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An efficient technique to solve nonlinear equations using multiplicative calculus

Authors :
Muhammad Aslam Noor
Muhammad Waseem
Khalida Inayat Noor
Farooq Ahmed Shah
Source :
Volume: 42, Issue: 2 679-691, Turkish Journal of Mathematics
Publication Year :
2018
Publisher :
The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS, 2018.

Abstract

In this paper, we develop an efficient technique in the framework of multiplicative calculus and suggest a new class of numerical methods for solving multiplicative nonlinear equations \textit{g}(\textit{x}% ) = 1. We also develop the convergence criteria of the proposed methods. We solve the population growth model and minimization problem, which demonstrate the implementation and efficiency of the new techniques. We also show that these techniques perform much better as compared to the similar ordinary methods for solving ordinary nonlinear equations \textit{f}(\textit{x}) = 0.

Details

ISSN :
13036149 and 13000098
Volume :
42
Database :
OpenAIRE
Journal :
TURKISH JOURNAL OF MATHEMATICS
Accession number :
edsair.doi.dedup.....9f07209e970afe37f170689c331b04a6
Full Text :
https://doi.org/10.3906/mat-1611-95