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Numerical solution of fractional differential equations by using fractional B-spline

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Central European Journal of Physics

Abstract

In this paper, we present fractional B-spline collocation method for the numerical solution of fractional differential equations. We consider this method for solving linear fractional differential equations which involve Caputo-type fractional derivatives. The numerical results demonstrate that the method is efficient and quite accurate and it requires relatively less computational work. For this reason one can conclude that this method has advantage on other methods and hence demonstrates the importance of this work.

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Authors and Affiliations

  1. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, P. Bag X2046, Mmabatho, 2735, South Africa

    Hossein Jafari & Chaudry M. Khalique

  2. Department of Mathematics, Imam Khomeini International, Qazvin, Iran

    Mohammad Ramezani

  3. Department of Mathematics, University of Mazandaran, 47416-95447, Babolsar, Iran

    Hossein Jafari & Haleh Tajadodi

Authors
  1. Hossein Jafari
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  2. Chaudry M. Khalique
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  3. Mohammad Ramezani
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  4. Haleh Tajadodi
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Correspondence to Chaudry M. Khalique.

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Jafari, H., Khalique, C.M., Ramezani, M. et al. Numerical solution of fractional differential equations by using fractional B-spline. centr.eur.j.phys. 11, 1372–1376 (2013). https://doi.org/10.2478/s11534-013-0222-4

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  • DOI: https://doi.org/10.2478/s11534-013-0222-4

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