摘要
为了使本征值问题的求解更加完善,利用Iserles在2008年提出的修正傅里叶级数的三角基函数,使数学物理方法中的分离变量法成为一个全新的求解方法.利用这一方法对一类定解问题进行求解,最终得到了该问题的修正傅里叶级数解,验证了所提出的新方法的正确性.
In order to solve the eigenvalue problem, a new method was proposed, one of the separation of variables in the mathematical physics based by the modified triangle basis functions suggested by Iserles in 2008. And then a class of problems was solved using this new method. And a right solve for this problem was put forward, which was verified the correctness of the proposed new method.
出处
《湖南文理学院学报（自然科学版）》
CAS
2012年第2期4-5,共2页
Journal of Hunan University of Arts and Science(Science and Technology)
关键词
偏微分方程
分离变量法
级数解
partial differential equations
separation of variables method
series solution
