A multi-domain Galerkin method with numerical integration for the Burgers equation
DOI10.1080/00207160.2023.2171265zbMath1524.65688MaRDI QIDQ6106723
Publication date: 3 July 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Burgers equationthe Cauchy problemthe whole linecomposite generalized Laguerre-Legendre interpolation approximationsmulti-domain Galerkin method with numerical integration
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by other special function classes (41A30)
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