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Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline

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Abstract

The numerical solution for a class of time fractional diffusion equation via tension spline is studied. Time fractional derivative is considered in the Caputo sense. The numerical method is constructed by means of the Crank-Nicolson method and is proven to be conditionally stable. Convergence analysis is also discussed by using the Fourier series method. Numerical evidences are given to prove the efficiency of the proposed method.

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Acknowledgements

The authors would like to express their sincere thanks and gratitude to the editors and the anonymous referees for their valuable comments and suggestions in the improvement of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Kurukshetra, Haryana, 136 119, India

    A. S. V. Ravi Kanth & Deepika Sirswal

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  1. A. S. V. Ravi Kanth
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  2. Deepika Sirswal
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Correspondence to A. S. V. Ravi Kanth.

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Kanth, A.S.V.R., Sirswal, D. Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline. Numer Algor 79, 479–497 (2018). https://doi.org/10.1007/s11075-017-0447-1

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  • DOI: https://doi.org/10.1007/s11075-017-0447-1

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