A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Applied Mathematical Modelling（2017）

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摘要

•A distributed-order advection–diffusion equation is considered.•A novel finite volume method is proposed.•The stability and convergence with second-order accuracy are proved.•Numerical results are given.

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关键词

Distributed-order equation,Finite volume method,Riesz fractional derivatives,Fractional advection–diffusion equation,Stability and convergence

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