Reproducing Kernel Method for Fourth Order Singularly Perturbed Boundary Value Problem
نویسندگان
چکیده
In this paper, reproducing kernel method is proposed for solving singularly perturbed fourth order boundary value problem in 5 2 W [0,1] . The exact solutions are given in the form of series. By truncating the series, the app-roximate solutions is obtained. The errors of the approximate solutions are monotone decreasing with the increasing of nodal points. It is observed that our approach produce better numerical solutions in the sense that maximum absolute error | ei| is a minimum. Results of numerical examples demonstrate that the method is quite accurate and efficient for fourth order singular perturbed BVPs. Numerical illustrations are tabulated to demonstrate the practical usefulness of method.
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