Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 19, Issue 5, Pages 638-652Publisher
WILEY
DOI: 10.1002/num.10065
Keywords
Dirichlet boundary value; difference schemes; nonuniform meshes; uniqueness; convergence; nonlinear parabolic system
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A linearized three-level difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Dirichlet boundary value problem of the nonlinear parabolic systems. It is proved that the difference scheme is uniquely solvable and second order convergent in L-infinity-norm. (C) 2003 Wiley Periodicals, Inc.
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