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STABILITY OF DIFFERENCE SCHEMES FOR NONLINEAR PARABOLIC SYSTEMS WITH THREE DIMENSIONS

STABILITY OF DIFFERENCE SCHEMES FOR NONLINEAR PARABOLIC SYSTEMS WITH THREE DIMENSIONS
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摘要 In this paper the existence of discrete vector solutions with bounded second order quotientsfor the difference systems of nonlinear parabolic system is established by the fixed point technique,and then the absolute and relative stability for the general difference schemes is justified in thesense of continuous dependence of the discrete vector solution of the difference schemes on thediscrete data of the original problems. In this paper the existence of discrete vector solutions with bounded second order quotientsfor the difference systems of nonlinear parabolic system is established by the fixed point technique,and then the absolute and relative stability for the general difference schemes is justified in thesense of continuous dependence of the discrete vector solution of the difference schemes on thediscrete data of the original problems.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第3期284-299,共16页 应用数学学报(英文版)
关键词 Difference scheme bounded quotients of second order stability nonlinear parabolic systems with two and three space dimensions Difference scheme, bounded quotients of second order, stability,nonlinear parabolic systems with two and three space dimensions
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