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

doi:10.4208/eajam.181113.280514a

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

2015-05-28

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DOI：10.4208/eajam.181113.280514a

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AbstractSome 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.

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

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