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

Mostafa M. A. Khater, Choonkil Park, Jung Rye Lee, Mohamed S. Mohamed, Raghda A. M. Attia
2021 Advances in Difference Equations  
AbstractThe 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
more » ... 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.
doi:10.1186/s13662-021-03387-9 fatcat:p5z3snbv6vb7zhlvqecs2npsnm