Numerical solution of time-fractional telegraph equation by using a new class of orthogonal polynomials

Fakhrodin Mohammadi; Hossein Hassani

doi:10.5269/bspm.44010

Fakhrodin Mohammadi University of Hormozgan‎
Hossein Hassani Shahrekord University

Abstract

‎In this article‎, ‎an efficient numerical method based on a new class of orthogonal polynomials‎, ‎namely Chelyshkov polynomials‎, ‎has been presented to approximate solution of time-fractional telegraph (TFT) equations‎. ‎The fractional operational matrix of the Chelyshkov polynomials along with the typical collocation method is used to reduces TFT equations to a system of algebraic equations‎. ‎The error analysis of the proposed collocation method is also investigated‎. ‎A comparison with other published results confirms that the presented Chelyshkov collocation approach is efficient and accurate for solving TFT equations‎. ‎Illustrative examples are included to demonstrate the efficiency of the Chelyshkov method‎.

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Author Biographies

Fakhrodin Mohammadi, University of Hormozgan‎

Department of Mathematics, ‎‎Faculty of Science

Hossein Hassani, Shahrekord University

‎Department of Applied Mathematics‎, Faculty of Mathematical Science

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