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.
Temur JANGVELADZE
,
Zurab KIGURADZE
,
Mikheil GAGOSHIDZE
. ECONOMICAL DIFFERENCE SCHEME FOR ONE MULTI-DIMENSIONAL NONLINEAR SYSTEM[J]. Acta mathematica scientia, Series B, 2019
, 39(4)
: 971
-988
.
DOI: 10.1007/s10473-019-0405-1
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