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Using reproducing kernel for solving a class of singularly perturbed problems. (English) Zbl 1211.65142
Summary: This paper is concerned with a new algorithm for giving the analytical and approximate solutions of a class of partial differential equations with a singularly perturbed term in a reproducing kernel space. Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.
MSC:
65M99Numerical methods for IVP of PDE
References:
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