摘要
给出一类求解带非线性边界条件的反应扩散方程组的组合单调迭代法 ,证明了当反应项和边界条件具有拟单调性时迭代序列的单调收敛性以及数值方法的稳定性 .
Combined monotone methods for numerical solutions of a class of coupled parabolic equations with nonlinear boundary conditions are presented. It is shown that when the reaction functions and boundary conditions are quasimonotone, these two sequences converge monotonically to a unique solution of the finite difference system. The convergence and stability of the monotone iterative schemes are also discussed.
出处
《数学杂志》
CSCD
2000年第4期452-458,共7页
Journal of Mathematics
