Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation

DOI10.2478/s11533-011-0055-6zbMath1250.65111arXiv1103.0209OpenAlexW1986658652MaRDI QIDQ432232

Ujjwal Koley

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0209

zbMATH Keywords

convergenceperiodic solutionerror estimatesemidiscretizationFourier-Galerkin spectral methodCrank-Nicolson methodKorteweg-de Vries-Kawahara equationleap-frog method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs ⋮ Numerical scheme for a model of shallow water waves in \((2 + 1)\)-dimensions ⋮ An efficient approximation to numerical solutions for the Kawahara equation via modified cubic B-spline differential quadrature method ⋮ Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods

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