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球面上第二类Fredholm积分方程配置方法 被引量:2

Collocation for Integral Equation of the Second Kind on Global Surface
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摘要 球面上第二类 Fredholm积分方程经球坐标变换可化为矩形域 H0 上的问题求解 .用有限元法构造H0 上的插值函数 ,它必须满足在 H0 的左、右两边连续 。 In this paper, we consider solving integral equations of the second kind on a global surface using collocation method. The problem is transfered by mapping onto a rectongle H 0 . Interpolationg function is continue in left and right sides of H 0 .
作者 胡国胜
出处 《数学的实践与认识》 CSCD 2000年第4期423-427,共5页 Mathematics in Practice and Theory
关键词 第二类FREDHOLM方程 配置方法 有限元 积分方程 second kind integral equation collocation finite elements method
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  • 1Prem Kythe, Pratap Puri. Computational methods for linear integral equations[ M ]. Berlin : Springer,2002.
  • 2Hemker P W ,Schippers H. Multiple grid methods for the solution of Frodholm integral equations of the 2nd kind[J]. Math Comput, 1981,36(2) : 215 -232.
  • 3Piessens R. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations[J]. J Comp Appl Math, 2000, 121(3) : 113 -124.
  • 4Thamban Nair M. Linear Operator Equations: Approximation and Regularization [ M ]. Singapore: World Scientific Publishing Company, 2009.
  • 5Prem Kythe, Pratap Purl. Compultational methods for linear integral equations [ M ]. Berlin : Springer, 2002.
  • 6M.Thambannair. Linear Operator Equations [M]. World Scientific, 2009.
  • 7P.W.Hemker, H.Schippers. Multiple grid methods for the solution of Fredholm integral equations of the 2nd kind [J]. Math Comput, 1981, 36(2): 215-232.
  • 8R.Piessens. Computing integral transforms and solving integral equations using Chebyshev poly- nomial approximations [J]. J Comp Appl Math, 2000, 121(3): 113-124.
  • 9M.Thamban Nair: Linear Operator Equations: Approximation and Regularization [M]. Singapore: World Scientific Publishing Company, 2009.
  • 10Cao Yanzhao, Huang Min, etc. Hybrid collocation methods for Fredholm integral equations with weakly singular kernels [J]. Applied Numerical Mathematics, 2007, 57(3): 549-561.

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