Abstract:
In this thesis, we presented a fitted mesh numerical method for solving singularly perturbed Burger-
Fisher equation. Since the problem is nonlinear, we apply quasi-linearizion technique on the nonlinear
part of the equation. Then, the resulting linearized problem is discretized using an implicit
second-order finite difference approximation in the time direction on uniform mesh.The numerical
scheme formulated using both forward and backward finite difference methods are applied in the
space direction on a piecewise uniform Shishkin mesh.The error analysis has been established for
the method. As a perturbation parameter goes to small values, a boundary layer is produced in
the neighborhood of left lateral surface. Applicability of the proposed method is demonstrated by
numerical experiments
