| 线性偏微分方程问题的微分算子解 |
| |
| 引用本文： | 陆平. 线性偏微分方程问题的微分算子解[J]. 中北大学学报(自然科学版), 2004, 25(3): 157-161 |
| |
| 作者姓名： | 陆平 |
| |
| 作者单位： | 华北工学院,应用数学系,山西,太原,030051 |
| |
| 摘 要： | 用微分算子法给出了线性扩散方程和波动方程的通解及初值以及边值相关问题的算子解,特别是对非齐次方程和非齐次边界问题处理尤其简捷适用.同时,此法也很好地克服了行波法、分离变量法与积分变换法等方法计算的繁锁,成为一种简便易记计算十分简单的解决问题的方法.
|
| 关 键 词： | 微分算子解 算子分解式 通解 线性偏微分方程 非齐次边界 |
| 文章编号： | 1006-5431(2004)03-0157-05 |
| 修稿时间： | 2003-09-25 |
Solution of Operators to Problem of Linear Partial Differential Equations |
| |
| LU Ping. Solution of Operators to Problem of Linear Partial Differential Equations[J]. Journal of North University of China, 2004, 25(3): 157-161 |
| |
| Authors: | LU Ping |
| |
| Abstract: | General solution expression of linear partial diferential equations is given by diferential operators. And the solution of problem with initial and boundary conditions is obtained by writing the expression. The method is convenient to be used, especially to nonhomogeneous equations and nonhomogeneous boundary value problem. It has become a general method. |
| |
| Keywords: | differential operators solution resolvent of operators general solution linear partial differential Equation nonhomogeneous boundary |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
