求解一类四阶奇异边值问题的新算法  

Solving Singular Boundary-value Problem of Fourth Order in the Reproducing Kernel Space

作　　者：贺裕[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1期13-17,共5页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金(A2007-11);黑龙江省教育厅骨干教师计划项目(1151G09);哈尔滨师范大学博士启动基金项目资助(KGB200901)

摘　　要：在再生核空间W5[0,1]中求解一类四阶奇异边值,给出精确解的级数形式的精确表达式.证明近似解一致收敛于精确解.数值算例验证了算法的有效性.In this paper,a method for solving singular boundary-value problem of fourthe order in the reproducing kernel space is presented.The exact solution is represented in the form of series in the reproducing kernel space.In the mean time,the n_term approximate solution is proved to converge to the exact solution.The high precision of this method is demonstrated by the numerical examples.

关 键 词：精确解 奇异两点边值问题 再生核空间 

分 类 号：O175.8[理学—数学]