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- W2790392004 abstract "In this article, a block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition is introduced and analysed. The stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete norms with optimal order of convergence O(Δt1+σ/2+h2+k2+σ2) both for pressure and velocity are established on non-uniform rectangular grids, where Δt,h,k and σ are the step sizes in time, space in x- and y-direction, and distributed order. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis." @default.
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- W2790392004 date "2018-05-08" @default.
- W2790392004 modified "2023-09-24" @default.
- W2790392004 title "A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition" @default.
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- W2790392004 doi "https://doi.org/10.1080/00207160.2018.1455093" @default.
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