Archive
Special Issues Volume 4, Issue 2, April 2018, Page: 22-28
Comparison of Some Iterative Methods of Solving Nonlinear Equations
Okorie Charity Ebelechukwu, Department of Mathematics and Statistics, Faculty of Pure and Applied Sciences, Federal University, Wukari, Nigeria
Ben Obakpo Johnson, Department of Mathematics and Statistics, Faculty of Pure and Applied Sciences, Federal University, Wukari, Nigeria
Ali Inalegwu Michael, Department of Mathematics and Statistics, Faculty of Pure and Applied Sciences, Federal University, Wukari, Nigeria
Akuji Terhemba Fidelis, Department of Mathematics and Statistics, Faculty of Pure and Applied Sciences, Federal University, Wukari, Nigeria
Received: Dec. 23, 2017;       Accepted: May 15, 2018;       Published: Jul. 26, 2018
Abstract
This work focuses on nonlinear equation (x) = 0, it is noted that no or little attention is given to nonlinear equations. The purpose of this work is to determine the best method of solving nonlinear equations. The work outlined four methods of solving nonlinear equations. Unlike linear equations, most nonlinear equations cannot be solved in finite number of steps. Iterative methods are being used to solve nonlinear equations. The cost of solving nonlinear equations problems depend on both the cost per iteration and the number of iterations required. Derivations of each of the methods were obtained. An example was illustrated to show the results of all the four methods and the results were collected, tabulated and analyzed in terms of their errors and convergence respectively. The results were also presented in form of graphs. The implication is that the higher the rate of convergence determines how fast it will get to the approximate root or solution of the equation. Thus, it was recommended that the Newton’s method is the best method of solving the nonlinear equation f(x) = 0 containing one variable because of its high rate of convergence.
Keywords
Nonlinear, Iterative Methods, Convergence, Variable
Okorie Charity Ebelechukwu, Ben Obakpo Johnson, Ali Inalegwu Michael, Akuji Terhemba Fidelis, Comparison of Some Iterative Methods of Solving Nonlinear Equations, International Journal of Theoretical and Applied Mathematics. Vol. 4, No. 2, 2018, pp. 22-28. doi: 10.11648/j.ijtam.20180402.11
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