CHEBYSHEV WAVELET COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

Abstract

Wavelet analysis is relatively new developed mathematical tool for many problems. Wavelets permit the accurate representation of a variety of functions and operators. More over wavelets establish a connection with fast numerical algorithms. In this paper, Chebyshev wavelet collocation method
is developed for the numerical solution of differential equations. Numerical examples are presented to verify the efficiency and accuracy of the proposed algorithm.