The variational iteration method for solving systems of third-order Emden-Fowler type equations

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• 作者：Abdul-Majid Wazwaz
• 关键词：Emden ; Fowler equation ; Systems of third ; order equations ; Variational iteration method ; Lagrange multipliers ; Approximations
• 刊名：Journal of Mathematical Chemistry
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：55
• 期：3
• 页码：799-817
• 全文大小：
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Physical Chemistry; Theoretical and Computational Chemistry; Math. Applications in Chemistry;
• 出版者：Springer International Publishing
• ISSN：1572-8897
• 卷排序：55

文摘

In this paper, we employ the variational iteration method (VIM) for solving systems of nonlinear equations of Emden-Fowler type of third-order which arise in many scientific applications. The third-order Emden-Fowler equation is characterized by two models, where the shape factor appears twice in the first model, and once in the second. The VIM handles these kinds of shape factors, and overcomes the singularity at the origin. We will use the proper Lagrange multiplier for each model. We solve several complex numerical examples obtaining a rapidly convergent sequence of approximations as the solution. In all examples investigated, we achieved approximations with a high level, thus confirming that only a few variational iterations can provide an accurate approximation.