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

Advances in Difference Equations

article

Khater, Mostafa M. A.¹  Park, Choonkil³  Lee, Jung Rye⁴  Mohamed, Mohamed S.⁵  Attia, Raghda A. M.⁶ 

[1] Department of Mathematics, Faculty of Science, Jiangsu University;Department of Mathematics, Obour Institutes;Research Institute for Natural Sciences, Hanyang University;Department of Mathematics, Daejin University;Department of Mathematics, Faculty of Science, Taif University;School of Management & Economics, Jiangsu University of Science and Technology;Department of Basic Science, Higher Technological Institute 10th of Ramadan City

关键词: Fractional nonlinear space–time telegraph equation;    Approximate solutions;   

DOI  :  10.1186/s13662-021-03387-9

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY