MODIFIKASI METODE KING OPTIMAL DENGAN KONVERGENSI ORDE EMPAT BEBAS TURUNAN

Herera, Melissa

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dc.contributor.author	Herera, Melissa
dc.date.accessioned	2022-08-02T04:31:30Z
dc.date.available	2022-08-02T04:31:30Z
dc.date.issued	2022-03
dc.identifier.citation	Perpustakaan	en_US
dc.identifier.issn	Elfitra
dc.identifier.uri	https://repository.unri.ac.id/handle/123456789/10627
dc.description.abstract	This article discusses the modification of King’s method by using approximation of first derivative with interpolation to solve nonlinear equations. Analytically, by using Taylor expansion and geometric series, the proposed method is proven to have an fourth order of convergence. The proposed method is derivative free and based on Conjecture of Kung and Traub the new method attains optimality with efficiency index 1.587. Numerical computations of several examples with some other mentioned methods show that the proposed method in general has the smallest error in its aprroximation root of the nonlinear equations.	en_US
dc.description.provenance	Submitted by wahyu sari yeni (ayoe32@ymail.com) on 2022-08-02T04:31:30Z No. of bitstreams: 1 Melissa Herera_compressed.pdf: 194217 bytes, checksum: 7d66f884ea7b36b368f56992649db047 (MD5)	en
dc.description.provenance	Made available in DSpace on 2022-08-02T04:31:30Z (GMT). No. of bitstreams: 1 Melissa Herera_compressed.pdf: 194217 bytes, checksum: 7d66f884ea7b36b368f56992649db047 (MD5) Previous issue date: 2022-03	en
dc.description.sponsorship	Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Riau	en_US
dc.language.iso	en	en_US
dc.publisher	Elfitra	en_US
dc.subject	Iterative methods	en_US
dc.subject	nonlinear equation	en_US
dc.subject	order convergence	en_US
dc.subject	King’s method	en_US
dc.subject	free derivative method	en_US
dc.title	MODIFIKASI METODE KING OPTIMAL DENGAN KONVERGENSI ORDE EMPAT BEBAS TURUNAN	en_US
dc.type	Article	en_US