摘要
该文在再生核空间W^92[0，1]中给出了求解八阶奇异边值问题的新算法．方程的精确解以级数形式给出．算例及数值结果验证了方法的实用性和有效性．
In this paper, a new algorithm for solving singular boundary-value problems ot eighth-order is presented based on the reproducing kernel space W^92 [0, 1]. The representation of the exact solution is given in the series form. Some examples are mentioned for the usefulness of the method. The numerical results demonstrate that our method is more effective.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2010年第1期103-113,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(60572125)
黑龙江省自然科学基金(A2007-11)
黑龙江省骨干教师计划项目(1151G019)资助
关键词
八阶奇异边值问题
常微分方程
再生核空间
Singular boundary-value problems of eighth-order
Ordinary differential equation
Reproducing kernel space.
