Year: 2020
Author: Jafar Biazar, Khadijeh Sadri
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 6 : pp. 879–902
Abstract
Two-variable Jacobi polynomials, as a two-dimensional basis, are applied to solve a class of temporal fractional partial differential equations. The fractional derivative operators are in the Caputo sense. The operational matrices of the integration of integer and fractional orders are presented. Using these matrices together with the Tau Jacobi method converts the main problem into the corresponding system of algebraic equations. An error bound is obtained in a two-dimensional Jacobi-weighted Sobolev space. Finally, the efficiency of the proposed method is demonstrated by implementing the algorithm to several illustrative examples. Results will be compared with those obtained from some existing methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1906-m2018-0131
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 6 : pp. 879–902
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Fractional partial differential equation Two-variable Jacobi polynomials Caputo derivative Error bound.