An convenient numerical method for singularly perturbed problem with
integral boundary conditions is proposed by using finite difference
method. Firstly, the evaluations of the exact solution are given. Then
difference scheme is constructed in Shishkin mesh. Finally, the
convergence analysis of this method is done and obtained first order
uniformly convergence with respect to perturbation parameter in discrete
maximum norm. Numerical results are presented in support of the proposed
method.