Sobolev orthogonal Legendre rational spectral methods for exterior problems
DOI10.1080/00207160.2021.1913127zbMath1499.65701OpenAlexW3141535222MaRDI QIDQ5063457
Shan Li, Jinju Wu, Zhong-qing Wang
Publication date: 21 March 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.1913127
numerical resultsspectral methodsexterior problemsmodified Legendre rational functionsSobolev orthogonal functions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation by rational functions (41A20) Second-order parabolic equations (35K10)
Cites Work
- Unnamed Item
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- Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions
- Laguerre spectral approximation of elliptic problems in exterior domains
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions
- Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
- A fully diagonalized spectral method using generalized Laguerre functions on the half line
- Orthogonal rational functions on a semi-infinite interval
- Spectral methods using rational basis functions on an infinite interval
- A combination of spectral and finite elements for an exterior problem in the plane
- Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients
- Spectral methods using generalized Laguerre functions for second and fourth order problems
- Approximate solution of fractional vibration equation using Jacobi polynomials
- Spherical harmonic-generalized Laguerre spectral method for exterior problems
- On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
- Spectral Methods
- Sobolev orthogonal Legendre rational spectral methods for problems on the half line
- Legendre spectral method for the fractional Bratu problem
- A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
- Jacobi rational approximation and spectral method for differential equations of degenerate type
- Spectral Methods
- Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
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