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Asian Simulation Conference

AsiaSim 2012: AsiaSim 2012 pp 115–123Cite as

Finite Difference Method for Solving the Time Fractional Diffusion Equation

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 325))

Abstract

Fractional diffusion equations are generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, we develop a difference scheme based on Hermite formula for solving one-dimensional time fractional diffusion equation. Stability and convergence results of the difference scheme are discussed. Finally, a numerical example is carried out to confirm the theoretical results.

The Project Supported by ‘QingLan’ Talent Engineering Funds of Tianshui Normal University.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, China

    Yu-xin Zhang & Hengfei Ding

Authors
  1. Yu-xin Zhang
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  2. Hengfei Ding
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Editor information

Editors and Affiliations

  1. National CIMS Engineering Research Center, Department of Automation, Tsinghua University, 100084, Beijing, China

    Tianyuan Xiao

  2. School of Automation Science and Electrical Engineering, Beihang University, 100191, Beijing, China

    Lin Zhang

  3. School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China

    Minrui Fei

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Zhang, Yx., Ding, H. (2012). Finite Difference Method for Solving the Time Fractional Diffusion Equation. In: Xiao, T., Zhang, L., Fei, M. (eds) AsiaSim 2012. AsiaSim 2012. Communications in Computer and Information Science, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34387-2_14

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  • DOI: https://doi.org/10.1007/978-3-642-34387-2_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34386-5

  • Online ISBN: 978-3-642-34387-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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