Difference methods for solving convection-diffusion equations

DOI10.1016/0898-1221(90)90158-GzbMath0718.65060MaRDI QIDQ2639608

Robert E. Lynch, Garrett. Birkhoff, Eugene C. Gartland jun.

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convection-diffusion equationboundary layerHODIE methodbackward differencing methodsDifference methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An integral equation approach to the unsteady convection-diffusion equations ⋮ Numerical generated basis functions for elliptic boundary-value problems ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis ⋮ On diffusive methods and exponentially fitted techniques

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