Numerical Solution of Non-Linear Boundary Value Problems of Ordinary Differential Equations Using the Shooting Technique

Abstract

Ordinary Di erential Equations (ODEs) of the Initial Value Problem (IVP) or Boundary Value Problem (BVP) type can model phenomena in wide range of elds including science, engineering, economics, social science, biology, business, health care among others. Often, systems described by di erential equations are so complex that purely analytical solutions of the equations are not tractable. Therefore techniques for solving di erential equations based on numerical approximations take centre stage. In this paper we review the shooting method technique as a method of solution to both linear and non-linear BVPs.