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| DIFFERENCE-BOUNDARY INTEGRO DIFFERENTIAL EQUATION METHOD FOR TWO DIMENSIONAL PARABOLIC EQUATION | |
| 作者姓名： | 羊丹平 鲁统超 |
| 作者单位： | Dept.of Math. Shandong University，Jinan 250100，Dept.of Math.，Shandong University，Jinan 250100 |
| 摘 要： | Let Ω be a bounded domain in R~2 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_k=k_τ and u~k(x)=u(x,t,). We discrete u/ t of (1) by use of difference and getwhereQ~K=1/t(u~K-u~(k-1)-t u~k/ t+f(u~k)-f(u~(k-1)).(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. |
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