Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type

DOI10.1016/j.camwa.2022.08.014OpenAlexW4292133246WikidataQ113878653 ScholiaQ113878653MaRDI QIDQ2079723

Jing Guo, Leijie Qiao, Wenlin Qiu

Publication date: 30 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.014

zbMATH Keywords

numerical experimentsstability and convergence analysissecond-order convolution quadratureBDF2 ADI difference schemesmulti-dimensional tempered nonlocal problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (6)

A localized hybrid kernel meshless technique for solving the fractional Rayleigh-Stokes problem for an edge in a viscoelastic fluid ⋮ A fast numerical solution of the <scp>3D</scp> nonlinear tempered fractional integrodifferential equation ⋮ A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions ⋮ Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation ⋮ The efficient ADI Galerkin finite element methods for the three-dimensional nonlocal evolution problem arising in viscoelastic mechanics ⋮ Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity

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