Skripsi ini membahas tentang famili

Skripsi ini membahas tentang famili metode iterasi orde konvergensi enam bebas turunan dengan empat parameter untuk menyelesaikan persamaan nonlinear. Pada metode ini, evaluasi fungsi dilakukan sebanyak empat kali untuk setiap iterasinya. Secara analitik dengan menggunakan ekspansi Taylor dan deret geometri ditunjukkan bahwa famili metode iterasi ini memiliki orde konvergensi enam. Meskipun metode ini bebas turunan, tetapi simulasi numerik menunjukkan bahwa metode tersebut lebih baik bila dibandingkan dengan metode Newton dan metode orde enam lainnya.

Hasil (Inggris) 1:

This thesis discusses the convergence of iteration methods of family order of six non derivative with four parameters of nonlinear equations to solve. In this method, the evaluation function is performed four times for each iterasinya. In the Taylor expansion using analytic and geometric sequence indicated that this iteration method family has order convergence of six. Although this method non derivative, but numerical simulation show that the method is better when compared to the Newton's method and the method of the order of the other six.

Hasil (Inggris) 2:

This thesis discusses the relative order of convergence of the iteration method derived free six with four parameters to solve nonlinear equations. In this method, the evaluation function is done four times for each iteration. Analytically by using Taylor expansion and geometric series shown that family iteration method is of the order of convergence of six. Although these methods are non-derivative, but the numerical simulations show that the method is better than the Newton method and other methods of order six.