Aspects Concerning Numerical Methods for Approximate Solution of BVP

The purpose of this work is to determinate the approximate solutions of boundary value problems with conditions inside the interval (0,1) using collocation method with global B-splines functions of degree k(order k+1), orthogonal polynomials Chebyshev and combined methods with B-splines functions or C.C method and Runge-Kutta methods. We do a comparative study of these numerical methods, making their implementation of algorithms written in MATLAB 2011b, Maple 2014 and we was also concerned with the approximations errors and determine their implementations costs (run time and internal memory used).