ECONOMICAL DIFFERENCE SCHEME FOR ONE MULTI-DIMENSIONAL NONLINEAR SYSTEM

doi:10.1007/s10473-019-0405-1

Abstract

Abstract: 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 words: System of nonlinear partial differential equations, variable directions finite difference scheme, stability and convergence, numerical resolution

CLC Number:

65M06

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.

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