DOAJ Open Access 2014

A new approach for solving nonlinear system of equations using Newton method and HAM

Jalal Izadian Reza Abrishami Maryam Jalili

Lihat Sumber DOI

Abstrak

A new approach utilizing Newton Method and Homotopy Analysis Method (HAM) is proposed for solving nonlinear system of equations. Accelerating the rate of convergence of HAM, and obtaining a global quadratic rate of convergence are the main purposes of this approach. The numerical results demonstrate the efficiency and the performance of proposed approach. The comparison with conventional homotopy method, Newton Method and HAM shows the great freedom of selecting the initial guess, in this approach.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (3)

Jalal Izadian

Reza Abrishami

Maryam Jalili

Format Sitasi

APA MLA BibTeX

Izadian, J., Abrishami, R., Jalili, M. (2014). A new approach for solving nonlinear system of equations using Newton method and HAM. https://doi.org/10.22067/ijnao.v4i2.32555

Akses Cepat

Lihat di Sumber doi.org/10.22067/ijnao.v4i2.32555

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.22067/ijnao.v4i2.32555
Akses: Open Access ✓