TY - JOUR
T1 - Spline Collocation Approximation to Periodic Solutions of Ordinary Differential Equations
AU - Zhang , Li-Qing
JO - Journal of Computational Mathematics
VL - 2
SP - 147
EP - 154
PY - 1992
DA - 1992/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9347.html
KW - 
AB - <p style="text-align: justify;">A spline collocation method is proposed to approximate the periodic solution of nonlinear ordinary differential equations. It is proved that the cubic periodic spline collocation solution has the same error bound $O(h^4)$ and superconvergence of the derivative at collocation points as that of the interpolating spline function. Finally a numerical example is given to demonstrate the effectiveness of our algorithm.</p>