An Efficient and Straightforward Numerical Technique Coupled to Classical Newton's Method for Enhancing the Accuracy of Approximate Solutions Associated with Scalar Nonlinear Equations. (2nd November 2016)

• Record Type: Journal Article
• Authors: Antoni, Grégory
• Other Names: Liu Yurong Academic Editor.
• Is Part Of: International journal of engineering mathematics. Volume 2016(2016)
• Publication Date: 2016-11-02
• Subjects: Engineering mathematics -- Periodicals; Engineering mathematics; Electronic journals; Periodicals; 620.00151
• DOI: 10.1155/2016/8565821
• Languages: English
• ISSNs: 2356-7007

Abstract

Abstract : This study concerns the development of a straightforward numerical technique associated with Classical Newton's Method for providing a more accurate approximate solution of scalar nonlinear equations. The proposed procedure is based on some practical geometric rules and requires the knowledge of the local slope of the curve representing the considered nonlinear function. Therefore, this new technique uses, only as input data, the first-order derivative of the nonlinear equation in question. The relevance of this numerical procedure is tested, evaluated, and discussed through some examples.