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Carella, A.R. and Dorao, C.A. (2013) Least-Squares Spectral Method for the Solution of a Fractional Advection-Dispersion Equation. Journal of Computational Physics, 232, 33-45.
https://doi.org/10.1016/j.jcp.2012.04.050

has been cited by the following article:

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

  AUTHORS: Ebimene James Mamadu, Ignatius Nkonyeasua Njoseh, Henrietta Ify Ojarikre

  KEYWORDS: Finite Difference Method, Mamadu-Njoseh Polynomials, Telegraph Equation, Gaussian Elimination Method, Quadrature Formula, Sobolev Space

  JOURNAL NAME: Applied Mathematics, Vol.13 No.9, September 29, 2022

  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.