Artificial boundary conditions for nonlinear time fractional Burgers' equation on unbounded domains

DOI10.1016/j.aml.2021.107277OpenAlexW3146393812MaRDI QIDQ2233316

Yuchen Wu, Hong-Wei Li

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107277

zbMATH Keywords

convergenceartificial boundary methodoperator splitting approachfractional Burgers' equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) 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 (7)

Efficient approach to solve time fractional Kardar-Parisi-Zhang equation on unbounded domains ⋮ Fast difference scheme for a tempered fractional Burgers equation in porous media ⋮ A Fast Temporal Second Order Difference Scheme for the Fractional Sub-diffusion Equations on One Dimensional Space Unbounded Domain ⋮ An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey ⋮ \(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation ⋮ An accurate, robust, and efficient finite difference scheme with graded meshes for the time-fractional Burgers' equation

Cites Work

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• Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space
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