Title: Application of artificial bee colony algorithm as numerical solution for first order IVPs and industrial robot arm control problem

Authors: V. Murugesh; G. Sanjiv Rao; Manoj Singhal; Rajnesh Singh; Sunil Gupta

Addresses: Department of Computer Science and Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, Andhra Pradesh, 522302, India ' Department of Computer Science and Engineering, Aditya College of Engineering and Technology, Suramplem, Andhra Pradesh, India ' Department of Information Technology, GL Bajaj Institute of Technology and Management, Greater Noida, U.P., India ' School of Computing Science & Engineering (SCSE), Galgotias University, Plot No. 2, Yamuna Expressway, opposite Buddha International Circuit, Sector 17A, Greater Noida, Uttar Pradesh 203201, India ' School of Computer Science, University of Petroleum and Energy Studies, P.O. Bidholi Via-Prem Nagar, Dehradun – 248007, India

Abstract: The current research article presents a novel analytical method with the help of artificial bee colony (ABC) algorithm to overcome the industrial robot arm control problem and 1st order initial value-based ordinary differential equations (ODEs). The current study took ten problems in addition to industrial robot arm control problem into consideration to establish the effective outcomes of ABC algorithm. In terms of actual solutions, the outcomes were compared with that of the results from RK-Gill algorithm and RK-Butcher algorithm and were inferred to be highly accurate. The results infer that it is easy to implement ABC algorithm and obtains solution for any time period.

Keywords: Runge-Kutta method: RK-Butcher algorithm; RK-Gill algorithm; ABC algorithm: ODEs; artificial bee colony; ordinary differential equations; first order IVPs.

DOI: 10.1504/IJCVR.2026.155195

International Journal of Computational Vision and Robotics, 2026 Vol.17 No.1, pp.120 - 131

Received: 31 Dec 2022
Accepted: 15 Mar 2023
Published online: 29 Jul 2026 *

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