抛物微分方程动边界初值问题的有限元单步格式

The finite element single-step scheme to the moving border and initial value problem of parabolic differential equation

针对一类抛物微分方程动边界初值问题 ,通过变量变换化为时间函数系数的定边界问题 ,半离散后成常微分方程组 ,在施行Hermit近似积分公式后获得了一个精度是O(Δt4) +O(Δx4)的稳定的有限元单步格式 表 1,参

For a class of parabolic differential equation in initial and moving border value problem,translating into fix border problem and carrying out quadratic semi-discrete finite element on x-way and Hermite interpolation integral on t-way,this paper gains a stable finite element single step_scheme with precision O( Δ t 4)+O( Δ x 4).1tab.,6refs.