A novel numerical method for a class of problems with the transition layer and Burgers’ equation
DOI10.1080/00207160.2011.560265zbMath1242.65146OpenAlexW2019608069MaRDI QIDQ2885516
Liangliang Du, Shuoyu Zheng, Xiong-Hua Wu
Publication date: 23 May 2012
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2011.560265
singular perturbationconservation lawsnumerical examplesBurgers equationSinc methodtransition layerdomain decomposition methodmultiple scales methodbarycentric Sinc interpolationnovel methodquasi-linear singular two-point boundary value problems
KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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