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2 results

  • Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

  • Jincheng Ren, Zhi-zhong Sun
  • Journal:
    East Asian Journal on Applied Mathematics / Volume 4 / Issue 3 / August 2014
    Published online by Cambridge University Press:
    28 May 2015, pp. 242-266
    Print publication:
    August 2014
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  • Some efficient numerical schemes are proposed for solving one-dimensional (1D) and two-dimensional (2D) multi-term time fractional sub-diffusion equations, combining the compact difference approach for the spatial discretisation and L1 approximation for the multi-term time Caputo fractional derivatives. The stability and convergence of these difference schemes are theoretically established. Several numerical examples are implemented, testifying to their efficiency and confirming their convergence order.