A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations

DOI10.1186/S13662-019-2484-7zbMath1487.65114OpenAlexW2999517479WikidataQ126396997 ScholiaQ126396997MaRDI QIDQ2144015

Zhang Liu, Changkai Chen, Yage Zhang, Xiao-Hua Zhang

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2484-7

zbMATH Keywords

Padé approximationTaylor approximationcompact finite difference schemeprecise integration methodStrang splitting method

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A fourth-order accurate adaptive solver for incompressible flow problems ⋮ A new simultaneously compact finite difference scheme for high-dimensional time-dependent PDEs ⋮ Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach

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