Numerical solution of Korteweg-de Vries-Burgers equation by the compact-type CIP method

DOI10.1186/s13662-015-0682-5zbMath1422.35144OpenAlexW2173980860WikidataQ59436323 ScholiaQ59436323MaRDI QIDQ1991047

Yanyan Li

Publication date: 29 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0682-5

zbMATH Keywords

Korteweg-de Vries-Burgers equationhigh-order compact schemesCIP schemes

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Stability analysis of a fractional-order epidemics model with multiple equilibriums ⋮ Observer‐based H_∞ control of a stochastic Korteweg–de Vries–Burgers equation ⋮ Computational analysis of the third order dispersive fractional <scp>PDE</scp> under exponential‐decay and <scp>Mittag‐Leffler</scp> type kernels ⋮ Numerical solution of advection-diffusion type equation by modified error correction scheme ⋮ Unnamed Item ⋮ Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

Uses Software

• FDL3DI

Cites Work

• Modified approximation for the KdV-Burgers equation
• The cubic-interpolated pseudo particle (CIP) method: Application to nonlinear and multi-dimensional hyperbolic equations
• Exact solutions of KdV-Burgers' equation by Exp-function method
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• Compact finite difference schemes with spectral-like resolution
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• Nonlinear waves in an inviscid fluid contained in a prestressed viscoelastic thin tube
• Exact solitary wave solutions for a generalized KdV-Burgers equation
• An application of the decomposition method for the KdVB equation
• Exact solutions for a compound KdV-Burgers equation
• Homotopy perturbation method for fractional KdV-Burgers equation
• High-order compact schemes for nonlinear dispersive waves
• A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation

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