Metode Iterasi Tiga Langkah dengan Konvergensi Orde Enam untuk Menyelesaikan Persamaan Nonlinear

Authors

  • Muhammad Nizam Muhaijir
  • Aljarizi Aljarizi

DOI:

https://doi.org/10.24014/jsms.v4i1.5251

Abstract

Penelitian ini mengembangkan metode satu langkah Abbasbandy menjadi metode tiga langkah bebas turunan
kedua. Turunan kedua pada metode diaproksimasi menggunakan deret Taylor dan turunan pertama
diaproksimasi menggunakan interpolasi Lagrange dan interpolasi Hermite. Secara analitik, metode baru ini
mempunyai konvergensi orde enam dengan melibatkan empat evaluasi fungsi sehingga indeks efisiensi
64 1.5651
1
 . Komputasi numerik yang dilakukan untuk beberapa fungsi menunjukkan metode yang diperoleh
lebih unggul dibandingkan metode lain.

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Issue

Vol. 4 No. 1 (2018): JSMS Januari 2018

Section

Articles

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