Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (5): 443-449.

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SOLUTION OF A 2-D WEAK SINGULAR INTEGRAL EQUATION WITH CONSTRAINT

Yun Tian-quan   

  1. Department of Mechanics, South China University of Technology, Guangzhou 510641, P. R. China
  • Received:1994-03-15 Revised:1994-12-10 Online:1995-05-18 Published:1995-05-18
  • Supported by:

    Project supported by the National Science Foundation of Guangdong Province of China

Abstract: In this paper, the solution of a 2-D weak singular integral equation of tire first kind where(s,φ)is a local polar coordhrating with orighr at M(r,θ),(r,θ)is the global polar"coordinating n'ith origh7 at O(0,0):k and F are given continuous functions;φ0 is a constant;F(r*,θ)=c*(const.)is the boundary contour of considering range Q. The method used can be extended to 3-D cases.

Key words: periodical problem, quasilinear wave equation, difference scheme, numerical solution

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