doi:10.1002/9781119301066.ch19analytical solutionsDirichlet BCshigher order derivativesKuramoto‐Sivashinsky (KS) equationLagrangian variableNeumann BCsnumerical methodsspline collocation method of linestraveling wave solutionsSchiesser, William EJohn Wiley & Sons, Inc....
G. G. Doronin and N. A. Larkin. Kuramoto sivashinsky model for a dusty medium. Math. Meth. Appl. Sci, 26 :179-192, 2003.Doronin, G.G. and Larkin, N.A., 2003, Kuramoto-Sivashinsky model for a dusty medium. Mathematical Methods in the Applied Sciences, 26(3), 179-192....
Rebelo PJ (2012) An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation. Int J Comput Math 89:881–889 MATH MathSciNetRebelo PJ (2011) An approximate solution to an initial boundary value problem to the one-dimensional Kuramoto–Sivashinsky equation. Int J ...
In this article, we investigate the nonlinear model describing the various physical and chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the natural decomposition method, a novel technique, mixed with the Caputo–Fabrizio (CF) and Atangana–Baleanu deriavatives in Caputo manner...