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Explicit Error Estimates for Difference Schemes Solving the Stationary Constant Coefficient Diffusion‐Convection‐Reaction Equation
Author(s) -
Stoyan G.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840640306
Subject(s) - mathematics , constant (computer programming) , diffusion , convergence (economics) , mathematical analysis , order (exchange) , constant coefficients , nonlinear system , convection , convection–diffusion equation , diffusion equation , physics , thermodynamics , computer science , quantum mechanics , economy , finance , service (business) , economics , programming language , economic growth
Some difference schemes for the cited (stationary) equation are considered and their accuracy is estimated by known quantities only. The results are useful for any Peclét number and imply uniform convergence (with respect to a small diffusion coefficient) up to forth order in h in the linear case and of first order in the mildly nonlinear case.