Solving singular boundary-value problems of higher even-order

Abstract: In this paper,we present a new algorithm to solve a kind of singular boundary-value problems of higher even-order based on the theory of numerical analysis in the reproducing kernel space . Singular boundary-value problem of sixth-order has been discussed for the problem in the case of . The numerical results are compared with both the exact solution and its -order derived functions in the example. It is demonstrated that our method is of high precision and significance. [Copyright &y& Elsevier]