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An approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin method

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  • Esen, A.
  • Tasbozan, O.

Abstract

In the present article, a quadratic B-spline finite element Galerkin method has been used to obtain numerical solutions of the nonlinear time fractional gas dynamics equation. While the Caputo form is used for the time fractional derivative appearing in the equation, the L1 discretization formula is applied to the equation in time. A numerical example is given and the obtained results show the accuracy and efficiency of the method. Therefore, the present method can be used as an efficient alternative one to find out the numerical solutions of other both linear and nonlinear fractional differential equations available in the literature.

Suggested Citation

  • Esen, A. & Tasbozan, O., 2015. "An approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin method," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 330-336.
    • Handle: RePEc:eee:apmaco:v:261:y:2015:i:c:p:330-336
    DOI: 10.1016/j.amc.2015.03.126
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    Cited by:

    1. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.

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