An application method for the solution of second order non linear ordinary differential equations by chebyshev polynomials

Asian Journal of Applied Sciences

Volumn 4, Issue 3, 2011, Pages 255-262

  Taiwo, O A ^a   Abubakar, A ^b  

^a UNIVERSITY OF ILORIN   (Nigeria)

^b IBRAHIM BADAMASI BABANGIDA UNIVERSITY   (Nigeria)

Author keywords

Chebyshev polynomial; Computational cost; Linearization; Standard and perturbed collocation methods

Indexed keywords

EID: 79958267826     PISSN: 19963343     EISSN: None     Source Type: Journal    
DOI: 10.3923/ajaps.2011.255.262     Document Type: Article

References (4)

1. Chen, P.Y.P., 1981. Solutions of boundary value problems by the Lanzcos Chebyshev reduction method. Int. J. Numer. Meth. Eng., 17: 291-299.
2. Lanczos, C., 1938. Trigonometric interpolation of empirical and analytic functions. J. Math. Phys., 17: 123-199.
3. Taiwo, O.A., 1986. A computational method for ordinary differential equations and error estimation. M. Sc. Thesis, University of Ilorin, Ilorin, Nigeria.
4. Taiwo, O.A., 1991. Collocation methods for singularly perturbed ordinary differential equation. Ph.D. Thesis, University of Ilorin, Ilorin, Nigeria.