A new collocation scheme using non-polynomial basis functions
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Publication:520210
DOI10.1007/s10915-016-0269-7zbMath1359.65138OpenAlexW2513029664MaRDI QIDQ520210
Li-Lian Wang, Chao Zhang, Wen-Jie Liu
Publication date: 3 April 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0269-7
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (8)
Comparisons of best approximations with Chebyshev expansions for functions with logarithmic endpoint singularities ⋮ An explicit spectral collocation method for the linearized Korteweg-de Vries equation on unbounded domain ⋮ New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications ⋮ An explicit spectral collocation method using nonpolynomial basis functions for the time‐dependent Schrödinger equation ⋮ The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains ⋮ A new spectral method using nonstandard singular basis functions for time-fractional differential equations ⋮ A generalized Laguerre spectral Petrov-Galerkin method for the time-fractional subdiffusion equation on the semi-infinite domain
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