A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using Arcsine Function

Authors

Srinivasarao Thota, Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh – 522503, IndiaFollow
Louai Maghrabi, Department of Software Engineering, College of Engineering, University of Business and Technology, 21448, Jeddah, Saudi ArabiaFollow
P. Shanmugasundaram, Department of Mathematics, College of Natural & Computational Sciences, Mizan Tepi University, Mizan Tepi, EthiopiaFollow
Mohammad Kanan, Department of Industrial Engineering, College of Engineering, University of Business and Technology, 21448, Jeddah, Saudi ArabiaFollow
Ala’a Saeb Al-Sherideh, Department of Cyber Security, Faculty of Information Technology, Zarqa University, Zarqa, JordanFollow

Abstract

The objective of this paper is to propose a new hybrid root finding algorithms for solving non-linear equations (NLEs) or transcendental equations (TEs). The proposed algorithm is based on the trigonometrical algorithm using arcsine function to find a root. Several numerical examples are presented to illustrate the proposed algorithms, and comparisons are presented with other existing methods to show efficiency and accuracy. Implementation of the proposed algorithms is presented in a mathematical software tool Maple.

Recommended Citation

Thota, Srinivasarao; Maghrabi, Louai; Shanmugasundaram, P.; Kanan, Mohammad; and Saeb Al-Sherideh, Ala’a (2023) "A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using Arcsine Function," Information Sciences Letters: Vol. 12 : Iss. 6 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss6/50