Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (6): 535-542.

• 论文 • 上一篇    下一篇

THE ESTABLISHMENT OF BOUNDARY INTEGRAL EQUATIONS BY GENERALIZED FUNCTIONS

彭晓林, 何广乾   

  1. China Academy of Building Research, Beijing
  • 收稿日期:1985-05-07 出版日期:1986-06-18 发布日期:1986-06-18

THE ESTABLISHMENT OF BOUNDARY INTEGRAL EQUATIONS BY GENERALIZED FUNCTIONS

Peng Xiao-lin, He Guang-qian   

  1. China Academy of Building Research, Beijing
  • Received:1985-05-07 Online:1986-06-18 Published:1986-06-18

摘要: By the theory of generalized functions this paper introduces a specific generalized function, by which, together with its various derivatives, the boundary integral equations and its arbitrary derivatives of any sufficiently smooth function can be established. These equations have no non-integral singularities. For a problem defined by linear partial differential operators, the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist.

关键词: heat transfer, numerical solution, boundary layer, stretching sheet, induced magnetic field, magnetohydrodynamic (MHD) flow

Abstract: By the theory of generalized functions this paper introduces a specific generalized function, by which, together with its various derivatives, the boundary integral equations and its arbitrary derivatives of any sufficiently smooth function can be established. These equations have no non-integral singularities. For a problem defined by linear partial differential operators, the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist.

Key words: numerical solution, induced magnetic field, magnetohydrodynamic (MHD) flow, boundary layer, heat transfer, stretching sheet

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