| 二维抛物型方程非齐次边值问题的高精度差分格式 |
| |
| 引用本文： | 王洁,张海良.二维抛物型方程非齐次边值问题的高精度差分格式[J].台州学院学报,2007,29(3):1-3. |
| |
| 作者姓名： | 王洁 张海良 |
| |
| 作者单位： | 1. 华东师范大学,数学系,上海,200062;台州学院,数学与信息工程学院,临海,317000
2. 台州学院,数学与信息工程学院,临海,317000 |
| |
| 摘 要： | 针对二维非齐次抛物型方程提出了高精度紧致差分格式，本文将把在2]中二维问题的差分格式在空间方向上提高到四阶，对其进行了收敛性分析，证明其收敛阶为o（△t^2＋hx^4＋hy^4），并采用ADI算法将二维问题降为一阶求解。
|
| 关 键 词： | 二维抛物型方程 非齐次边值问题 高精度 收敛性 ADI算法 |
| 文章编号： | 1672-3708（2007）03-0001-03 |
| 修稿时间： | 2006-11-03 |
A High-order Finite Difference for Solving Two-dimensional Parabolic Equations with Nonhomogeneous Boundary Conditions |
| |
| WANG Jie,ZHANG Hai-liang.A High-order Finite Difference for Solving Two-dimensional Parabolic Equations with Nonhomogeneous Boundary Conditions[J].Journal of Taizhou University,2007,29(3):1-3. |
| |
| Authors: | WANG Jie ZHANG Hai-liang |
| |
| Institution: | 1. Department of Mathematics, East China Normal University, Shanghai 200062 ; 2. School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, China |
| |
| Abstract: | A high - order finite difference is presented in this article for solving two - dimensional parabolic equations with nonhomogeneous boundary. The method is second - order accurate in the temporal dimension and fourth - order accurate in the spatial dimension. ADI algorithm is used to get the solutions by reducing the dimension. |
| |
| Keywords: | two - dimensional parabolic equations nonhomogeneous boundary high - order accuracy t~nite difference convergence ADI algorithms |
| 本文献已被 维普 万方数据 等数据库收录！ |
