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R.M. Hafez Y.H. Youssri

Abstract

We propose a numerical scheme to solve a general class of time-fractional order telegraph equation in multidimensions using collocation points nodes and approximating the solution using double shifted Jacobi polynomials. The main characteristic behind this approach is to investigate a time-space collocation approximation for temporal and spatial discretizations. The applica bility and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple, applicable, and accurate.

Article Details

Keywords

Time-fractional order telegraph equation;, Shifted Jacobi polynomials;, Gauss-Jacobi nodes;, Matrix equation.

References
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How to Cite
HafezR., & YoussriY. (2020). Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation. Iranian Journal of Numerical Analysis and Optimization, 10(1), 195-223. https://doi.org/10.22067/ijnao.v10i1.82774
Section
Research Article