Efficient exponential compact higher order difference scheme for convection dominated problems

DOI10.1016/j.matcom.2011.10.004zbMath1245.65147OpenAlexW2043346499MaRDI QIDQ433620

Sanyasiraju V. S. S. Yedida, Nachiketa Mishra

Publication date: 5 July 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.10.004

zbMATH Keywords

convergencenumerical examplesfinite difference schemeartificial diffusionRichardson extrapolationlinear convection-diffusion equationsalternate direction implicit procedurecompact higher order schemeexponential scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ Exponential higher-order compact scheme for 3D steady convection-diffusion problem ⋮ Analysis on the stability of numerical schemes for a class of stochastic partial differential systems

Cites Work

• Unnamed Item
• High-order compact exponential finite difference methods for convection-diffusion type problems
• Numerical solution of partial differential equations. Transl. from the German by Peter R. Wadsack
• Spectral resolutioned exponential compact higher order scheme (SRECHOS) for convection-diffusion equations
• Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• Steady-state convection-diffusion problems
• Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
• A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations

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