High order compact block-centered finite difference schemes for elliptic and parabolic problems

DOI10.1007/s10915-021-01507-xzbMath1476.65192OpenAlexW3159595365MaRDI QIDQ2031862

Kai Fu, Yilei Shi, Shu-Sen Xie, Dong Liang

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/s10915-021-01507-x

zbMATH Keywords

stabilityparabolic equationerror estimatecompact schemeelliptic equationblock-centered finite difference

Mathematics Subject Classification ID

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) Second-order elliptic equations (35J15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order parabolic equations (35K10)

Related Items (7)

High Order Compact Schemes for Flux Type BCs ⋮ \(L1\)-robust analysis of a fourth-order block-centered Finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations ⋮ A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations ⋮ Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients ⋮ A high-order time discretizing block-centered finite difference method for compressible wormhole propagation ⋮ A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients ⋮ High order compact finite difference methods for non-Fickian flows in porous media

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