Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation

DOI10.1186/s13662-020-03007-yzbMath1486.65199OpenAlexW3092305526MaRDI QIDQ2125805

Tahir Nazir, Muhammad Kashif Iqbal, Nouman Ali, Muhammad Abbas

Publication date: 14 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03007-y

zbMATH Keywords

Kuramoto-Sivashinsky equationCrank-Nicolson schemespline approximationsvon Neumann stability analysisquintic polynomial B-spline functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spline approximation (41A15)

Related Items (3)

Study of \(4^{th}\) order Kuramoto-Sivashinsky equation by septic Hermite collocation method ⋮ A numerical scheme for the wave simulations of the Kuramoto-Sivashinsky model via quartic-trigonometric tension B-spline ⋮ Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media

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