Year: 1992
Author: Li-Qing Zhang
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1992-JCM-9347
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 2 : pp. 147–154
Published online: 1992-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8