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Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation

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作者：
Mostafa M. A. Khater
Choonkil Park
Jung Rye Lee
Mohamed S. Mohamed
Raghda A. M. Attia
机构：
[1] Jiangsu University,Department of Mathematics, Faculty of Science
[2] Obour Institutes,Department of Mathematics
[3] Hanyang University,Research Institute for Natural Sciences
[4] Daejin University,Department of Mathematics
[5] Taif University,Department of Mathematics, Faculty of Science
[6] Jiangsu University of Science and Technology,School of Management & Economics
[7] Higher Technological Institute 10th of Ramadan City,Department of Basic Science
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional nonlinear space–time telegraph equation; Approximate solutions;
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摘要：
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.
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