A Petrov–Galerkin spectral method for the linearized time fractional KdV equation

DOI10.1080/00207160.2017.1410544zbMath1499.65557OpenAlexW2768802025MaRDI QIDQ5026512

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Publication date: 8 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1410544

zbMATH Keywords

stabilityconvergencefully discrete schemePetrov-Galerkin spectral methodtime fractional KdV equation

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (4)

Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions ⋮ Numerical method for generalized time fractional KdV‐type equation ⋮ Petrov-Galerkin approximation of time-fractional coupled Korteweg-de Vries equation for propagation of long wave in shallow water ⋮ Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution

Uses Software

• FODE

Cites Work

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