Numerical Solution of the Nonlocal Singularly Perturbed Problem

The study is concerned with a different perspective which the numerical solution of the singularly perturbed nonlinear boundary value problem with integral boundary condition using finite difference method on Bakhvalov mesh. So, we show some properties of the exact solution. We establish uniformly convergent finite difference scheme on Bakhvalov mesh. The error analysis for the difference scheme is performed. The numerical experiment implies that the method is the first order convergent in the discrete maximum norm, independently of ????- singular perturbation parameter with effective and efficient iterative algorithm. The numerical results are shown in table and graphs.