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Research Journal of Engineering and Technology
ISSN: 2321-581X(Online), 0976-2973(Print)
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More efficient fifth-order method for solving systems of nonlinear equations
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Mona Narang1, Saurabh Bhatia2, V. Kanwar2*
1D.A.V. College, Chandigarh, 160010, India
2University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India.
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.
System of nonlinear equations, Order of convergence, Newton’s Method, Higher order methods, Computational efficiency.
Mona Narang, Saurabh Bhatia, V. Kanwar. More efficient fifth-order method for solving systems of nonlinear equations. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 212-222.
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