Olabode, B.T. (2007) Some Linear Multistep Methods for Special and General Third Order Initial Value Problems in Ordinary Differential Equations. PhD Thesis, Federal University of Technology, Akure. (Unpublished)

has been cited by the following article:

• TITLE: Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations

  AUTHORS: Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode

  KEYWORDS: Symmetric, Hybrid Method, Exponential Function, Interpolation, Collocation

  JOURNAL NAME: Open Access Library Journal, Vol.3 No.4, April 18, 2016

  ABSTRACT: A symmetric hybrid linear multistep method for direct solution of general third order ordinary differential equations is considered in this paper. The method is developed by interpolation and collocation approach using a combination of power series and exponential function as basis function. The consistency, stability, order and error constant of the method were determined. The results showed that the method is consistent, zero stable and of order five with low error constant. The accuracy compared favorably over existing methods with higher order of accuracy.