REPRODUCING KERNEL TECHNIQUE FOR SINGULARLY PERTURBED INITIAL-BOUNDARY VALUE SYSTEMS WITH EXPONENTIAL INITIAL LAYERS

In this paper, a technique is presented for especially perturbed linear and nonlinear systems of second order initial-boundary value problems with exponential initial layers. The technique is a combination of the area decomposition technique and the reproducing kernel technique. A proper reproducing kernel is constructed for initial layer area problem. some numerical examples are probed the accuracy of the present thechnique. Results acquired by the technique indicate the technique is magnetic