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H. N. ?aglar, S. N. ?aglar, E. H. Twizell, The numerical solution of fifth-order boundary value problems with sixth-degree B-spline function, Applied Mathematics Letter, Vol. 12, 1999, pp. 25-30. doi:10.1016/S0893-9659(99)00052-X

has been cited by the following article:

• TITLE: A Cubic Spline Method for Solving a Unilateral Obstacle Problem

  AUTHORS: El Bekkey Mermri, Abdelhafid Serghini, Abdelmajid El hajaji, Khalid Hilal

  KEYWORDS: Obstacle Problem; Spline Collocation; Nonsmooth Equation; Generalized Newton Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.3, September 28, 2012

  ABSTRACT: This paper, we develop a numerical method for solving a unilateral obstacle problem by using the cubic spline collocation method and the generalized Newton method. This method converges quadratically if a relation-ship between the penalty parameter and the discretization parameter h is satisfied. An error estimate between the penalty solution and the discret penalty solution is provided. To validate the theoretical results, some numerical tests on one dimensional obstacle problem are presented.