Stability and convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation
DOI10.5802/SMAI-JCM.108zbMATH Open1543.35201MaRDI QIDQ6574917
Publication date: 19 July 2024
Published in: The SMAI journal of computational mathematics (Search for Journal in Brave)
rate of convergenceGalerkin methodfractional Laplacianfractional Korteweg-de Vries equation\(L^2\) initial data
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Rate of convergence, degree of approximation (41A25) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)
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