The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations

DOI10.1007/s10915-021-01519-7zbMath1477.65176OpenAlexW3160436836MaRDI QIDQ2032047

Yetong Li, Tengjin Zhao, Tongke Wang, Zhi-Yue Zhang

Publication date: 15 June 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01519-7

zbMATH Keywords

finite volume methodhigh ordernonlinear degenerate parabolic equationsimproved augmented methodsmulti-augmented variablesPuiseux series expansion

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Degenerate parabolic equations (35K65) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (7)

Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes ⋮ A hybrid augmented compact finite volume method for the Thomas-Fermi equation ⋮ Analyses of the contour integral method for time fractional normal-subdiffusion transport equation ⋮ New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method ⋮ High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations ⋮ A seamless, extended DG approach for advection-diffusion problems on unbounded domains ⋮ High-accuracy time discretization of stochastic fractional diffusion equation

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