An efficient technique to solve nonlinear equations usingmultiplicative calculus

Authors

MUHAMMAD WASEEM
MUHAMMAD ASLAM NOOR
FAROOQ AHMED SHAH
KHALIDA INAYAT NOOR

DOI

10.3906/mat-1611-95

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

First Page

679

Last Page

691

Recommended Citation

WASEEM, MUHAMMAD; NOOR, MUHAMMAD ASLAM; SHAH, FAROOQ AHMED; and NOOR, KHALIDA INAYAT (2018) "An efficient technique to solve nonlinear equations usingmultiplicative calculus," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 21. https://doi.org/10.3906/mat-1611-95
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/21