求解一类奇异两点边值问题  

Solving a Class of Singular Two-Point Boundary Value Problems

作　　者：郭丽华[1] 王艳石[1] 么焕民[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2010年第4期68-70,共3页Natural Science Journal of Harbin Normal University

基　　金：哈尔滨师范大学博士启动基金资助项目(KGB200901)

摘　　要：运用再生核方法给出了求解一类奇异两点边值问题新的数值方法,构造了精确解的级数形式表达式,证明了近似解及其各阶导函数一致收敛到精确解及其各阶导函数,数值算例验证了方法的有效性.In this paper,a new numerical algorithm for solving a class of singular two-point boundary value problems in the reproducing kernel space is set up,and the representation of the exact solution is given in the form of series.The numerical solution is proved to uniformly converge to the exact one.Numerical example is proved that the algorithm is of high precision.

关 键 词：奇异 边值问题 再生核 收敛性 

分 类 号：O175.8[理学—数学]