학술논문
A Boundary Element Method for Nonlinear Boundary Value Problems
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- YUNBEOM PARK P S KIM
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 7, No. 1, 141~152쪽, 전체 12쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1994.06.30
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국문 초록
영문 초록
We consider a numerical scheme for solving a nonlinear boundary integral equation (BIE) obtained by reformulation the nonlinear boundary value problem (BVP). We give a simple alternative to the standard collocation method for the nonlinear BIE. This method consists of one conventional linear system and another coupled linear system resulting from an auxiliary BIE which is obtained by differentiating both side of the nonlinear interior integral equations. We obtain an analogue BIE through the perturbation of the fundamental solution of Laplace’s equation. We procure the super-convergence of approximate solutions.
목차
ABSTRACT
1. Introduction
2. Boundary Integral Equation
3. Collocation Method
4. Numerical Examples
REFERENCES
키워드
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