Details

Autor(en) / Beteiligte

• Nayak, Sapan Kumar
• Parida, P. K.

Titel

The dynamical analysis of a low computational cost family of higher-order fractional iterative method

Ist Teil von

• International journal of computer mathematics, 2023-06, Vol.100 (6), p.1395-1417

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2023

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• Fractional calculus has been more important in many fields of science and engineering in recent years. It has developed into an engaging and productive area of mathematical research. In this article, our goal is to investigate how these derivatives with fractional orders affect how close nonlinear equations zeros are to being true. The present work examines the higher-order family of iterative techniques that use Caputo and Conformable fractional derivatives of at least cubic order to identify the roots of a nonlinear equations. Moreover, the higher-order Conformable fractional iterative methods perform better when the order of derivative lies .