A stencil of the finite-difference method for the 2D convection diffusion equation and its new iterative scheme

DOI10.1080/00207160802691637zbMath1202.65117OpenAlexW1990926049MaRDI QIDQ3056394

Shouhui Zhang, Wenqia Wang

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802691637

zbMATH Keywords

convergencenumerical examplecomparison of methodsparallel computationiterative methodJacobi iterationfinite differenceconvection diffusion equation

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) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (4)

Fast successive permutation iterative algorithms for solving convection diffusion equation ⋮ Wavelet-optimized compact finite difference method for convection-diffusion equations ⋮ An automatic node-adaptive scheme applied with a RBF-collocation meshless method ⋮ A Compact Higher-Order Scheme for Two-Dimensional Unsteady Convection–Diffusion Equations

Cites Work

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• Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow
• A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
• Group explicit methods for parabolic equations
• Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems

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