一类非线性反应-扩散方程有限差分格式的稳定性研究
In the article,the fully discrete finite difference scheme for a type of nonlinear reaction-diffusion equation is established.Then the new function space is introduced and the stability problem for the finite difference scheme is discussed by means of variational approximation method in this function space.The approach used is of a simple characteristic in gaining the stability condition of the scheme.
作 者: 徐琛梅 XU Chen-mei 作者单位: College of Mathematics and Information Science,Henan University,Kaifeng 475001,China 刊 名: 数学季刊(英文版) ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年,卷(期): 2008 23(2) 分类号: O241.84 关键词: reaction-diffusion equation finite difference scheme stability research variational approximation method