Solving singular boundary-value problems of higher even-order

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摘要

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 W22m+3[0,1]. Singular boundary-value problem of sixth-order has been discussed for the problem {u(6)(x)+a(x)u(4)(x)+b(x)u″(x)+c(x)u(x)=f(x),0

论文关键词:Singular boundary-value problem of higher even-order,Reproducing kernel space,Exact solution

论文评审过程:Received 17 May 2007, Revised 20 January 2008, Available online 4 March 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.02.010