Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation

Iranian Journal of Numerical Analysis and Optimization

مقاله 12، دوره 10، شماره 1 - شماره پیاپی 17، تیر 2020، صفحه 195-223   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v10i1.82774

نویسندگان

R.M. Hafez¹؛ Y.H. Youssri^{* 2}

¹Department of Mathematics, Faculty of Education, Matrouh University, Matrouh, Egypt.

²Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.

چکیده

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.

کلیدواژه‌ها

Time-fractional order telegraph equation؛ Shifted Jacobi polynomials؛ Gauss-Jacobi nodes؛ matrix equation

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