Skip to main content
Home / International Journal of Computer Mathematics, Volume 83, Number 3

Numerical solution of second-order robot arm control problem using Runge–Kutta–Butcher algorithm

Buy Article:

$74.00 + tax (Refund Policy)

Authors: Gopal, Devarajan 1 ; Murugesh, V. 2 ; Murugesan, K. 3 ; 

Source: International Journal of Computer Mathematics, Volume 83, Number 3, March 2006, pp. 345-356(12)

Publisher: Taylor and Francis Ltd

DOI: https://doi.org/10.1080/00207160600825221

The parameters governing the arm model of a second-order robot control problem are studied using the Runge–Kutta–Butcher (RK–Butcher) algorithm. The exact solution of the system of equations representing the arm model of a robot are compared with the corresponding discrete solutions (approximate solutions) at different time intervals using the RK–Butcher algorithm. The absolute error between the exact and discrete solutions is also determined. A detailed well-composed comparison is carried out using the results and graphs obtained.

Keywords: Arithmetic mean; Ordinary differential equations; RK–Butcher algorithm; Robot arm model; Runge–Kutta method

Document Type: Research Article

Affiliations: 1: Department of Digital Information and Communication Engineering, Woosong University, Daejeon, Republic of Korea-300-718 2: Department of Computer Science and Engineering, National Institute of Technology, Tiruchirappalli-, 620 015, Tamil Nadu, India 3: Department of Mathematics, National Institute of Technology, Tiruchirappalli-, 620 015, Tamil Nadu, India

Publication date: March 1, 2006

More about this publication?

Share Content

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content