In this book, we discuss various root finding algorithms, such as bisection method, regula-falsi method, Newton-Rapson method, Halley's method, Steffensen's method and a hybrid root finding algorithm, to find a root of the given transcendental equations. We also present a new hybrid root finding algorithm using exponential function and regula-falsi method. Certain numerical examples are presented to il- lustrate the algorithms using Microsoft excel. The proposed hybrid method is also discussed in Microsoft excel with sample computations.
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Srinivasarao Thota, Abayomi Ayotunde Ayoade
Prof. Srinivasarao Thota completed his M.Sc. in Mathematics from Indian Institute of Technology (IIT) Madras, India and Ph.D. in Mathematics from Motilal Nehru National institute of Technology (NIT) Allahabad, India. Thota’s areas of research interest are Computer Algebra (symbolic methods for differential equations), Numerical Analysis (root finding algorithms) and Mathematical Modelling (ecology). He has published more than 40 research papers in several international journals and presented his work in different national and international conferences as oral presenter and expertise/invited speaker. He is also editorial member of various international journals and received several awards on academic/research work. Presently, he is working as Associate Professor at Department of Mathematics, SR University, Warangal, India.
