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D. O. Awoyemi, M. O. Udoh and A. O. Adesanya, “Non-Symmetric Collocation Method for Direct Solution of General Third Order Initial Value Problems of Ordinary Differential Equation,” Journal of Natural and Applied Mathematics, Vol. 7, 2006, pp. 31-37.

has been cited by the following article:

• TITLE: A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)

  AUTHORS: Adetola O. Adesanya, Mfon O. Udo, Adam M. Alkali

  KEYWORDS: Collection; Interpolation; Power Series; Approximant; Linear Multistep; Continuous Coefficient; Block Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.4, December 31, 2012

  ABSTRACT: We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to derive a linear multistep method (LMM) with continuous coefficient. Block method was later adopted to generate the independent solution at selected grid points. The properties of the block viz: order, zero stability and stability region are investigated. Our method was tested on third order ordinary differential equation and found to give better result when compared with existing methods.