An explicit spectral collocation method for the linearized Korteweg-de Vries equation on unbounded domain
DOI10.1016/j.apnum.2017.11.008zbMath1380.65218OpenAlexW2773076853MaRDI QIDQ1690910
Boying Wu, Jinwei Fang, Wen-Jie Liu
Publication date: 12 January 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2017.11.008
stabilitycollocation methodnumerical testsunbounded domaintransparent boundary conditionsCrank-Nicolson methodsemi-discrete schemeinitial boundary problemlinearized Korteweg-de Vries equationnon-polynomial basis functions
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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