On numerical solution of semilinear singular perturbation problems by using the Hermite scheme on a new Bakhalov-type mesh


Dragoslav Herceg, Miroljub Miloradović




A fourth-order finite-difference method for a semilinear singularly perturbed boundary value problem is studied. This method is based on Hermitian approximation of the second derivative on special new discretization mesh of Bakhvalov type. Numerical examples which demonstrate the effectiveness of the method are presented.