A numerical method for singularly perturbed problems with non-local boundary conditions

In this thesis, numerical integral method is used for approximate solution of singularly perturbed problem with nonlocal boundary conditions. An algebraic equation system is created by transforming the problems into finite difference problems by using trapezoidal method and finite difference method within the numerical integral method. Four example applications are given to demonstrate the accuracy and reliability of the presented method. The algorithms of these applications are solved with the help of a suitable mathematical program. The approximate results obtained were compared with the exact results.