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

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

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

云天铨

Department of Mechanics, South China University of Technology, Guangzhou 510641, P. R. China

收稿日期:1994-03-15 修回日期:1994-12-10 出版日期:1995-05-18 发布日期:1995-05-18
基金资助:
Project supported by the National Science Foundation of Guangdong Province of China

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

Yun Tian-quan

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

摘要/Abstract

摘要： 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.

关键词: periodical problem, quasilinear wave equation, difference scheme, numerical solution

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

云天铨. SOLUTION OF A 2-D WEAK SINGULAR INTEGRAL EQUATION WITH CONSTRAINT[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(5): 443-449.

Yun Tian-quan. SOLUTION OF A 2-D WEAK SINGULAR INTEGRAL EQUATION WITH CONSTRAINT[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(5): 443-449.

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

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

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