Wavelet Approach to Estimate The solution for Two Points Boundary Value Problems

Abstract

In this paper, a new algorithm based on using Chebyshev wavelet
operational matrix of integration instead of operational matrix of derivative
to find the approximate solution of two points boundary value problem.
Wavelet first Chebyshev with aid of collocation method employed to
transform the differential equation with its boundary condition to a system
of linear algebraic equations. A very high level of accuracy explicitly
reflected by the proposed examples.