Title: RKGHeM(4,4) technique with error control for connected component detector

Authors: S. Senthilkumar

Addresses: School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang-11800, Penang, Malaysia

Abstract: The aim of this paper is focused on proposing a new versatile Runge-Kutta embedded fourth order four stage geometric heronian mean algorithm for simulating connected component detector (CCD) under cellular neural network (CNN) architecture. The mathematical expressions for local truncation error (LTE), global truncation error (GTE) and error estimates have been derived. Simulation results are presented for new RKGHeM(4,4) algorithm.

Keywords: numerical integration; CNNs; cellular neural networks; embedded RKGHeM; CCD; connected component detectors; ordinary differential equations; ODE; error control; simulation; local truncation error; global truncation error; error estimation.

DOI: 10.1504/IJASS.2011.042201

International Journal of Applied Systemic Studies, 2011 Vol.4 No.1/2, pp.17 - 36

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 31 Aug 2011 *

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