التفاصيل البيبلوغرافية
| العنوان: |
He-transform: breakthrough advancement for the variational iteration method. |
| المؤلفون: |
Qing-Ru Song, Jian-Gang Zhang, Dan Tian, Anjum, Naveed |
| المصدر: |
Frontiers in Physics; 2024, p01-03, 3p |
| مصطلحات موضوعية: |
CALCULUS of variations, NONLINEAR oscillators, LAGRANGE multiplier, NEWTON-Raphson method, VARIATIONAL principles |
| مستخلص: |
This article discusses the variational iteration method (VIM) and its significance in solving a wide range of physical problems. The VIM does not require linearization or manipulation of nonlinear terms, making it a powerful mathematical tool. However, the identification of the Lagrange multiplier can be challenging. The article proposes a new method called the He-transform, which is a generalized integral transform that simplifies the identification of the Lagrange multiplier. This method has practical implications in various engineering fields. The authors hope that this method will attract a wide audience and be applied to solve nonlinear oscillators with generalized initial values in the future. [Extracted from the article] |
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| قاعدة البيانات: |
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