On the shooting method for a class of two-point singular nonlinear boundary value problems

Abstract

This paper is concerned with the application of the shooting method to a class of two-point singular nonlinear boundary value problems. An explicit fourth order single-step method for the solution of singular initial value problems is developed and used in the application of the shooting method. Some numerical results are presented to demonstrate the ease and effectiveness of this method as compared to other methods.

Keywords:

• Singular two-point boundary value problems
• singular initial value problems
• shooting method
• Runge-Kutta-Nystrom methods

C.R Categories:

• G 1.7