将该方法与Sawi变换相结合,提出了一种求解边界和初值问题的新方法

Sarah Rabie, B. N. Kharrat, Ghada Joujeh, Abd Alulkader Joukhadar
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引用次数: 0

摘要

本文讨论并实现了一种基于Sawi变换的He方法。主要目的是解决一些初始问题和边界问题。这种组合展示了一种精确的策略来获得线性和非线性问题的精确解。为了验证所提出的混合方法,讨论了4个例子,包括:Burger方程、telegraph方程、Kelin-Gordan方程、Duffing振子和三次非线性项。所得结果提高了所提组合的精确性和精度,所提方法能够解决大量的线性和非线性初值和边值问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new approach for solving boundary and initial value problems by coupling the he method and Sawi transform
This paper discusses and implements a newly developed technique using the He method with Sawi Transform. The main aim is to solve some initial and boundary problems. This combination exhibits an accurate strategy to obtain a precise solution for linear and nonlinear problems. To validate the proposed Hybrid method, a 4- examples are discussed, these including: Burger’s equation, telegraph equation, Kelin-Gordan equation, Duffing oscillator with cubic nonlinear term. The obtained results improve the exactness and the accuracy of the proposed combinations, and the proposed method is capable to solve a large number of linear and nonlinear initial and boundary value problems.
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