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连续配置法求解一类非标准Fredholm积分方程

Continuous Collocation Method for Solving a Class of Nonstandard Fredholm Integral Equations
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摘要 将连续配置方法应用于求解一类非标准F redho lm型积分方程.利用压缩映射原理证明了这类方程解的存在唯一性并具体构造了求解这类方程的配置格式.给出了相应的连续配置格式的误差分析结果和数值实验. The continuous collocation method for solving a type of nonstandard Fredholm integral equations was presented.The existence and uniqueness of solutions was proved by using contracting mapping principle and the collocation scheme was obtained.The error analysis and numerical experiments were also given.
作者 孟品超 谷禹
出处 《中北大学学报(自然科学版)》 CAS 北大核心 2010年第6期554-557,共4页 Journal of North University of China(Natural Science Edition)
基金 国家自然科学基金资助项目(J073010110801062)
关键词 非标准Fredholm积分方程 连续配置法 误差分析 nonstandard Fredholm integral equations continuous collocation method error analysis
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参考文献10

  • 1Joe S.Discrete collocation methods for second kind Fredholm integral equations[J].SIAM J.Numer.Anal.,1985,22(6):1167-1177.
  • 2Houstis E N,Papatheodorou T S A.Collocation method for Fredholm integral equations of the second kind[J].Math.Comp.,1978,32(141):159-173.
  • 3Elnagar G N,Kazemi M.Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations[J].J.Comput.Appl.Math.,1996,76(1-2):147-158.
  • 4Inga P,Arvet P,Enn T.Piecewise polynomial collocation for Fredholm integro-differential equations with weakly singular kernels[J].SIAM J.Numer.Anal.,2005,43(5):1897-1911.
  • 5Brunner H.On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods[J].SIAM J.Numer.Anal.,1990,27(4):987-1000.
  • 6Brunner H.Collocation methods for Volterra integral and related functional differential equations[M].Cambridge:Cambridge University Press,2004.
  • 7Joe S.Collocation methods for second kind Fredholm integral equations[J].Mathematical Programming and Numerical Analysis Workshop,1983:107-119.
  • 8Diogo T,Lima P.Super convergence of collocation methods for a class of weakly singular Volterra integral equations[J].J.Comput.Appl.Math.,2008,218:307-316.
  • 9Cao Y Z,Huang M,Liu L P,et al.Hybrid collocation methods for Fredholm integral equations with weakly singular kernels[J].Appl.Numer.Math.,2007,57(5-7):549-561.
  • 10Hu Q Y.Interpolation correction for collocation solutions of Fredholm integro-differential equations[J].Math.Comp.,1998,67(223):987-999.

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