full
search.png

Search

close.png

Cancel

arrow
Volume 9, Issue 4
A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

Zhongqing Wang & Jun Mu

DOI: 10.4208/nmtma.2016.m1429

Numer. Math. Theor. Meth. Appl., 9 (2016), pp. 619-639.

Published online: 2016-09

Preview Purchase PDF 1175 27221

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{NMTMA-9-619, author = {}, title = {A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations }, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2016}, volume = {9}, number = {4}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2016.m1429}, url = {http://global-sci.org/intro/article_detail/nmtma/12392.html} }
TY - JOUR T1 - A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 619 EP - 639 PY - 2016 DA - 2016/09 SN - 9 DO - http://doi.org/10.4208/nmtma.2016.m1429 UR - https://global-sci.org/intro/article_detail/nmtma/12392.html KW - AB -

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.

Zhongqing Wang & Jun Mu. (2020). A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations . Numerical Mathematics: Theory, Methods and Applications. 9 (4). 619-639. doi:10.4208/nmtma.2016.m1429
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard