ANALYTICAL SHOOTING TECHNIQUE FOR THE SOLUTION OF TWO POINT NONLINEAR BOUNDARY VALUE PROBLEMS
Keywords:
Secant Method, Newton’s Method, Approximate Analytical Solution, Numerical Solution, Adomian decomposition method, Shooting angleAbstract
In this paper, an analytical approach was used in the scheme of shooting technique to solve two point boundary value problems. The analytical method used was Adomian decomposition method in place of the usual numerical methods which are prone to discretization errors. Boundary value problems were simplified into initial value problems by the technique of shooting and the method of Adomian decomposition was applied to the initial value problems. The slope of the initial condition ( t 0 ) is calculated as the initial shooting angle which was updated as many times as possible by the secant and Newton's method. The updated slope ( t k ) is repeated in the process of shooting until the result is closed enough to hitting the target.
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