Numerical treatment of second kind Fredholm integral equations systems on bounded intervals

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摘要

In this paper the authors propose numerical methods to approximate the solutions of systems of second kind Fredholm integral equations. They prove that such methods are stable and convergent. Error estimates in weighted Lp norm, 1⩽p⩽+∞, are given and some numerical tests are shown.

论文关键词：65R20,45F05,41A05,41A10,Fredholm integral equations,Projection method,Nyström method,Lagrange interpolation,Condition number

论文评审过程：Received 14 December 2006, Revised 12 June 2007, Available online 16 June 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.06.014