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| 二维抛物型方程的一族高精度分支稳定显格式 | |
| 引用本文： | 詹涌强. 二维抛物型方程的一族高精度分支稳定显格式[J]. 高等学校计算数学学报, 2021, 43(1): 16-27 |
| 作者姓名： | 詹涌强 |
| 作者单位： | 广东交通职业技术学院基础部数学教研室,广州510800 |
| 摘 要： | 1 引言在渗流、扩散、热传导等领域中经常会遇到求解二维抛物型方程的初边值问题{(6)u/(6)=a((6)2u/(6)x2+(6)2u/(6)y2), 0＜x,y＜L,t＞0,a＞0u(x, y, 0) =φ(x, y), 0 ≤ x, y ≤ L (1)u(0,y,t) =f1(y,t),u(L,y,t) =f2... |
| 关 键 词： | 二维抛物方程 显式差分格式 截断误差 |
A FAMILY OF HIGH ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 2-D PARABOLIC EQUATION |
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| Zhan Yongqiang. A FAMILY OF HIGH ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 2-D PARABOLIC EQUATION[J]. Numerical Mathematics A Journal of Chinese Universities, 2021, 43(1): 16-27 | |
| Authors: | Zhan Yongqiang |
| Affiliation: | (Department of Mathematics Education,Guangdong Communication Polytechnic College,Guangzhou 510800) |
| Abstract: | Proposed in the paper was an explicit difference scheme with high ac-curacy and branching stability for solving two-dimension parabolic type equation by the method of undetermined parameters.The truncation error of the scheme was O(△t3+△x4).The difference scheme was proved to be stable if r<1/2.The.numerical experiment shows the numerical solutions of difference scheme and the precise solutions are matched and the difference scheme is effective. |
| Keywords: | two-dimension parabolic equation explicit difference schemes truncation error |
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