摘要
Let Ω be a bounded domain in R<sup>2</sup> with smooth boundary and Ω’ be the complementary set of Ω∪ .We consider the Neumann’s problem of parabolic equation as follow;Let τ be time step, t<sub>k</sub>=k<sub>τ</sub> and u<sup>k</sup>（x）=u（x,t,）. We discrete u/ t of （1） by use of difference and getwhereQ<sup>K</sup>=1/t(u<sup>K</sup>-u<sup>k-1</sup>-t u<sup>k</sup>/ t+f（u<sup>k</sup>）-f(u<sup>k-1</sup>).（2） is a family of Neumann’s boundary value problems of Helmholtz equation. Let E（x,y） be the funda-mental solution to Helmholtz equation, i. e.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1991年第1期83-84,共2页
Journal of Sichuan Normal University（Natural Science）
