Backward difference formulae for Kuramoto–Sivashinsky type equations |
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| Authors: | Georgios Akrivis Yiorgos-Sokratis Smyrlis |
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| Affiliation: | 1.Department of Computer Science and Engineering,University of Ioannina,Ioannina,Greece;2.Department of Mathematics and Statistics,University of Cyprus,Nicosia,Cyprus |
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| Abstract: | 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. |
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