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Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements

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Abstract

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions obtained by collocation method using cubic B-spline base functions. The aim of this paper is to show that the finite element method based on the cubic B-spline collocation method approach is also suitable for the treatment of the fractional differential equations. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Art, Inönü University, Malatya, 44280, Turkey

    Alaattin Esen

  2. Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Hatay, 31000, Turkey

    Orkun Tasbozan

Authors
  1. Alaattin Esen
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  2. Orkun Tasbozan
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Correspondence to Orkun Tasbozan.

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Esen, A., Tasbozan, O. Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements. Mediterr. J. Math. 13, 1325–1337 (2016). https://doi.org/10.1007/s00009-015-0555-x

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  • DOI: https://doi.org/10.1007/s00009-015-0555-x

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