✦ LIBER ✦

A new method of secant-like for nonlinear equations

✍ Scribed by Zhang Hui; Li De-Sheng; Liu Yu-Zhong

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 168 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2008.11.002

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✦ Synopsis

In this paper, a new method for solving nonlinear equations f(x) = 0 is presented. In many literatures the derivatives are used, but the new method does not use the derivatives. Like the method of secant, the first derivative is replaced with a finite difference in this new method. The new method converges not only faster than the method of secant but also Newton's method. The fact that the new method's convergence order is 2.618 is proved, and numerical results show that the new method is efficient.

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