Comparação entre métodos de aproximação numérica utilizando o programa matlab

Abstract

This Scientific Initiation article covered with the aid of codes developed an interface of the Matlab program some comparisons between numerical approximation methods and found which one was more effective in certain situations. The polynomial interpolation concepts were presented, addressing the interpolation of Lagrange and Newton, and segmented interpolation, approaching cubic splines. Some applications were developed. First, they compared the methods Lagrange and Newton a practical example, the determination of the width of a river for the construction of a bridge. In another application, it analyzed the Newton polynomial behavior and Cubic Spline interpolation in the Runge function. When analyzing the results, it was concluded that between the Lagrange interpolation and Newton latter is more efficient since it is lighter in terms of computational effort, but it is not suitable for situations where it has many interpolation points ie, where the polynomial interpolation is very high degree. The cubic spline is efficient in these cases shows that it uses several low degree polynomial to form the interpolating curve.