On the design and analysis of high‐order Weerakoon‐Fernando methods based on weight functions. Issue 5 (10th July 2020)

• Record Type: Journal Article
• Authors: Chand, Prem B.; Chicharro, Francisco I.; Jain, Pankaj
• Is Part Of: Computational and mathematical methods. Volume 2:Issue 5(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-07-10
• Subjects: applications -- complex dynamics -- nonlinear equation -- Weerakoon‐Fernando method -- weight function; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1114
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : In this article, using the idea of weight functions on Weerakoon‐Fernando's method, an optimal fourth‐order method and some higher order multipoint methods for solving nonlinear equations are proposed. These methods are tested in some real applications and numerical examples and the results are compared with some existing methods. Their dynamical behavior on complex polynomials is analyzed and basins of attraction of these methods are presented.