ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

 
 
 
   
 
Table of Contents
   
 
2013's   31,1-2(Jan)
   
 
  An initial value technique for singularly perturbed differential-difference equations with a small negative shift
    By R. Nageshwar Rao ..........1391
   
 
 
Generic Number - 1391
References - 0
Written Date - January 17th, 13
Modified Date - January 17th, 13
Downloaded Counts - 111
Visited Counts - 516
 
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Summary
In this paper, we present an initial value technique for solving singularly
perturbed differential difference equations with a boundary layer
at one end point. Taylor\textquoteright{}s series is used to tackle
the terms containing shift provided the shift is of small order of
singular perturbation parameter and obtained a singularly perturbed
boundary value problem. This singularly perturbed boundary value problem
is replaced by a pair of initial value problems. Classical fourth
order Runge\textendash{}Kutta method is used to solve these initial
value problems. The effect of small shift on the boundary layer solution
in both the cases, i.e., the boundary layer on the left side as well
as the right side is discussed by considering numerical experiments.
Several numerical examples are solved to demonstate the applicability
of the method.
 
 
   
 
   

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