A numerical method based on the Chebyshev cardinal functions for variable‐order fractional version of the fourth‐order 2D Kuramoto‐Sivashinsky equation

DOI10.1002/mma.6881zbMath1486.65198OpenAlexW3087601779MaRDI QIDQ5003926

F. M. Maalek Ghaini, M. Hosseininia, Zakieh Avazzadeh, Mohammad Reza Hooshmandasl, Mohammad Heydari

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6881

zbMATH Keywords

Chebyshev cardinal functions (CCFs)variable-order (VO) fractional derivative 2D Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

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