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A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method

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Abstract

A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method is presented in this paper. The proposed scheme is a combination of Crank–Nicolson method for the Caputo time derivative and exponential B-spline method for space derivative. The unconditional stability and convergence of the proposed scheme are presented. Several numerical examples are presented to illustrate the feasibility and efficiency of the proposed scheme.

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Acknowledgements

Authors are grateful to the anonymous reviewers for their insightful comments leading to the improved manuscript. The second author is thankful to the University Grants Commission of India for support under SRF scheme (Sr.No. 2061440951, reference no.22/06/14(i)EU-V).

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Kurukshetra, 136119, India

    A. S. V. Ravi Kanth & Neetu Garg

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  1. A. S. V. Ravi Kanth
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  2. Neetu Garg
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Correspondence to A. S. V. Ravi Kanth.

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Communicated by José Tenreiro Machado.

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Kanth, A.S.V.R., Garg, N. A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method. Comp. Appl. Math. 39, 37 (2020). https://doi.org/10.1007/s40314-019-1009-z

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  • DOI: https://doi.org/10.1007/s40314-019-1009-z

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