Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A FINITE ELEMENT APPROXIMATION OF A FOURTH-ORDER NONLINEAR BOUNDARY VALUE PROBLEM

  • Lee, Hyun-Yong (Department of Mathematics, Kyungsung University) ;
  • Ohm, Mi-Ray (Division of Information Systems Engineering, Dongseo University) ;
  • Shin, Jun-Yong (Division of Mathematical Sciences, Pukyong National University)
  • Published : 2001.09.01

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Abstract

A finite element approximation of a fourth-order nonlinear boundary value problem is given. In the direct implementation, a nonlinear system will be obtained and also a full size matrix will be introduced when Newton’s method is adopted to solve the system. To avoid this difficulty we introduce an iterative scheme which can be shown to converge the positive solution of the system lying between 0 and $sin{\pi}x$.

Keywords

References

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