USE OF COMPUTER EXPERIMENTS TO STUDY THE QUALITATIVE BEHAVIOR OF SOLUTIONS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS

by Seshadev Padhi, Manish Trivedi and Soubhik Chakraborty .

Abstract: Use of computer experiments have become very popular in the recent past with VLSI design, combustion, experimental studies on algorithmic complexity to name only a few of the vast number of its applications. Since the root of a differential equation is strictly determinable for a given set of parameters, it makes it plain that if we run the code, which solves the characteristic equation, for the same set of parameters invariably we shall get identical results. In the present paper, we are motivated to realize the deterministic response of a neutral differential equation as the outcome of a stochastic process and conduct factorial experiments to obtain much valuable information on the behavior of the solution with emphasis on both the main treatments (parameters) and their interactions.

Key Words: neutral differential equation; factorial experiments

Authors:
Seshadev Padhi, ses_2312@yahoo.co.in
Manish Trivedi, manish_trivedi1976@yahoo.co.in
Soubhik Chakraborty, soubhikc@yahoo.co.in

Editor: Richard Graf, rgraf@sunstroke.sdsu.edu

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