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Quadratic B-Spline Galerkin Method for Numerical Solutions of Fractional Telegraph Equations
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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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Distribution:
Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

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[1] B. Karaagac, Y. Ucar, N. Yagmurlu, A. Esen, "A New Perspective on The Numerical Solution for Fractional Klein Gordon Equation", Journal of Polytechnic, 2018

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