Numerical investigation for the fractional nonlinear space-time telegraph equation via the trigonometric Quintic B-spline scheme

This manuscript employs the trigonometric Quintic B-spline (TQBS) scheme for investigating the numerical solution of the conformable fractional nonlinear time-space telegraph equation. This model is derived by Oliver Heaviside 1880 to describe the cutting-edge or voltage of an electrified transmission range with the day yet distance from an electrified transmission or electromagnetic wave's application. In Hamed and Khater, three recent computational schemes (sech–tanh expansion method; extended sinh–Gorden expansion method; and extended simplest equation method) have been applied to the fractional model for constructing the exact traveling wave solutions. Many distinct solutions have been obtained, and some of them have been sketched in two, three-dimensional, and density plots. Here, these solutions are investigated to evaluate the initial and boundary conditions that apply the suggested numerical scheme. The accuracy of the constructed exact solutions is investigated by calculating the absolute value of error. The most accurate numerical schemes of the three applied computational schemes have been illustrated.