Abstract :
Since Non-linear equations are significant across many disciplines—including physics, engineering, economics, and other sciences—but solving them analytically can be quite challenging. This article explores the application of MATLAB to analyze three numerical methods: False Position, Newton-Raphson, and Secant. Each method is demonstrated through examples implemented in MATLAB, with error graphs provided to assess their accuracy. The study aims to assist in identifying the most appropriate method for solving particular types of nonlinear problems.
Keywords :
False Position Method, Newton-Raphson Method, Numerical examples, Secant Method.References :
1. E Balagurusamy, “Numerical Methods”, Tata McGraw Hill Education Private Limited New Delhi, (2011).
2. P.B. Patil and U.P. Verma, “Numerical Computational Method”, Narosa Publishing House, New Delhi, (2006).
3. Santanu Saha Ray, “Numerical Analysis with Algorithms and Programming”, Taylor & Francis Group, LLC. (2016).
4. Richard L. Burden, and J. Douglas Faires, “Numerical Analysis”, 9th edition, Richard Stsratton publisher, (2011).
5. J.B. Dixit, “Numerical Method”, 1st Edition, University science press New Delhi, (2010).
6. Naghipoor, J., Ahmadian, S. A., & Soheili, A. R. (2008). An improved regula falsi method for finding simple zeros of nonlinear equations. Applied Mathematical Sciences, 2(8), 381-386.
7. Shaw, S. and Mukhopadhyay, B., 2015. An improved Regula falsi method for finding simple roots of nonlinear equations. Applied Mathematics and Computation, 254, pp.370-374.
