Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity

DOI10.1016/S0898-1221(03)90083-6zbMath1055.65096OpenAlexW2080891315MaRDI QIDQ1827211

Ben-yu Guo

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90083-6

zbMATH Keywords

algorithmnumerical resultsJacobi polynomialsJacobi spectral methodRough asymptotic behaviors

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line, Jacobi spectral Galerkin method for the integrated forms of second-order differential equations, Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials, Some progress in spectral methods, Jacobi spectral Galerkin method for elliptic Neumann problems

Cites Work

• Laguerre spectral approximation of elliptic problems in exterior domains
• Laguerre polynomials for infinite-domain spectral elements
• Spectral approximation for elliptic boundary value problems
• Some spectral approximations for differential equations in unbounded domains
• Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
• Spectral Methods and Their Applications
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