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

De-Hao Yu

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

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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.

  • History

Published online: 1983-01

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