Rational chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

Computers and Mathematics with Applications

Volumn 41, Issue 10-11, 2001, Pages 1293-1315

  Boyd, J P ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Matched asymptotic expansions; Quadrature; Rational Chebyshev functions; Spectral method; Unbounded domain

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; CHEBYSHEV APPROXIMATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INTERPOLATION; ITERATIVE METHODS;

CHEBYSHEV SPECTRAL METHODS; POLYNOMIAL-GROWTH SPECIAL BASIS FUNCTIONS;

POLYNOMIALS;

EID: 0035341740     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00098-0     Document Type: Article

References (15)

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6. The Method of Weighted Residuals and Variational Principles
7. Weakly nonlocal solitons for capillary-gravity waves: Fifth-degree Korteweg-deVries equation
8. Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function
9. The asymptotic Chebyshev coefficients for functions with logarithmic endpoint singularities