@Article{JCM-10-2, 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/1992-JCM-9347}, url = {https://global-sci.com/article/85943/spline-collocation-approximation-to-periodic-solutions-of-ordinary-differential-equations} }