| 抛物型方程的一族高精度恒稳定的隐式差分格式 |
| |
| 引用本文： | 马明书,王同科,申培萍. 抛物型方程的一族高精度恒稳定的隐式差分格式[J]. 工程数学学报, 2001, 18(2): 127-130,138 |
| |
| 作者姓名： | 马明书 王同科 申培萍 |
| |
| 作者单位： | 河南师范大学数学系, |
| |
| 基金项目： | 国家自然科学基金!资助项目 ( 698740 1 0) |
| |
| 摘 要： | 用待定参数法对一维抛物型方程构造了一族高精度恒稳定的隐式差分格式，格式的截断误差达O（Δt3 Δx6)，可用追赶法求解。
|
| 关 键 词： | 一维抛物型方程 高精度 隐式差分格式 截断误差 追赶法 |
| 文章编号： | 1005-3085(2001)02-0127-130 |
A Class of Implicit Difference Schemes with Hich Accuracy and Absolute Stability for Solving Parabolic Partial Differential Equation |
| |
| MA Ming-shu,WANG Tong-ke,SHEN Pei-ping. A Class of Implicit Difference Schemes with Hich Accuracy and Absolute Stability for Solving Parabolic Partial Differential Equation[J]. Chinese Journal of Engineering Mathematics, 2001, 18(2): 127-130,138 |
| |
| Authors: | MA Ming-shu WANG Tong-ke SHEN Pei-ping |
| |
| Abstract: | In this paper, a family of implicit difference schemes with high accuracy and absolute stability for solving one-dimensional parabolic partial differential equation are constructed by the method of undetermined parameters and their truncation errors are of order O(Δt3+Δx6). Finally, these schemes can be solved by double sweeping method. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
