Application of the shooting method for the solution of second order boundary value problems

Abstract

Due to the applications of Boundary Value Problems (BVPs) in real-life phenomena, the shooting method has proven itself useful and efficient in handling BVP. The shooting method works by first reducing the BVP to an Initial Value Problem (IVP), then one/two initial value guesses are made. The IVPs are then solved using an iterative solution, and this process is then repeated until the second boundary condition is reached to a satisfactory level. The iterative formula used in this study is the Euler’s method while the initial value estimation method used is the Secant method (interpolation formula).