Acta Mathematica Scientia

, Volume 39, Issue 4, pp 971–988 | Cite as

Economical Difference Scheme for One Multi-Dimensional Nonlinear System

  • Temur JangveladzeEmail author
  • Zurab KiguradzeEmail author
  • Mikheil GagoshidzeEmail author


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 

2010 MR Subject Classification

65M06 65M12 65M99 35Q92 92B05 


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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.Ilia Vekua Institute of Applied MathematicsIvane Javakhishvili Tbilisi State UniversityTbilisiGeorgia
  2. 2.Georgian Technical UniversityTbilisiGeorgia
  3. 3.Department of Electrical and Computer Engineering, Electromagnetic Compatibility LaboratoryMissouri University Science and TechnologyRollaUSA

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