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

Document Type: Research Articles

Authors

Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.

Abstract

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

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