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

Theory of Approximation and Applications

مقاله 1، دوره 10، شماره 2، اسفند 2016، صفحه 1-12   

نوع مقاله: Research Articles

نویسندگان

Saeid Abbasbandy^* ؛ Mohammad Aslefallah

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

چکیده

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 eciency.

مراجع

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