Year: 2016
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 619–639
Abstract
We introduce a multiple interval Chebyshev-Gauss-Lobatto spectral collocation method for the initial value problems of the nonlinear ordinary differential equations (ODES). This method is easy to implement and possesses the high order accuracy. In addition, it is very stable and suitable for long time calculations. We also obtain the $hp$-version bound on the numerical error of the multiple interval collocation method under $H^1$-norm. Numerical experiments confirm the theoretical expectations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2016.m1429
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 619–639
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
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