Space Discretization of Time-Fractional Telegraph Equation with Mamadu-Njoseh Basis Functions

Mamadu, Ebimene James and Njoseh, Ignatius Nkonyeasua and Ojarikre, Henrietta Ify (2022) Space Discretization of Time-Fractional Telegraph Equation with Mamadu-Njoseh Basis Functions. Applied Mathematics, 13 (09). pp. 760-773. ISSN 2152-7385

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Abstract

In this paper, we examine the space discretization of time fractional telegraph equation (TFTE) with Mamadu-Njoseh orthogonal basis functions. For ease and convenience, we deal with the fractional derivative by first converting from Caputo’s type to Riemann-Liouville’s type. The proposed method was constrained to precise error analysis to establish the accuracy of the method. Numerical experimentation was implemented with the aid of MAPLE 18 to show convergence of the method as compared with the analytic solution.

Item Type: Article
Subjects: Universal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 21 Jan 2023 04:42
Last Modified: 02 May 2024 08:37
URI: http://journal.article2publish.com/id/eprint/909

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