Research Journal of Engineering and Technology

Mona Narang ¹, Saurabh Bhatia ², V. Kanwar ²

Affiliations
1 D.A.V. College, Chandigarh, 160010, IN
2 University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, IN

Abstract

In this paper, we present a one-parameter family of fifth-order methods by extending Nedzhibov's third-order methods for solving systems of nonlinear equations. For a particular value of parameter, the new fifth-order method is more efficient as compared to the existing methods as its computational cost is less. Further, it requires two function evaluations, two first order Fr´echet derivatives and one matrix inversion per iteration. Numerical examples confirm that the proposed method is highly efficient and useful in solving systems of nonlinear equations.

Keywords

System of Nonlinear Equations, Order of Convergence, Newton’s Method, Higher Order Methods, Computational Efficiency.

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