An integral equation method for the numerical solution of the Burgers equation

DOI10.1016/j.camwa.2018.04.002zbMath1418.65197OpenAlexW2801850763WikidataQ124318194 ScholiaQ124318194MaRDI QIDQ2001651

Nadaniela Egidi, Michela Quadrini, Pierluigi Maponi

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.002

zbMATH Keywords

Fourier transformGalerkin methodBurgers equationunbounded domainsNavier-Stokes equationGaussian function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) KdV equations (Korteweg-de Vries equations) (35Q53) Volterra integral equations (45D05)

Related Items (9)

Numeric solution of advection–diffusion equations by a discrete time random walk scheme ⋮ Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations ⋮ A multiple‐relaxation‐time lattice Boltzmann model for Burgers equation ⋮ Artificial boundary conditions for the Burgers equation on the plane ⋮ A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes ⋮ The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation ⋮ Poly-Sinc Collocation Method for Solving Coupled Burgers’ Equations with a Large Reynolds Number ⋮ Simulation of advection-diffusion-dispersion equations based on a composite time discretization scheme ⋮ A second-order energy stable and nonuniform time-stepping scheme for time fractional Burgers' equation

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