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D. O. Awoyemi and S. J. Kayode, “A Maximal Order Collocation Method for Direct Solution of Initial Value Problems of General Second Order Ordinary Differential Equation,” Proceedings of the Conference Organised by the National Mathematical Centre, Abuja, 2005.

has been cited by the following article:

• TITLE: Four Steps Continuous Method for the Solution of y″= f (x, y, y′)

  AUTHORS: Adetola Olaide Adesanya, Mattew Remilekun Odekunle, Mfon Odo Udoh

  KEYWORDS: Predictor; Corrector; Collocation; Interpolation; Power Series Approximant; Continuous Block Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.2, June 25, 2013

  ABSTRACT: This paper proposes a continuous block method for the solution of second order ordinary differential equation. Collocation and interpolation of the power series approximate solution are adopted to derive a continuous implicit linear multistep method. Continuous block method is used to derive the independent solution which is evaluated at selected grid points to generate the discrete block method. The order, consistency, zero stability and stability region are investigated. The new method was found to compare favourably with the existing methods in term of accuracy.