Reproducing Kernel Hilbert Space(RKHS) method for solving singular perturbed initial value problem

Abstract

In this paper, a numerical scheme for solving singular initial/boundary value problems presented.<br />By applying the reproducing kernel Hilbert space method (RKHSM) for solving these problems,<br />this method obtained to approximated solution. Numerical examples are given to demonstrate the<br />accuracy of the present method. The result obtained by the method and the exact solution are found<br />to be in good agreement with each other and it is noted that our method is of high signi cance.<br />We compare our results with other paper. The comparison of the results with exact ones is made to<br />con rm the validity and e ciency.