Error estimation for the reproducing kernel method to solve linear boundary value problems

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摘要

In the previous works, the authors presented the reproducing kernel method(RKM) for solving various boundary value problems. However, an effective error estimation for this method has not yet been discussed. The aim of this paper is to fill this gap. In this paper, we shall give the error estimation for the reproducing kernel method to solve linear boundary value problems.

论文关键词:Reproducing kernel method,Error estimation,Linear boundary value problems

论文评审过程:Received 25 July 2012, Revised 1 November 2012, Available online 7 November 2012.

论文官网地址:https://doi.org/10.1016/j.cam.2012.11.002