Benchmarking the propagator method for nonlinear systems: a Burgers-Korteweg-deVries equation

DOI10.1016/0021-9991(90)90117-JzbMath0702.65091OpenAlexW2075553692MaRDI QIDQ915414

Dan G. Cacuci, Ohannes A. Karakashian

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90117-j

zbMATH Keywords

finite difference schemeBurgers equationKorteweg-de Vries equationspectral methodimplicit Runge-Kutta methodstruncated Fourier seriespropagator methodinverse scattering transforms

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Integral representations of solutions to PDEs (35C15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (6)

Nonlinear Green's functions for wave equation with quadratic and hyperbolic potentials ⋮ Numerical solution of the differential equation describing the behavior of the zeroth-order boundary function ⋮ Applying the dual operator formalism to derive the zeroth-order boundary function of the plasma-sheath equation ⋮ An improved coarse-mesh nodal integral method for partial differential equations ⋮ Application of the dual operator method to an equation describing the behavior of a boundary function ⋮ A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods

Cites Work

• Unnamed Item
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Propagators for non-linear systems
• Convergence of Galerkin Approximations for the Korteweg-de Vries Equation
• On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation
• Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
• Implicit Runge-Kutta Processes

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