An efficient computational method for a class of singularly perturbed delay parabolic partial differential equation

In this paper, a new technique is constructed skillfully in order to solve a class of singularly perturbed delay parabolic partial differential equation. The outer and inner exact solutions of the linear problem can be expressed in the form of series and the outer and inner approximate solutions of the nonlinear problem are given by the iterative formula. Compared with known investigations, the advantages of our method are that the representation of the exact solution is obtained by using a new technique in a new reproducing kernel Hilbert space and the accuracy of numerical computation is higher. Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate that it is simple and effective.