W A HASHEM
Articles written in Pramana – Journal of Physics
Volume 95 All articles Published: 8 May 2021 Article ID 0079 Reserach Article
HODA F AHMED M R A MOUBARAK W A HASHEM
In this article, a novel shifted Gegenbauer operational matrix (SGOM) of fractional derivative in the Caputo sense is derived. Based on this operational matrix, an accurate and effective numerical algorithm is proposed.The SGOM of fractional derivative in conjunction with the tau method are used for solving the constant and variable coefficients space–time fractional telegraph equations (FTE) with various types of boundary conditions, namely,Neumann, Dirichlet and Robin conditions. The convergence analysis of the proposed method is established in $\mathcal L^2_{\omega _\alpha} $. Finally, miscellaneous test examples are given and compared with other methods to clarify the accuracy and efficiency of the presented algorithm.
Volume 96, 2022
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