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Title CONSTRUCTION OF HIGHER ORDER TECHNIQUES FOR MULTIPLE ROOTS OF NONLINEAR EQUATIONS

Author(s) Hira Shafiq

Abstract In this dissertation, higher order methods have been studied for finding multiple roots of single variable non-linear equation. We have developed here third, sixth and seventh order iterative methods for finding multiple roots of non-linear equation that may arise in modelling of real world with non-linear phenomena. These multiple root finding methods are based on the method developed by Thota and Shanmugasundaram [1] for determining simple roots. It is observed that newly developed methods have good comparison with method of same order. Their efficiency performance is tested on a number of relevant numerical problems.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2023-10-04

Subject Mathematics

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