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An efficient technique to solve nonlinear equations using multiplicative calculus
Author(s) -
Muhammad Waseem,
Muhammad Aslam Noor,
Farooq Ahmed Shah,
Khalida Inayat Noor
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1611-95
Subject(s) - multiplicative function , mathematics , nonlinear system , convergence (economics) , class (philosophy) , minification , calculus of variations , calculus (dental) , mathematical optimization , mathematical analysis , computer science , medicine , physics , dentistry , quantum mechanics , artificial intelligence , economics , economic growth
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 g(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 f (x ) = 0.

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