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Volume 6, Issue 2
Asymptotic Expansions of the Cubic Spline Collocation Solution for Second-Order Ordinary Differential Equations

You-Qian Huang & Guo-Qiang Han

J. Comp. Math., 6 (1988), pp. 156-163.

Published online: 1988-06

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  • Abstract

In this paper, we consider the following problem $$\begin{cases}u''(x)=f(x,u(x),u'(x)), a\leq x\leq b,\\u(a)=u(b)=0,\end{cases}$$ and obtain the theorem.

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@Article{JCM-6-156, author = {Huang , You-Qian and Han , Guo-Qiang}, title = {Asymptotic Expansions of the Cubic Spline Collocation Solution for Second-Order Ordinary Differential Equations}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {2}, pages = {156--163}, abstract = {

In this paper, we consider the following problem $$\begin{cases}u''(x)=f(x,u(x),u'(x)), a\leq x\leq b,\\u(a)=u(b)=0,\end{cases}$$ and obtain the theorem.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9507.html} }
TY - JOUR T1 - Asymptotic Expansions of the Cubic Spline Collocation Solution for Second-Order Ordinary Differential Equations AU - Huang , You-Qian AU - Han , Guo-Qiang JO - Journal of Computational Mathematics VL - 2 SP - 156 EP - 163 PY - 1988 DA - 1988/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9507.html KW - AB -

In this paper, we consider the following problem $$\begin{cases}u''(x)=f(x,u(x),u'(x)), a\leq x\leq b,\\u(a)=u(b)=0,\end{cases}$$ and obtain the theorem.

Huang , You-Qian and Han , Guo-Qiang. (1988). Asymptotic Expansions of the Cubic Spline Collocation Solution for Second-Order Ordinary Differential Equations. Journal of Computational Mathematics. 6 (2). 156-163. doi:
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