Computations of fractional differentiation by lagrange interpolation polynomial and Chebyshev polynomial

Information Technology Journal

Volumn 11, Issue 4, 2012, Pages 557-559

  Zhang, Xiangmei ^a   Guo, Xianzhou ^a   Xu, Anping ^a  

^a HEBEI UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Chebyshev polynomial; Fractional Calculus; Fractional Differential Equation; Lagrange interpolation polynomial

Indexed keywords

ANALYTIC SOLUTION; CHEBYSHEV POLYNOMIALS; ENGINEERING APPLICATIONS; EXACT ANALYTIC SOLUTIONS; FRACTIONAL CALCULUS; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL DIFFERENTIATION; FUNCTION VALUES; GRID POINTS; LAGRANGE INTERPOLATIONS; NUMERICAL TECHNIQUES;

CALCULATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); INTERPOLATION; LAGRANGE MULTIPLIERS;

POLYNOMIALS;

EID: 84861498250     PISSN: 18125638     EISSN: 18125646     Source Type: Journal    
DOI: 10.3923/itj.2012.557.559     Document Type: Article

References (3)

1. Beirut, J. P. and L. N. Trefethen, 2004. Barycentric lagrange interpolation. SIAM Rev., 46:501-517.
2. Clenshaw, C, 1957. The numerical solution of linear differential equations in Chebyshev series. Proc. Camb. Philos. Soc, 53:134-149.
3. Khasawneh, F. A., B. P. Mann and E. A. Butcher, 2011. A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. Common Nonlinear Sci. Number Simulat, 10.1016/j.cnsns.2011.03. 025.