In this paper, we implement the radial basis functions for solving a classical type of time-
fractional telegraph equation defined by Caputo sense for (1< α≤ 2). The presented method …

In this study, homotopy perturbation method (HPM) is used to obtain analytic and
approximate solutions of the space-and time-fractional telegraph equations. The space-and …

This paper is concerned with presenting and analyzing a new technique for solving time
fractional telegraph equation. This technique is based on applying the spectral Galerkin …

The telegraph model describes that the current and voltage waves can be reflected on a
wire, that symmetrical wave patterns can form along a line. A numerical study of these …

This article proposes the fast L1 alternating direction implicit (ADI) finite difference and
compact difference schemes to solve the fractional telegraph equation in three-dimensional …

In comparison to fractional-order differential equations, integer-order differential equations
generally fail to properly explain a variety of phenomena in numerous branches of science …

In this study, we used two unique approaches, namely the Yang transform decomposition
method (YTDM) and the homotopy perturbation transform method (HPTM), to derive …

In the present work, we investigate the numerical solution of time-fractional telegraph
equation by a local meshless method. The fractional-order derivative is defined in the …

In this article, an analytical solution procedure is described for solving one dimensional
second order hyperbolic telegraph equation using a reliable semi-analytic method so called …

In this work, an efficient alternating direction implicit (ADI) finite difference scheme is
proposed to solve the three-dimensional time-fractional telegraph equation. The fully …