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A second‐order linearized difference scheme for a strongly coupled reaction‐diffusion system
Author(s) -
Cao HaiYan,
Sun ZhiZhong
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20232
Subject(s) - mathematics , norm (philosophy) , boundary value problem , convergence (economics) , reaction–diffusion system , partial differential equation , mathematical analysis , order (exchange) , reduction (mathematics) , scheme (mathematics) , neumann boundary condition , geometry , finance , political science , law , economics , economic growth
This article deals with the numerical solution to some models described by the system of strongly coupled reaction–diffusion equations with the Neumann boundary value conditions. A linearized three‐level scheme is derived by the method of reduction of order. The uniquely solvability and second‐order convergence in L 2 ‐norm are proved by the energy method. A numerical example is presented to demonstrate the accuracy and efficiency of the proposed method. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007