Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation
type: Item
instance of: scholarly article
title: Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation
author: Xinyi Guan
author: Qian Zhang
author: Shaoqiang Tang
published in: Computational Mechanics
publication date: 2022-03-17T00:00:00Z
Mathematics Subject Classification ID: 74-XX
zbMATH DE Number: 7492665
zbMATH Keywords: fractional KdV-Burgers equation
zbMATH Keywords: shock wave
zbMATH Keywords: boundary treatment
zbMATH Keywords: machine learning
zbMATH Keywords: ridge regression
Wikidata QID: Q113326612
MaRDI profile type: Publication
full work available at URL: s00466-021-02089-z
OpenAlex ID: W3200986292
cites work: On nonlinear conservation laws with a nonlocal diffusion term
cites work: Travelling waves for a non-local Korteweg-de Vries-Burgers equation
cites work: Towards perfectly matched layers for time-dependent space fractional PDEs
cites work: Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: High-order local non-reflecting boundary conditions: a review
cites work: Radiation Boundary Conditions for Dispersive Waves
cites work: A pseudo-spectral method for a non-local KdV-Burgers equation posed on \(\mathbb{R}\)
cites work: Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains
cites work: High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
cites work: Traction boundary conditions for molecular static simulations
cites work: A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations
cites work: Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model
cites work: Time history kernel functions for square lattice
cites work: Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
cites work: Accurate boundary treatment for Riesz space fractional diffusion equations
cites work: Differential operator multiplication method for fractional differential equations
cites work: Transmitting boundary conditions for 1D peridynamics
cites work: Matching boundary conditions for lattice dynamics
cites work: Q4943599
cites work: High-order central difference scheme for Caputo fractional derivative
cites work: Enriched reproducing kernel particle method for fractional advection-diffusion equation
cites work: Exponentially accurate spectral and spectral element methods for fractional ODEs
cites work: Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain
DOI: 10.1007/S00466-021-02089-Z
description: scientific article; zbMATH DE number 7492665