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Monotone Finite Difference Schemes for Nonlinear Systems with Mixed Quasi-Monotonicity

✍ Scribed by Yuan-ming Wang; Ben-yu Guo

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
197 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

Monotone finite difference schemes are proposed for nonlinear systems with mixed quasi-monotonicity. Two monotone iteration processes for the corresponding discrete problems are presented, which converge monotonically to the quasisolutions of the discrete problems. The limits are the exact solutions under some conditions. A monotone finite difference scheme on uniform mesh with the accuracy of fourth order is constructed. The numerical results coincide with theoretical analysis.  2002 Elsevier Science (USA)

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