一类Poisson方程的分离变量法  

Separating variables for a class of Poisson equation

作　　者：魏福红[1] 赵馨[1] 丁立刚[1] 唐俊[1] 张景[1] 

机构地区：[1]内蒙古科技大学数理与生物工程学院,内蒙古包头014010

出　　处：《内蒙古科技大学学报》2009年第3期280-282,共3页Journal of Inner Mongolia University of Science and Technology

摘　　要：以偏微分方程中的分离变量法为基础,利用特征函数系正交的特点,将偏微分方程的求解问题转化为常微分方程的求解,用一种比较简便的方法求出了一类非齐次Poisson方程的解析解,并给出具体的实例验证结果的有效性.Based on the separating variables in partial differential equations,the problem of solving partial differential equations was turned into ordinary differential equations by using eigenfunction s orthogonality.A class of inhomogeneous Poisson equation s analytic solution was obtained by using a relatively simple method,and specific examples were given to verify the validity of the results.

关 键 词：分离变量 特征函数 POISSON方程 

分 类 号：O175.2[理学—数学]