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Journals / Mathematical and Computational Applications / 2010 / Cilt: 15 - Sayı: 3

Modified variational iteration method for Schrodinger equations

Syed Tauseef MOHYUD-DİN
Muhammad Aslam NOOR
Khalida Inayat NOOR
Pages
309–317
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Several examples are given to verify the reliability and efficiency of the proposed algorithm.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we apply the modified variational iteration method (MVIM) for solving Schrödinger equations.
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Key Findings & Data:The proposed modification is made by introducing He’s polynomials in the correction functional of variational iteration method (VIM).
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Conclusion & Impact:Several examples are given to verify the reliability and efficiency of the proposed algorithm.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

MOHYUD-DİN, S. T., NOOR, M. A., NOOR, K. I. (2010). Modified variational iteration method for Schrodinger equations. Mathematical and Computational Applications, Cilt: 15 - Sayı: 3, 309–317. https://ajindex.com/articles/280018

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