Economical Difference Scheme for One Multi-Dimensional Nonlinear System
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The multi-dimensional system of nonlinear partial differential equations is considered. In two-dimensional case, this system describes process of vein formation in higher plants. Variable directions finite difference scheme is constructed. The stability and convergence of that scheme are studied. Numerical experiments are carried out. The appropriate graphical illustrations and tables are given.
Key wordsSystem of nonlinear partial differential equations variable directions finite difference scheme stability and convergence numerical resolution
2010 MR Subject Classification65M06 65M12 65M99 35Q92 92B05
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