An efficient technique to solve nonlinear equations using multiplicative calculus

Authors: MUHAMMAD WASEEM, MUHAMMAD ASLAM NOOR, FAROOQ AHMED SHAH, KHALIDA INAYAT NOOR

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.

Keywords: Multiplicative derivative, numerical techniques, multiplicative nonlinear equation, convergence criteria

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