A new method for finding Root of Nonlinear Equations by using Nonlinear Regression

Jutaporn Neamvonk, Bumrungsak Phuenaree, Apichat Neamvonk

Abstract


In this paper, we describe a new method for solving nonlinear equations by using nonlinear regression. The method is verified on a number of test examples and numerical results obtained show that the proposed method is faster than Bisection method and Regula Falsi method and equal modified Regula Falsi method.

Keywords


Nonlinear equations, Nonlinear regression, Roots

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References


Monk, P.,and Munro J. L.,“Maths for Chemistry: A chemist’s toolkit for calculations”, Oxford University Press, New York, 2010

Montgomery C. D., Peek A. E., and Vining G. G., “Introduction to Linear Regression Analysis”, Fourth Edition. John Wiley & Sons Inc., New Jersey, 2006.

Neamvonk A., “A Modified Regula Falsi Method for Solving Root of Nonlinear Equations”, Asian Journal of Applied Sciences, vol. 3, no. 4, pp. 776-778, 2015.

Traub, J.F. “Iterative Methods for the Solution of Equations”, Prentice Hall, Englewood Cliffs, N.J., 1964.


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