求解常系数偏微分方程的亥维赛算子法OA
Heaviside operator method for solving partial differential equations with constant coefficients
给出了求解非齐次常系数偏微分方程特解的亥维赛算子法.当非齐次项是多项式时,解法简洁明了.当非齐次项是拟多项式时,通过指数变换可以转化为多项式,得到特解.
In this paper,a Heaviside operator method for solving the special solution of partial differential equations with nonhomogeneous constant coefficients is given.When the nonhomogeneous term is a polynomial,the solution is concise and straightforward.When the nonhomogeneous term is a quasi-polynomial,it can be transformed into a polynomial case by exponential transformation,so as to obtain a special solution.
刘继涛;王兢
北京工业大学数学统计学与力学学院,北京 100124中央民族大学理学院,北京 100081
数理科学
常系数偏微分方程算子法特解
partial differential equations with constant coefficientsoperator methodspecial solution
《首都师范大学学报（自然科学版）》 2026 (2)
82-85,93,5
国家自然科学基金项目(12471218)北京工业大学研究生教育教学优秀成果培育项目(057000514125566)中央民族大学研究生教育教学改革项目(GRSCP202339)
评论