Efficiency of Ridders’ method in solving nonlinear equations using Scilab programming
DOI:
https://doi.org/10.15282/daam.v6i1.11307Keywords:
Ridders method, Bisection, Secant, Newton-Raphson, Two step Halley’s method, CPU timeAbstract
The study aims to compare the efficiency of numerical methods such as Bisection, Secant, Newton-Raphson, Ridders and Halley’s methods in solving nonlinear scalar equations. The research provides numerical experiments on the efficiency and accuracy of the methods by focusing on the number of iterations, accuracy, and computational time. Based on the numerical results, Ridder’s method outperforms other methods in terms of accuracy and efficiency for all the nonlinear problems. Although the Secant method did perform well for problems involving polynomial function and the Bisection method did perform well for problems involving exponential function, the method is not as efficient as Ridder's method in terms of computational time. Newton-Raphson method although gives quadratic convergence the method has slightly higher number of iterations than the Ridder’s and Halley’s methods. Hence, the research underscores the significance of numerical methods in solving nonlinear equations by using an open-source programming language which is Scilab.
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