Multipoint boundary value solution of singularly perturbed two-point boundary value problems based on initial-value approach

Perturbation theory is total of methods for systematic analysis of generalbehaviours of the differential equation solutions. Singular perturbed secondorder two-point boundary value problems are applied in a wide area. Thatproblems are most used in applied mathematics, fluid mechanics and orbitsystems. Consequently, numerical results obtained after the solution ofproblems are especially considerable. In this thesis, an algorithm was given forsolving multipoint boundary value problems with initial value approach andMATLAB was used for the application of this algorithm on computer. It wasobvious that results are quite well when it was compared with the real and theother solutions.Key Words : Singular perturbation, two-point boundary valueproblem, shooting method, finite difference method,initial-value approach