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Monotone Iterates for Solving Nonlinear Monotone Difference Schemes

โœ Scribed by I. Boglaev


Publisher
Springer Vienna
Year
2006
Tongue
English
Weight
147 KB
Volume
78
Category
Article
ISSN
0010-485X

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โœ Yuan-ming Wang; Ben-yu Guo ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 197 KB

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

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There are considered elliptic and parabolic equations of arbitrary dimension with alternating coefficients at mixed derivatives. For such equations, monotone difference schemes of the second order of local approximation are constructed. Schemes suggested satisfy the principle of maximum. A priori es