Volume 1, Issue 1
Numerical Solutions of Harmonic and Biharmonic Canonical Integral Equations in Interior Circular Domains

De-Hao Yu

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J. Comp. Math., 1 (1983), pp. 52-62

Published online: 1983-01

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  • Abstract

Elliptic boundary-avlue problems can be reduced to integral equations on the boundary by many different ways. The canonical reduction, suggested by Porf. Feng Kang, is a nutural and direct approach of boundary reduction, This paper gives the numerical method for solving harmonic and biharmonic cannoical integral equations in interior or exteriro cicular domains, together with their convergence and error estimates. Using the theory of distributions, the difficulty caused by the singularities of integral kernel is overcome. Results of several numerical calculations verify the theoretical estimates.

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@Article{JCM-1-52, author = {De-Hao Yu}, title = {Numerical Solutions of Harmonic and Biharmonic Canonical Integral Equations in Interior Circular Domains}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {1}, pages = {52--62}, abstract = { Elliptic boundary-avlue problems can be reduced to integral equations on the boundary by many different ways. The canonical reduction, suggested by Porf. Feng Kang, is a nutural and direct approach of boundary reduction, This paper gives the numerical method for solving harmonic and biharmonic cannoical integral equations in interior or exteriro cicular domains, together with their convergence and error estimates. Using the theory of distributions, the difficulty caused by the singularities of integral kernel is overcome. Results of several numerical calculations verify the theoretical estimates. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9681.html} }
TY - JOUR T1 - Numerical Solutions of Harmonic and Biharmonic Canonical Integral Equations in Interior Circular Domains AU - De-Hao Yu JO - Journal of Computational Mathematics VL - 1 SP - 52 EP - 62 PY - 1983 DA - 1983/01 SN - 1 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/jcm/9681.html KW - AB - Elliptic boundary-avlue problems can be reduced to integral equations on the boundary by many different ways. The canonical reduction, suggested by Porf. Feng Kang, is a nutural and direct approach of boundary reduction, This paper gives the numerical method for solving harmonic and biharmonic cannoical integral equations in interior or exteriro cicular domains, together with their convergence and error estimates. Using the theory of distributions, the difficulty caused by the singularities of integral kernel is overcome. Results of several numerical calculations verify the theoretical estimates.
De-Hao Yu. (1970). Numerical Solutions of Harmonic and Biharmonic Canonical Integral Equations in Interior Circular Domains. Journal of Computational Mathematics. 1 (1). 52-62. doi:
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