Journal of applied mathematics & informatics

  • 제8권3호
  • /
  • Pages.935-942
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  • 2001
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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)
  • 발행 : 2001.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

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 $sin{\pi}x$.

키워드

참고문헌

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  2. Journal of Engineering Math v.11 no.4 Numerical solution of a fourth-order ordinary differential equation M.K.Jain;S.R.K.Iyengar;J.S.V.Saldanha
  3. Journal of Math. Anal. & Applic v.215 The method of lower and upper solutions for fourth-order two-point boundary value problems R.Y.Ma;J.H.Zhang;S.G.Fu
  4. Math. of Comp. v.32 no.144 Discrete variable methods for a boundary value problem with engineering applications R.A.Usmani
  5. American Mathematical Society v.77 no.3 A uniqueness theorem for a boundary value problem R.A.Usmani
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  7. Journal of Engineering Math v.9 Numerical solution of ordinary differential equations occurring in plate deflection theory R.A.Usmani;M.J.Marsden
  8. Comp. & Math. with Appl. v.6 Problems in plate deflection theory R.A.Usmani;S.A.Warsi