Adomian decomposition method with orthogonal polynomials: Legendre polynomials

Mathematical and Computer Modelling

Volumn 49, Issue 5-6, 2009, Pages 1268-1273

  Liu, Yucheng ^a  

^a University of Louisville   (United States)

Author keywords

Adomian decomposition method; Chebyshev polynomials; Legendre polynomials; Ordinary differential equation; Orthogonal polynomials

Indexed keywords

CHEBYSHEV APPROXIMATION; COMPUTATIONAL MECHANICS; FOURIER ANALYSIS; OPERATIONS RESEARCH; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS;

ADOMIAN DECOMPOSITION METHOD; CHEBYSHEV POLYNOMIALS; LEGENDRE POLYNOMIALS; ORDINARY DIFFERENTIAL EQUATION; ORTHOGONAL POLYNOMIALS;

POLYNOMIAL APPROXIMATION;

EID: 59149087485     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.06.020     Document Type: Article

References (10)

1. Hosseini M.M. Adomian decomposition method with Chebyshev polynomials. Applied Mathematical and Computation 175 (2006) 1685-1693
2. Attar R.E. Special Functions and Orthogonal Polynomials (2006), Lulu Press, Morrisville NC
3. Seng V., Abbaoui K., and Cherruault Y. Adomian's polynomials for nonlinear operators. Mathematical and Computer Modeling 24 (1996) 59-65
4. Wazwaz A.M. A comparison between Adomian decomposition method and Taylor series method in the series solutions. Applied Mathematics and Computation 97 (1998) 37-44
5. Wazwaz A.M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Applied Mathematics and Computation 111 (2000) 53-69
6. Wazwaz A.M. A reliable modification of Adomian decomposition method. Applied Mathematics and Computation 102 (1999) 77-86
7. Wazwaz A.M., and El-Sayed S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators. Applied Mathematics and Computation 122 (2001) 393-405
8. Scanlon P.J. An alternative form for the Legendre polynomial expansion coefficients. Journal of Computational Physics 69 2 (1987) 482-486
9. Mason J.C., and Hanscomb D.C. Chebyshev Polynomials (2003), Chapman & Hall/CRC
10. Light W.A. Some optimality conditions for Chebyshev expansions. Journal of Approximation Theory 27 (1979) 113-126