摘要
主要讨论了混合型、抛物型、双曲型3类偏微分方程的边值问题,用分离变量法将偏微分方程边值问题转化为常微分方程的S-L问题,然后通过线性叠加、选取适当的系数,得到广义的Fourier级数解.
It was considered parabolic type, hyperbolic type, and mixed type of partial differential equation boundary value problems, by separating variables partial differential equations were transformed to ordinary differential equations, and then their Fourier series solutions were obtained.
出处
《浙江师范大学学报（自然科学版）》
CAS
2005年第3期241-245,共5页
Journal of Zhejiang Normal University:Natural Sciences
基金
浙江省重点扶植学科资金资助项目(200337)
关键词
偏微分方程
边值问题
分离变量
级数解
boundary value problem
separting variable
Fourier series solution
