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

Sh. Sadigh Behzadi | Zendy

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

Author(s) -

Sh. Sadigh Behzadi

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011029

Subject(s) - homotopy analysis method , mathematics , homotopy perturbation method , uniqueness , convergence (economics) , mathematical analysis , homotopy , nonlinear system , iterative method , mathematical optimization , pure mathematics , physics , quantum mechanics , economics , economic growth

In this paper, a nonlinear Schr o dinger 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

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