A Nyström method for solving 2sth order boundary value problems

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摘要

A Nyström method is proposed for solving Fredholm integral equations equivalent to special boundary value problems of order 2s. The stability and the convergence of the proposed procedure is proved. Some numerical examples are provided in order to illustrate the accuracy of the method.

论文关键词:2sth order boundary value problem,Nyström method,Lagrange interpolation,Condition number,Numerical method for Fredholm integral equation

论文评审过程:Available online 4 May 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.04.040