Numerical Solution of Time-Fractional Order Telegraph Equation by Bernstein Polynomials Operational MatricesReport as inadecuate




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Mathematical Problems in Engineering - Volume 2016 2016, Article ID 1683849, 6 pages -

Research Article

Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran

Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran

Received 27 May 2016; Revised 5 September 2016; Accepted 18 October 2016

Academic Editor: Zhen-Lai Han

Copyright © 2016 M. Asgari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Author: M. Asgari, R. Ezzati, and T. Allahviranloo

Source: https://www.hindawi.com/



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