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An efficient technique to solve nonlinear equations using multiplicative calculus
- 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.
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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.
- Subjects :
- Nonlinear system
Multiplicative calculus
General Mathematics
Multiplicative derivative,numerical techniques,multiplicative nonlinear equation,convergence criteria
Applied mathematics
02 engineering and technology
010501 environmental sciences
021001 nanoscience & nanotechnology
0210 nano-technology
01 natural sciences
0105 earth and related environmental sciences
Mathematics
Subjects
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