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S. N. Jator and J. Li, “A Self Starting Linear Multistep Method for the Direct Solution of the General Second Order Initial Value Problems,” International Journal of Computer Mathematics, Vol. 86, No. 5, 2009, pp. 817- 836. doi:10.1080/00207160701708250

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.