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

被引：18
作者：
Khater, Mostafa M. A. [1 ,2 ]
Park, Choonkil [3 ]
Lee, Jung Rye [4 ]
Mohamed, Mohamed S. [5 ]
Attia, Raghda A. M. [6 ,7 ]
机构：
[1] Jiangsu Univ, Dept Math, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Obour Inst, Dept Math, Cairo 11828, Egypt
[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
[4] Daejin Univ, Dept Math, Kunggi 11159, South Korea
[5] Taif Univ, Fac Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia
[6] Jiangsu Univ Sci & Technol, Sch Management & Econ, Zhenjiang 212100, Jiangsu, Peoples R China
[7] Higher Technol Inst 10th Ramadan City, Dept Basic Sci, El Sharqia 44634, Egypt
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Fractional nonlinear space-time telegraph equation; Approximate solutions;
D O I：
10.1186/s13662-021-03387-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：9
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