The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equations

Computers and Mathematics with Applications

Volumn 36, Issue 2, 1998, Pages 65-70

  Khabibrakhmanov, I K ^a,b   Summers, D ^a  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Generalized Laguerre polynomials; Orthogonal functions; Spectral methods

Indexed keywords

BOUNDARY VALUE PROBLEMS; CALCULATIONS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING;

GENERALIZED LAGUERRE POLYNOMIALS; NONLINEAR DIFFERENTIAL EQUATIONS; SPECTRAL METHODS;

POLYNOMIALS;

EID: 0032117953     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00117-5     Document Type: Article

References (9)

1. C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, (1988).
2. D. Funaro, Polynomial Approximation of Differential Equations, Springer-Verlag, New York, (1992).
3. S.I. Braginskii, Transport processes in a plasma, In Reviews of Plasma Physics, (Edited by M.A. Leontovich), Volume 1, pp. 205-311, Consultants Bureau, New York, (1965).
4. S.P. Hirshman, Transport of a multiple-ion species plasma in the Pfirsch-Schlüter regime, Phys. Fluids 20, 589-598, (1977).
5. J. Gillis and M. Shimshoni, Triple product integrals of Laguerre functions, Math. Comp. 16, 50-62, (1962).
6. S. Goldstein, Editor, Modern Developments in Fluid Dynamics, Volume 1, Dover Publications, New York, (1965).
7. L.G. Loitsyanskii, Mechanics of Liquids and Gases, Pergamon Press, Oxford, (1966).
8. I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York, (1980).
9. R. Askey and G. Gasper, Convolution structures for Laguerre polynomials, J. d'Anal. Math. 31, 48-68, (1977).