TITLE:
A Note on Differential Equation with a Large Parameter
AUTHORS:
S. O. Maliki, R. N. Okereke
KEYWORDS:
ODE, Asymptotic Solutions, Bessel Differential Equation, Stability, MathCAD Solution
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.3,
February
25,
2016
ABSTRACT: We present here asymptotic solutions of equations of the type , where is a large parameter. The Bessel differential equation is considered as a typical example of the above and the solutions are provided as . Furthermore, the behaviour of the solutions as well as the stability of the Bessel ode is investigated numerically as the parameter grows indefinitely.