Title: A highly accurate numerical discretisation of time dependent singular state variable model for software testing process

Authors: Praveen Ranjan Srivastava

Addresses: Information Technology and Systems Group, Indian Institute of Management (IIM), Rohtak-124001, India

Abstract: In this paper, we consider a time dependent state variable model for software testing process based on the theory of feedback control and state variables. The model incorporates time dependency and can be used to predict an estimate of the remaining defects in software. The model consists of a singular differential equation and usual numerical method is refined to resolve computations thereon. The model is developed to demonstrate the applicability of the software development process and is useful in computing the effort required to reduce the number of defects. Computational results are provided to illustrate the applicability of the model using parallel alternating group explicit solver.

Keywords: parallel AGE solver; software testing; singularity; feedback control; state variables; modelling; numerical discretisation; software development; time dependency; singular differential equations; defect reduction; alternating group explicit solver.

DOI: 10.1504/IJCSM.2015.067532

International Journal of Computing Science and Mathematics, 2015 Vol.6 No.1, pp.9 - 17

Received: 03 Oct 2013
Accepted: 12 Apr 2014

Published online: 19 Feb 2015 *

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