METODE ITERASI DUA LANGKAH DENGAN ORDE KEKONVERGENAN ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
| dc.contributor.author | ALEXANDER, ALEXANDER | |
| dc.date.accessioned | 2022-06-14T03:41:11Z | |
| dc.date.available | 2022-06-14T03:41:11Z | |
| dc.date.issued | 2021-12 | |
| dc.description.abstract | This article discusses a two-step iterative method to solve a nonlinear equation. The method is obtained by substituting the quadratic formula into Taylor expansion, then the second derivative that appears in the formula is estimated using a cubic polynomial. Analytically it is showed, using the Taylor expansion, geometric series and binomial series that the iterative method has the convergence of order six and requires four function evaluations for each iteration. The proposed method is optimal and based on its efficiency index 1.57. Numerical computations show that the new method is comparable to the other discussed six-order methods. | en_US |
| dc.description.sponsorship | Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Riau | en_US |
| dc.identifier.citation | Perpustakaan | en_US |
| dc.identifier.other | Elfitra | |
| dc.identifier.uri | https://repository.unri.ac.id/handle/123456789/10513 | |
| 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 | Newton’s method | en_US |
| dc.title | METODE ITERASI DUA LANGKAH DENGAN ORDE KEKONVERGENAN ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR | en_US |
| dc.type | Article | en_US |