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再生核空间W2^7[0,1]中求解六阶边值问题的新算法 被引量:1

NEW ALGORITHM FOR SOLVING BOUNDARY-VALUE PROBLEMS OF SIXTH-ORDER IN THE REPRODUCING KERNEL SPACE W2^7[0,1]
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摘要 本文研究了六阶边值问题的数值求解方法.利用再生核空间数值分析理论,获得了这类方程解的级数形式的精确表达式. A numerical method for solving boundary-value problems of sixth order is presented based on the theory of numerical analysis.By truncating the series,the representation of the exact solutions for such problems are obtained in the form of series.
出处 《数学杂志》 CSCD 北大核心 2010年第6期1035-1042,共8页 Journal of Mathematics
基金 黑龙江省自然科学基金项目(A2007-11) 黑龙江省教育厅骨干教师基金计划项目(1151G019)资助
关键词 六阶边值问题 常微分方程 再生核空间 sixth order boundary-value problem ordinary differential equation reproducing kernel space
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参考文献6

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