摘要
本文考虑了重要的非线性Klein-Gordon方程数值计算的一类差分格式,在很一般的条件下,作者证明了这类非线性隐式差分方程解的存在性、收敛性、唯一性和稳定性,同时考虑了求解的一类迭代程序。
A kind of difference schemes for numerical solution of nonlinear Khin-Gordor equations are considered in this paper. Under quite general conditions, the author proves the existence, convergence, uniqueness and stability of solution to the nonlinear implicit difference equations and also discusses an iteration procedure for the solution. The analysis method used in the paper can he applied to other nonlinear implicit schemes.
出处
《应用数学与计算数学学报》
1993年第2期41-48,共8页
Communication on Applied Mathematics and Computation
