| Autor: |
Kumar Mylapalli, Mani Sandeep, Kakarlapudi, Navya, Singh, Pravin, Sekhar, Akkapeddi Chandra, Chaganti, Pragathi |
| Předmět: |
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| Zdroj: |
Mathematical Modelling of Engineering Problems; Feb2024, Vol. 11 Issue 2, p301-315, 15p |
| Abstrakt: |
This paper provides a novel seventh-order iterative method for identifying the zeros of nonlinear equations that use the weight function and finite difference techniques. It is free of the second derivative and consists of three functional evaluations and one of its first derivatives at each iteration. Theoretical study shows that the proposed approach has a seventh order of convergence and a corresponding error equation. In some examples, the performance and effectiveness of the novel iterative method were tested and compared with a few existing equivalent order methods. We analyze a wide range of real-world situations from several fields to test the applicability and effectiveness of the proposed methods, and numerical comparisons are made with a few recently developed techniques. Finally, by investigating its complex dynamical behavior using test functions, we demonstrate that the suggested method is superior to currently used alternative methods. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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