河南理工大学学报：自然科学版2012，Vol.31Issue(2)：235-238,4.
特征线方法及其在求解偏微分方程中的应用
Characteristic method and its some applications in solving partial differential equations
摘要
Abstract
For one order linear hyperbolic partial differential equation , we aim to obtain the analytic solution of the Cauehy problem, so we propose characteristic method. The fundamental idea is to transform the Cauchy problem of partial differential equation into the corresponding problem of order differential equation. By solving the order differential equation, we can obtain the solution of the former partial differential equation. Through studying method of characteristics, we get the general steps of solving the Cauehy problem of one order linear hyperbolic partial differential equation. Furthermore, we give some applications.关键词
特征线方法/一阶偏微分方程/解析解Key words
characteristic method/One order partial differential equations/analytic solution分类
数学引用本文复制引用
李五明..特征线方法及其在求解偏微分方程中的应用[J].河南理工大学学报：自然科学版,2012,31(2):235-238,4.基金项目
国家自然科学基金资助项目 （）
河南理工大学青年基金资助项目（Q2011-15）. （）
