A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations

DOI10.1016/j.amc.2014.03.139zbMath1334.65140OpenAlexW1999024929MaRDI QIDQ275036

Tao Wang, Yuan-Ming Wang

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.139

zbMATH Keywords

finite difference methoderror estimateRichardson extrapolationparabolic differential equationcompact locally one-dimensional method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations ⋮ A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ High order locally one-dimensional methods for solving two-dimensional parabolic equations ⋮ A compact locally one-dimensional method for fractional diffusion-wave equations ⋮ Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives ⋮ High-order compact LOD methods for solving high-dimensional advection equations ⋮ A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations ⋮ Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations ⋮ Accuracy improvement of a predictor-corrector compact difference scheme for the system of two-dimensional coupled nonlinear wave equations

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