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Onumanyi, P., Awoyemi, D.O., Jator, S.N. and Siriseria, U.W. (1994) New Linear Multistep Methods with Continuous Coefficients for First Order IVPs. Journal of Nigeria Mathematics Society, 13, 37-51.

has been cited by the following article:

• TITLE: A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations

  AUTHORS: Ademola M. Badmus

  KEYWORDS: Uniform Order, Second Order Initial Value Problem, Implicit Block Algorithms, Zero Stable

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.4, September 29, 2014

  ABSTRACT: This paper focuses on derivation of a uniform order 8 implicit block method for the direct solution of general second order differential equations through continuous coefficients of Linear Multi-step Method (LMM). The continuous formulation and its first derivatives were evaluated at some selected grid and off grid points to obtain our proposed method. The superiority of the method over the existing methods is established numerically.