Stability and convergence of a system of nonlinear difference equations

Autor: Aref'ev, V. S.
Zdroj: Computational Mathematics and Modeling; April 1990, Vol. 1 Issue: 2 p143-148, 6p
Abstrakt: We investigate stability and convergence of solutions of a system of nonlinear difference equations approximating a system of nonlinear parabolic equations. A linear system of similar structure is also considered. An energy norm is constructed for the linear system, and stability and convergence in this norm are proved under certain necessary conditions. Stability and convergence of solutions of the nonlinear system of difference equations are proved in a similar norm.
Databáze: Supplemental Index
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