Backward difference formulae for Kuramoto–Sivashinsky type equations

We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit–explicit backward difference formula (BDF) methods, establish stability and derive optimal order error estimates. We also study discretization in space by...

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Bibliographic Details
Published in:Calcolo 2017-09, Vol.54 (3), p.685-709
Main Authors: Akrivis, Georgios, Smyrlis, Yiorgos-Sokratis
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
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Summary:We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit–explicit backward difference formula (BDF) methods, establish stability and derive optimal order error estimates. We also study discretization in space by spectral methods.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-016-0205-0