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Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-04-30 , DOI: 10.1186/s13662-021-03387-9
Mostafa M. A. Khater , Choonkil Park , Jung Rye Lee , Mohamed S. Mohamed , Raghda A. M. Attia

The accuracy of analytical obtained solutions of the fractional nonlinear space–time telegraph equation that has been constructed in (Hamed and Khater in J. Math., 2020) is checked through five recent semi-analytical and numerical techniques. Adomian decomposition (AD), El Kalla (EK), cubic B-spline (CBS), extended cubic B-spline (ECBS), and exponential cubic B-spline (ExCBS) schemes are used to explain the matching between analytical and approximate solutions, which shows the accuracy of constructed traveling wave solutions. In 1880, Oliver Heaviside derived the considered model to describe the cutting-edge or voltage of an electrified transmission. The matching between solutions has been explained by plotting them in some different sketches.



中文翻译:

分数阶非线性时空电报方程的五个半解析和数值模拟

通过最近的五种半分析和数值技术,对(Hamed和Khater在J. Math。中,2020年建立)的分数阶非线性时空电报方程的解析所得解的准确性进行了检验。Adomian分解(AD),El Kalla(EK),三次B样条(CBS),扩展三次B样条(ECBS)和指数三次B样条(ExCBS)方案用于解释解析解与近似解之间的匹配,显示构造的行波解的准确性。1880年,Oliver Heaviside得出了经过考虑的模型来描述电动变速器的尖端或电压。解决方案之间的匹配已通过将它们绘制在一些不同的草图中进行了说明。

更新日期:2021-04-30
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