THE CONVERGENCE OF FINITE DIFFERENCE APPROXIMATIONS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

  • Lee, H.Y. (Department of Mathematics Kyungsung University) ;
  • Seong, J.M. (Department of Mathematics Kyungsung University) ;
  • Shin, J.Y. (Division of Mathematical Sciences Pukyong National University)
  • 발행 : 1999.03.01

초록

We consider two finite difference approxiamations to a singular boundary value problem arising in the study of a nonlinear circular membrane under normal pressure. It is shown that the rates of convergence are O(h) and O($h^2$), respectively. An iterative scheme is introduced which converges to the solution of the finite difference equations. Finally the numerical experiments are given

키워드

A finite difference approximation. a singular boundary value problem;a rate of convergence

참고문헌

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