Quadratic B-Spline Galerkin Method for Numerical Solutions of Fractional Telegraph Equations

Tasbozan, Orkun; Esen, Alaattin

doi:10.18052/www.scipress.com/BMSA.18.23

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Quadratic B-Spline Galerkin Method for Numerical Solutions of Fractional Telegraph Equations

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Abstract:

In this study, the authors employed the quadratic B-spline Galerkin method to solve time fractional order telegraph equations. Three model problems are consideredto implement the method. L₂, L_∞ error norms and numerical results have been presented in tables. Absolute error graphics for all the exact and numerical solutionshave been given

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 18)

Pages:

23-39

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.18.23

Citation:

O. Tasbozan and A. Esen, "Quadratic B-Spline Galerkin Method for Numerical Solutions of Fractional Telegraph Equations", Bulletin of Mathematical Sciences and Applications, Vol. 18, pp. 23-39, 2017

Online since:

May 2017

Authors:

Orkun Tasbozan, Alaattin Esen

Keywords:

Finite Element Method, Galerkin Method, Quadratic B-Spline, Time Fractional Telegraph Equation

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Open Access

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Creative Commons Attribution 4.0 International License

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DOI: https://doi.org/10.2339/politeknik.428986

[2] M. Partohaghighi, M. Inc, M. Bayram, D. Baleanu, "On Numerical Solution Of The Time Fractional Advection-Diffusion Equation Involving Atangana-Baleanu-Caputo Derivative", Open Physics, Vol. 17, p. 816, 2019

DOI: https://doi.org/10.1515/phys-2019-0085

[3] A. Majeed, M. Kamran, N. Asghar, "Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 0, 2021