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八阶奇异边值问题精确解的表达形式 被引量：2

Representation of the Exact Solution for Singular Boundary-value Problems of Eighth-order
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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.
作者 么焕民 林迎珍
机构地区 哈尔滨工业大学数学系 哈尔滨师范大学数学科学学院
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.
分类号 O241.81 [理学—计算数学]
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参考文献20

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同被引文献36

  • 1LIN YingZhen,CUI MingGen.A new method to solve the damped nonlinear Klein-Gordon equation[J].Science China Mathematics,2008,51(2):304-313. 被引量：3
  • 2刘成周,张昌平.二维静态时空中Dirac场的重正化能动张量和Casimir效应[J].物理学报,2007,56(4):1928-1937. 被引量：2
  • 3Wendland H. Scattered Data Approximation. Cambridge: Cambridge University Press, 2005.
  • 4Buhmann M D. Radial Basis Functions: Theory and Implementations. Cambridge: Cambridge University Press, 2003.
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  • 7Narcowich F J, Sivakumar N, Ward J D. Stability results for scattered data interpolation on Euclidean spheres. Adv Comput Math, 1998, 8(3): 137-168.
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  • 9Narcowich F J, Ward J D. Norms estimates for the inverses of a general class of scattered data radial function interpolation matrices. J Approx Theory, 1992, 69(1): 84- 109.
  • 10Jetter K, St5ckler J, Ward J D. Error estimates for scattered data interpolation on spheres. Math Comp, 1999, 68(226): 733- 747.

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数学物理学报（A辑）
2010年 第1期

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