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• W2891419498 endingPage "2476" @default.
• W2891419498 startingPage "2460" @default.
• W2891419498 abstract "In the paper, a Crank–Nicolson alternating direction implicit (ADI) Galerkin–Legendre spectral scheme is presented for the two-dimensional Riesz space distributed-order advection–diffusion equation. The Gauss quadrature has a higher computational accuracy than the mid-point quadrature rule, which is proposed to approximate the distributed order Riesz space derivative so that the considered equation is transformed into a multi-term fractional equation. Moreover, the transformed equation is solved by discretizing in space by the ADI Galerkin–Legendre spectral scheme and in time using the Crank–Nicolson difference method. Stability and convergence analysis are verified for the numerical approximation. A lot of numerical results are demonstrated to justify the theoretical analysis." @default.
• W2891419498 created "2018-09-27" @default.
• W2891419498 creator A5003759585 @default.
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• W2891419498 date "2018-11-01" @default.
• W2891419498 modified "2023-10-15" @default.
• W2891419498 title "A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation" @default.
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• W2891419498 doi "https://doi.org/10.1016/j.camwa.2018.08.042" @default.
• W2891419498 hasPublicationYear "2018" @default.
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