Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
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DOI：
10.1016/j.amc.2006.06.053
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发表时间：
2007-01
期刊：
影响因子：
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通讯作者：
Mohamed A. Ramadan;I. F. Lashien;W. Zahra
中科院分区：
文献类型：
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作者：
Mohamed A. Ramadan;I. F. Lashien;W. Zahra
本文提出了基于二次、三次多项式和非多项式样条函数的求二阶边值问题近似解的方法。利用这些样条函数，我们推导了一些用于计算二阶边值问题解的近似的一致性关系。本方法的计算量较小。讨论了这些方法的收敛性分析。通过两个数值算例说明了所提方法的实用性。
In this paper, quadratic and cubic polynomial and nonpolynomial spline functions based methods are presented to find approximate solutions to second order boundary value problems. Using these spline functions we drive a few consistency relations which to be used for computing approximations to the solution for second order boundary value problems. The present approaches have less computational cost. Convergence analysis of these methods is discussed. Two numerical examples are included to illustrate the practical usefulness of the proposed methods.