Numerical Solution of Time-Fractional Order Telegraph Equation by Bernstein Polynomials Operational Matrices

Abstract EN

We present a new method to solve time-fractional order telegraph equation (TFOTE) by using Bernstein polynomials.

By implementation of Bernstein polynomials operational matrices of fractional differential on TFOTE, we reduce the original problem to a linear system of algebraic equations.

Also, we prove the convergence analysis.

In order to show the efficiency of the proposed method, we present two numerical examples.