首都师范大学学报（自然科学版）2026，Vol.47Issue(2)：82-85,93,5.DOI:10.19789/j.1004-9398.2026.02.012
求解常系数偏微分方程的亥维赛算子法
Heaviside operator method for solving partial differential equations with constant coefficients
摘要
Abstract
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.关键词
常系数偏微分方程/算子法/特解Key words
partial differential equations with constant coefficients/operator method/special solution分类
数理科学引用本文复制引用
刘继涛,王兢..求解常系数偏微分方程的亥维赛算子法[J].首都师范大学学报（自然科学版）,2026,47(2):82-85,93,5.基金项目
国家自然科学基金项目(12471218) （12471218）
北京工业大学研究生教育教学优秀成果培育项目(057000514125566) （057000514125566）
中央民族大学研究生教育教学改革项目(GRSCP202339) （GRSCP202339）
