The Crane equation \(u u_{x x} = - 2\): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities

DOI10.1016/j.amc.2016.12.020zbMath1411.76112OpenAlexW2568570001MaRDI QIDQ1735266

Xianqiang Yang

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.12.020

zbMATH Keywords

Chebyshev polynomialspseudospectral

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Spectral methods applied to problems in fluid mechanics (76M22) Trigonometric approximation (42A10) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical approximation and evaluation of special functions (33F05)

Related Items (2)

Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides ⋮ Exact solutions to a nonlinear partial differential equation: the Product-of-Curvatures Poisson \((u_{x x} u_{y y} = 1)\)

Uses Software

• Sinc-Pack

Cites Work

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