CD Tesis

Metode Iterasi Tiga Langkah Untuk Menyelesaikan Persamaan Nonlinear Berdasarkan Metode Koefisien Tak Tentu

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This thesis discusses two three-step iterative methods which are derived by combining the iterative methods that contain the function and first derivative with Newton’s method. The process of the combination uses the principle of an undetermined coefficient method by allowing only one additional function evaluation that may occur in the process. By combining the methods proposed by Khattri and Abbasbandy [Math. Vesnik, 63 (2011), 67-72] and methods pro- posed by Jarratt [BIT, 9 (1969), 119–124] with Newton’s method, then through the convergence analysis it was shown that the proposed methods have a sixth order convergence and requires two function and two first derivative evaluations in each iteration. Hence their efficiency indexes are 1.56508. Some examples of nonlinear equations are solved using the proposed methods. Then the ob- tained solutions are compared with those of other mention methods to see the effectiveness of proposed methods.
Keywords: Efficiency index, three-step iterative method, order of convergence

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15. 219 (0002)

Penerbit

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

Deskripsi Fisik

xi, 58 hlm.; ill.; 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15. 219 (0002)

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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