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Finite difference methods for solving the two‐dimensional advection–diffusion equation
Author(s) -
Noye B. J.,
Tan H. H.
Publication year - 1989
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650090107
Subject(s) - finite difference method , discretization , partial differential equation , finite difference , mathematics , advection , ftcs scheme , diffusion equation , stability (learning theory) , convection–diffusion equation , differential equation , diffusion , mathematical analysis , ordinary differential equation , computer science , physics , differential algebraic equation , machine learning , economy , service (business) , economics , thermodynamics
Using weighted discretization with the modified equivalent partial differential equation approach, several accurate finite difference methods are developed to solve the two‐dimensional advection–diffusion equation following the success of its application to the one‐dimensional case. These new methods are compared with the conventional finite difference methods in terms of stability and accuracy. The new methods are more accurate and often more stable than the conventional schemes.