Next Article in Journal
RULES3-EXT Improvements on RULES-3 Induction Algorithm
Previous Article in Journal
Ranking Extreme and Non-Extreme Efficient Decision Making Units in Data Envelopment Analysis
 
 
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Modified Variational Iteration Method for Schrodinger Equations

by
Syed Tauseef Mohyud-Din
*,
Muhammad Aslam Noor
and
Khalida Inayat Noor
Department of Mathematics COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(3), 309-317; https://doi.org/10.3390/mca15030309
Published: 1 December 2010

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

Share and Cite

MDPI and ACS Style

Mohyud-Din, S.T.; Noor, M.A.; Noor, K.I. Modified Variational Iteration Method for Schrodinger Equations. Math. Comput. Appl. 2010, 15, 309-317. https://doi.org/10.3390/mca15030309

AMA Style

Mohyud-Din ST, Noor MA, Noor KI. Modified Variational Iteration Method for Schrodinger Equations. Mathematical and Computational Applications. 2010; 15(3):309-317. https://doi.org/10.3390/mca15030309

Chicago/Turabian Style

Mohyud-Din, Syed Tauseef, Muhammad Aslam Noor, and Khalida Inayat Noor. 2010. "Modified Variational Iteration Method for Schrodinger Equations" Mathematical and Computational Applications 15, no. 3: 309-317. https://doi.org/10.3390/mca15030309

Article Metrics

Back to TopTop