# 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)
• Published : 1999.03.01
• 83 5

#### Abstract

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

#### Keywords

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

#### References

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