Open Access
Research Article
Modified Barzilai-Borwein (MBB) gradient method for solving fuzzy nonlinear equations
*Fanar N. JardowCorresponding authorfnr.neif@uomosul.edu.iqDepartment of Environmental Science College of Environmental Sciences University of MosulMosul, 41002, IraqView full profile → , Marwan Jameelmarwan.jameel@uomosul.edu.iqDepartment of Environmental Technologies College of Environmental Sciences University of MosulMosul, 41002, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Mar 2024
- Published Online:
- 01 Jul 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1805
- Pages:
- 1559–1568
Abstract
Research has demonstrated that conventional analytical techniques such as the SD, BB, CG, and N approaches are insufficient to solve a collection of fuzzy non-linear equations that involve fuzzy number coefficients[1]. Because of this, the two-step extended gradient method is suggested as an alternative way to resolve these kinds of unclear nonlinear equations. This work uses a six-step technique to solve ambiguous nonlinear equations[7]. This method does not require the Jacobi method and only requires finding a line for t = 0. In order to provide clarification and enhance understanding, two well-known numerical examples are provided to demonstrate the suggested concept, along with their practical results implemented in MATLAB in tables and curves.
Keywords
Subject Classifications
90C2646N1090Cxx
References
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