Browsing by Author "Deswita, L."

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    CARA LAIN MENENTUKAN TAKSIRAN ERROR UNTUK METODE INTEGRAL NUMERIK
    (2014-03-25) Wati, D. S.; Imran, M.; Deswita, L.
    This paper discusses a technique to estimate an error in numerical integration methods, which is a review and an expansion, as well as partial correction from the article Peter R. Mercer [The College Mathematics Journal, 36 (2005): 27-34]. After obtaining the error estimates of the numerical integration methods for a single interval, composite error estimate forms are developed, which are only dependent on the first derivatives of the function. By comparing the error estimates obtained with error estimates obtained by polynomial interpolation error, it is visible that the error estimates obtained for the trapezoidal method and the midpoint method are sharper. This finding does not apply to the Simpson method.
  • No Thumbnail Available
    Item
    METODE ORDE-TINGGI UNTUK MENENTUKAN AKAR DARI PERSAMAAN NONLINEAR
    (2013-05-28) Edwar, I.P.; Imran, M.; Deswita, L.
    We discuss a derivation of a high-order iterative method based on Taylor expansion of a nonlinear function. The method is a special case of the method derived by Germani, A., et al. in Journal of Optimization Theory and Applications. 131 (2006). 347-364. We show analytically with a different technique from those of Germani that the method is of four order. The numerical simulation using four nonlinear functions shows that the performance of the method is better than those of Newton method, Traub method, Halley method, and Chebyshev method.