๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A new method for solving a nonlinear equation with error estimations

โœ Scribed by A. Fdil


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
495 KB
Volume
21
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

โœฆ Synopsis


A new method for solving nonlinear equations is given. It is obtained by using the first step of the 0-algorithm. The order of the method proposed is always greater than or equal to two. Automatic error estimations for this method and for Steffensen's and Newton's methods are given. Theoretical results are illustrated by numerical experiments.


๐Ÿ“œ SIMILAR VOLUMES


A new modified secant-like method for so
โœ Xiuhua Wang; Jisheng Kou; Chuanqing Gu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB

In this paper, we present a new secant-like method for solving nonlinear equations. Analysis of the convergence shows that the asymptotic convergence order of this method is 1 + โˆš 3. Some numerical results are given to demonstrate its efficiency.

A new TVD flux-limiter method for solvin
โœ Silvia Jerez Galiano; Miguel Uh Zapata ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 408 KB

We develop a new flux-limiter method based on the Richtmyer two-step Lax-Wendroff (R2LW) method coupled with a conservative upwind method and a nonconventional fluxlimiter function. The proposed method is TVD stable and preserves the linear stability condition of the R2LW method. The numerical resul

Toward a new analytical method for solvi
โœ Asghar Ghorbani ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 333 KB

differential equations of fractional order a b s t r a c t The variational iteration method is widely used in approximate calculation. The main difficulty of the method is to identify the Lagrange multiplier, k, for differential equations of fractional order, especially of high order, where the pro