Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A FINITE DIFFERENCE APPROXIMATION OF A SINGULAR BOUNDARY VALUE PROBLEM

  • Lee, H.Y. (DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY) ;
  • Ohm, M.R. (DEPARTMENT OF MATHEMATICS, DONG-SEO UNIVERSITY) ;
  • Shin, J.Y. (DIVISION OF MATHEMATICAL SCIENCES, PUKYONG NATIONAL UNIVERSITY)
  • Published : 1998.08.01
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Abstract

We consider a finite difference approximation to a singular boundary value problem arising in the study of a nonlinear circular membrane under normal pressure. It is proved that the rate of convergence is $O(h^2)$. To obtain the solution of the finite difference equation, an iterative scheme converging monotonically to the solution of the finite difference equation is introduced. And the numerical experiment of this method is given.

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