A LAYER ANALYSIS OF PARAMETERIZED
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS
Mustafa Kudu1, Ilhame Amirali2, Gabil M. Amiraliyev3
1,3Department of Mathematics
Faculty of Art and Sciences
Erzincan University
24000, Erzincan, TURKEY
2Department of Mathematics
Faculty of Art and Sciences
Duzce University
81620, Duzce, TURKEY
Abstract. In this paper, the boundary value problems (BVP's) for parameterized singularly perturbed second order nonlinear ordinary differential equation are considered. The boundary layer behavior of the solution and its first and second derivatives have been established. Examples which are in agreement with the theoretical analysis are presented.
AMS Subject Classification: 34K10, 34K26, 34B08
Key Words and Phrases: dependence on a parameter, asymptotic bounds, singular perturbation, boundary layer


Download full article from here (pdf format).

DOI: 10.12732/ijam.v29i4.3

Volume: 29
Issue: 4
Year: 2016