@Article{JCM-10-147, author = {Zhang , Li-Qing}, title = {Spline Collocation Approximation to Periodic Solutions of Ordinary Differential Equations}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {2}, pages = {147--154}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9347.html} }