A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

DOI10.1016/j.apnum.2020.10.024zbMath1457.76114OpenAlexW3097521549MaRDI QIDQ2227734

Zakia Hammouch, Khaled M. Saad, Mohamed M. Khader, Dumitru Baleanu

Publication date: 15 February 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.10.024

zbMATH Keywords

finite difference methodshallow water equationsChebyshev polynomial approximationfractional Caputo-Fabrizio derivative

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Fractional derivatives and integrals (26A33) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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