An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers’s equation

DOI10.1093/IMANUM/DRX064zbMath1483.65147arXiv1612.04127OpenAlexW2563666993MaRDI QIDQ5113338

Jens Rottmann-Matthes

Publication date: 4 June 2020

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04127

zbMATH Keywords

similarity solutionsfreezing methodscaling symmetrycentral schemeIMEX-Runge-Kuttahyperbolic-parabolic partial differential algebraic equationsBurgers's equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Self-similar solutions to PDEs (35C06) Quasilinear parabolic equations (35K59)

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