Jarratt and Jarratt-variant families of iterative schemes for scalar and system of nonlinear equations

Autor:	O. Ogbereyivwe, E. J. Atajeromavwo, S. S. Umar
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	jarratt scheme iterative scheme rational approximation poly-nomial nonlinear equation system of nonlinear equation Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 2, Pp 391-416 (2024)
Druh dokumentu:	article
ISSN:	2423-6977 2423-6969
DOI:	10.22067/ijnao.2024.84415.1314
Popis:	This manuscript puts forward two new generalized families of Jarratt’s iterative schemes for deciding the solution of scalar and systems of non-linear equations. The schemes involve weight functions that are based on bi-variate rational approximation polynomial of degree two in both its numerator and denominator. The convergence study conducted on the schemes, indicated that they have convergence order (CO) four in scalar space and retain the same number of CO in vector space. The numerical experiments conducted on the schemes when used to decide the solutions of some real-life nonlinear models show that they are good challengers of some well-known and robust existing iterative schemes.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6a386ed8c15046f8b52cc65c806710f5 Zobrazit plný text záznamu View record in DOAJ