Semi-Analytic Approach to Solving Rosenau-Hyman and Korteweg-De Vries Equations Using Integral Transform

Adedapo Chis Loyinmi, K. O. Idowu
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引用次数: 1

Abstract

In this research, we proposed the fusing of Elzaki transform and projected differential transform (PDTM) to obtain an analytical or approximate solution of the Rosenau-Hyman and Korteweg-de Vries equations which respectively govern pattern formation in liquid drops and model of waves on shallow water surfaces. The results obtained presented in tables and graphs showed better efficiency, accuracy, and convergence of the method to handle Rosenau-Hyman and Korteweg-de Vries equations when compared to other methods in the literature. Keywords:          Rosenau-Hyman Equation; Korteweg-de Vries equation; Elzaki Projected differential transform method; Semi-analytic approach
利用积分变换求解Rosenau-Hyman和Korteweg-De Vries方程的半解析方法
在本研究中,我们提出了Elzaki变换和投影微分变换(PDTM)的融合,以获得分别控制液滴模式形成和浅水表面波浪模型的Rosenau-Hyman和Korteweg-de Vries方程的解析或近似解。表格和图表所示的结果表明,与文献中其他方法相比,该方法处理Rosenau-Hyman和Korteweg-de Vries方程具有更好的效率、准确性和收敛性。关键词:Rosenau-Hyman方程;Korteweg-de Vries方程;Elzaki投影微分变换法;半解析方法
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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