Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

DOI10.1007/s00466-021-02089-zOpenAlexW3200986292WikidataQ113326612 ScholiaQ113326612MaRDI QIDQ2115566

Xinyi Guan, Qian Zhang, Shao-Qiang Tang

Publication date: 17 March 2022

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-021-02089-z

zbMATH Keywords

shock waveridge regressionmachine learningboundary treatmentfractional KdV-Burgers equation

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• Unnamed Item
• Differential operator multiplication method for fractional differential equations
• Exponentially accurate spectral and spectral element methods for fractional ODEs
• Time history kernel functions for square lattice
• On nonlinear conservation laws with a nonlocal diffusion term
• A perfectly matched layer for the absorption of electromagnetic waves
• Enriched reproducing kernel particle method for fractional advection-diffusion equation
• Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model
• Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
• A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations
• Towards perfectly matched layers for time-dependent space fractional PDEs
• Accurate boundary treatment for Riesz space fractional diffusion equations
• Traction boundary conditions for molecular static simulations
• High-order central difference scheme for Caputo fractional derivative
• A pseudo-spectral method for a non-local KdV-Burgers equation posed on \(\mathbb{R}\)
• High-order local non-reflecting boundary conditions: a review
• Travelling waves for a non-local Korteweg-de Vries-Burgers equation
• Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
• Matching boundary conditions for lattice dynamics
• Radiation Boundary Conditions for Dispersive Waves
• Transmitting boundary conditions for 1D peridynamics
• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain
• High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
• Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains

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