SUN Hongguang, CHEN Wen, CAI Xing. Comparative Study of Numerical Algorithms for "Anomalous" Diffusion Equation with Spatial Fractional DerivativesJ. Chinese Journal of Computational Physics, 2009, 26(5): 719-724.
Citation: SUN Hongguang, CHEN Wen, CAI Xing. Comparative Study of Numerical Algorithms for "Anomalous" Diffusion Equation with Spatial Fractional DerivativesJ. Chinese Journal of Computational Physics, 2009, 26(5): 719-724.

Comparative Study of Numerical Algorithms for "Anomalous" Diffusion Equation with Spatial Fractional Derivatives

  • We use explicit difference scheme,implicit difference scheme,and Crank-Nicholson difference scheme to discretize an anomalous diffusion equation with spatial fractional derivatives,and analyze their performances in terms of truncation error,stability and computing expense.A numerical example is examined to validate the results.
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