欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
1 引言 在研究热传导过程、气体扩散现象和电磁场的传播等问题时，常常遇到抛物型偏微分方程。用有限差分方法研究这类问题的数值解法目前已经有了许多工作。对于二维、三维抛物方程的数值求解比较理想的方法是交替方向法。
英文摘要：
The article is devoted to a compact alternate direct implicit difference method for the two-dimensinonal variable coefficient reaction-diffusion equations. First, a compact difference scheme is derived by the combinatioin of the method of reduction of order and the method of reduction of dimension. The expression of the truncation error is given in detail. Then, a compact ADI difference scheme is presented. Finally, a priori estimate of the solution of the compact difference scheme in a discrete H^1 norm is proved by the energy analysis method, with which the solvability and stability and convergence are achieved. The convergence order is O（r^2 ＋ h^4） in a discrete H^1 norm.
同期刊论文项目
同项目期刊论文
期刊信息
位置：