Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation

DOI10.1186/s13662-018-1652-5zbMath1446.65142OpenAlexW2814342635WikidataQ129545581 ScholiaQ129545581MaRDI QIDQ1712437

Lingyu Li, Ziwen Jiang, Zhe Yin

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1652-5

zbMATH Keywords

convection-diffusion equationnumerical experimentscompact finite difference methodfourth-order accuracy

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

Compact finite-difference method for 2D time-fractional convection-diffusion equation of groundwater pollution problems ⋮ The compact finite difference method of two-dimensional Cattaneo model ⋮ A new simultaneously compact finite difference scheme for high-dimensional time-dependent PDEs ⋮ Adaptive high-order finite difference analysis of 2D quenching-type convection-reaction-diffusion equation ⋮ A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo-Fabrizio operator ⋮ Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions ⋮ Numerical analysis of time-fractional diffusion equations via a novel approach ⋮ Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term

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