Chebyshev Wavelet Based Approximation Method to Some Non-linear Differential Equations Arising in Engineering

The main aim of this paper is to discuss about, Chebyshev wavelets based approximation solution for linear and non-linear differential equations arising in science and engineering. The basic idea of this method is to obtain the approximate solution of a differential equation in a series of Cheybyshev wavelets. For this purpose, operational matrix for Cheybyshev wavelets is derived. By applying this technique in the underlying problem, the differential equation is converted into a system of linear or non-linear algebraic system of equations. Some examples are included to demonstrate the validity and applicability of the method. Moreover, to our best of our knowledge, Cheybyshev wavelets method is found to be simple, efficient, accurate and computationally attractive for solving linear and non-linear problems. Mathematics Subject Classification: 65M70, 65N35, 35C10, 42C10 994 B. Sripathy, P. Vijayaraju and G. Hariharan