In this paper a Moment method based on the second, third and fourth kind Chebyshev polynomials is proposed to approximate the solution of a linear twopoint boundary value problem of the second order. The proposed method is flexible, easy to program and efficient. Two numerical examples are given for conciliating the results of this method, all the computation results are obtained using Matlab.
Keywords:- Moment method, Chebyshev polynomial, linear two-points boundary value problem (LTPBVP), Second order.