On the approximation of solutions of the generalized Korteweg-de Vries- Burgers equation

DOI10.1016/0378-4754(94)00027-1zbMath0811.65115OpenAlexW2088815573MaRDI QIDQ1344308

Ohannes A. Karakashian, William R. McKinney

Publication date: 7 May 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00027-1

zbMATH Keywords

convergenceperiodic solutionsNewton's methodimplicit Runge-Kutta methodsGalerkin-finite elementKorteweg-de Vries- Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Boundary control of the generalized Korteweg-de Vries-Burgers equation ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation ⋮ The effect of dissipation on solutions of the generalized Korteweg-de Vries equation

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