Reproducing kernel method for singular fourth order four-point boundary value problems
نویسندگان
چکیده
This paper investigates the analytical approximate solutions of singular fourth order four-point boundary value problems using reproducing kernel method (RKM). The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the reproducing kernel method can not be used directly to solve singular fourth order four-point boundary value problems (BVPs), since there is no method of obtaining reproducing kernel satisfying four-point boundary conditions. The aim of this paper is to fill this gap. A method for obtaining reproducing kernel satisfying four-point boundary conditions is proposed so that reproducing kernel method can be used to solve singular fourth order four-point BVPs. Results of numerical examples demonstrate that the method is quite accurate and efficient for singular fourth order four-point BVPs. MSC: 34B10; 35G15; 34A25; 47B32.
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