMOTOPY ANALYSIS METHODS[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 427-437. doi: 10.11948/2011029

SOLVING SCHRÖDINGER EQUATION BY USING MODIFIED VARIATIONAL ITERATION AND HOMOTOPY ANALYSIS METHODS

Sh. Sadigh Behzadi

Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Abstract

In this paper, a nonlinear Schrödinger equation is solved by using the variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM) numerically. For each method, the approximate solution of this equation is calculated based on a recursive relation which its components are computed easily. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the given algorithms.
- Schrödinger equation /
- Variational iteration method /
- Modified variational iteration method /
- Homotopy analysis method
MSC: 35A15;34B15;34C15

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References

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