复合型第二种Weber方程边值问题的新解法  

New Method for Solving the Boundary Value Problem of the Composite Second Weber System

作　　者：白丽霞[1] 李顺初[1] 桂东冬 

机构地区：[1]西华大学应用数学研究所,四川成都610039 [2]北京东润科石油技术股份有限公司,北京100029

出　　处：《中北大学学报（自然科学版）》2014年第6期633-637,共5页Journal of North University of China(Natural Science Edition)

基　　金：四川省教育厅重点项目(12ZA164);西华大学创新基金(ycjj2014036)

摘　　要：研究了复合型第二种Weber方程的一类边值问题,经变量替换转换为变型的Hermite方程边值问题.通过引入左(右)相似核函数,得到边值问题的左区间解可由左区间相似核函数和左边界条件的系数进行组装,右区间解可由左边界条件的系数和左引解函数、交界面条件的系数和右相似核函数进行组装,证明了复合型第二种Weber方程组边值问题的解式具有相似结构,由此提出了求解该类边值问题的一个新解法——相似构造法.A class of boundary value problem of the composite Second Weber system was investigated, by us- ing the variable substitution, the modified Hermite equations was obtained. By introducing left （right） similar kernel function, the left interval solution of boundary value problem can be assembled by left similar kernel function and the coefficient of the left boundary condition, the right interval solution of boundary value prob- lem can be assembled by right similar kernel function and the coefficient of the left boundary condition, func- tion of left guide solution and the coefficient of interface conditions, it is proved that the solution of boundary value problem of the composite second Weber system has the similar structure. And a new method is obtained for solving the composite boundary value problem similar constructing method （shortened as SCM）.

关 键 词：复合型第二种Weber方程组 边值问题 相似结构 相似核函数 相似构造法 

分 类 号：O175[理学—数学]