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Original Articles

Cubic Hermite collocation solution of Kuramoto–Sivashinsky equation

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Pages 223-235 | Received 08 Jan 2014, Accepted 08 Dec 2014, Published online: 13 Jan 2015
 

Abstract

The solution and analysis of Kuramoto–Sivashinsky equation by cubic Hermite collocation method is performed and a bound for maximum norm of the semi-discrete solution is derived by using Lyapunov functional. Error estimates are also obtained for semi-discrete solutions and verified by numerical experiments.

2009 AMS Subject Classifications:

Acknowledgements

Mr Ishfaq Ahmad Ganaie is thankful to NBHM, Mumbai, for providing financial assistance.

Disclosure statement

No potential conflict of interest was reported by the authors.

Funding

This work is supported by National Board of Higher Mathematics, Mumbai, INDIA in the form of research project no. 2/48(14)/2009/R&D-II/2806.

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