CD Tesis

Metode Iterasi Bebas Turunan Berorde Delapan Optimal Untuk Menyelesaikan Persamaan Nonlinear

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This thesis discusses a derivative free three-step iterative method to solve a nonlinear equation. The proposed method is derived by estimating the first de-rivative of the method proposed by Sharma and Arora [Appl. Math. Comput., 273 (2016), 924-933] using a divided difference by one parameter. Analytically it is shows that the method has an eighth order convergence and requires four function evaluations for each iteration. The proposed method is optimal based on the Kung and Traub conjecture and has an efficiency index 1.682. Numerical computations show that the new method is comparable to the other discussed eight-order methods.

Keywords: Nonlinear equation, iterative method, efficiency index, derivative-free method, order of convergence

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15. 219 (0014)

Penerbit

Pekanbaru : Universitas Riau – Pascasarjana – Tesis Matematika., 2019

Deskripsi Fisik

xiii, 54 hlm.; ill.; 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15. 219 (0014)

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

PASCASARJANA (MAGISTER) MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

FATAH

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