首页|Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain

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  • NSTL
  • Elsevier
The time distributed-order diffusion-wave equation describes radial groundwater flow to or from a well. In the paper, an alternating direction implicit (ADI) Legendre-Laguerre spectral scheme is proposed for the two-dimensional time distributed-order diffusion wave equation on a semi-infinite domain. The Gauss quadrature formula has a higher computational accuracy than the Composite Trapezoid formula and Composite Simpson formula, which is presented to approximate the distributed order time 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 Legendre-Laguerre spectral scheme to avoid introducing the artificial boundary and in time using the weighted and shifted Grunwald-Letnikov difference (WSGD) method. A stability and convergence analysis is performed for the numerical approximation. Some numerical results are illustrated to justify the theoretical analysis. (C) 2021 Elsevier B.V. All rights reserved.

Two-dimensional time distributed-order diffusion-wave equationADI Legendre-Laguerre spectral methodGauss quadrature formulaStability and convergence analysisA semi-infinite domainCOMPACT DIFFERENCE SCHEMEIMPLICIT NUMERICAL-METHODANOMALOUS DIFFUSIONRANDOM-WALKSMODELCALCULUS

Zhang, Hui、Liu, Fawang、Jiang, Xiaoyun、Turner, Ian

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Shandong Univ

Queensland Univ Technol QUT

2022

10.1016/j.cam.2021.113712

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN：0377-0427
年,卷(期)：2022.399
  • 13
  • 58