TY - JOUR
T1 - Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems
AU - Yulin Zhou , Longjun Shen  & Guangwei Yuan 
JO - Journal of Partial Differential Equations
VL - 3
SP - 257
EP - 274
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5596.html
KW - Difference scheme
KW - two and three dimensional nonlinear parabolic systems
KW - iteration
AB -  In this paper, we study the general difference schemes of the boundary value problem for the nonlinear parabolic systems with two and three space dimensions. To solve the nonlinear difference schemes, we construct an iterative sequence from the solutions or the linearized difference schemes. We shall prove the convergence of the difference solutions for the iterative difference schemes to the solution of the original boundary value problem or the nonlinear parabolic systems.