ON THE EFFICIENCY OF THE PERTURBED COLLOCATION TAU-METHOD FOR SOLVING FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS

M. O. Olayiwola (Nigeria), O. A. Taiwo (Nigeria) and A. W. Gbolagade (Nigeria)

Received November 21, 2007

References:

[1] G. M. Demetrois, Methods for Solution of Non-linear O. D. Es, 1968. [2] C. Lanczoc, Table of Chebyshev Polynomial, National Burean of Standards, Applied Mathematics Series, 1952. [3] M. O. Olayiwola, Perturbed collocation Tau-method for solving fourth-order non-linear differential equation, B.Sc. Thesis (Unpublished), 1998. [4] Anthony Ralston and Philip Rabinowitz, A First Course in Numerical Analysis, 2nd ed., McGraw-Hill Book Co., New York-Auckland-Bogotá, 1978. [5] O. A. Taiwo and P. Onumonyi, A collocation approximation of singularly perturbed second order ordinary differential equation computer / maths. 4(3) (1990), 44-49. [6] O. A. Taiwo, On the solution of singularly perturbed two-points boundary value problems by Tau-method, Nigerian J. Math. Appl. 4 (1991), 19-26. [7] Weiming Wang and Zhenqing Li, A mechanical algorithm for solving ordinary differential equation, Appl. Math. Comput. 172 (2006), 568-583.

Keywords and phrases: perturbation, Tau-method.