A Fully Finite Difference Scheme for Time-Fractional Telegraph Equation Involving Atangana Baleanu Caputo Fractional Derivative

Abstract

In this paper, a fully finite difference scheme is studied for an Atangana Baleanu Caputo (ABC) derivative time fractional Telegraph equation (TFTE) using the second order approximation of the ABC derivative. The stability and convergence are established by the Von Neumann stability analysis method. Numerical examples are also presented to demonstrate the theoretical outcomes as well as second order approximation of ABC derivative. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.