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Onumanyi, P., Awoyemi, D.O., Jator, S.N. and Sirisena, U.W. (1994) New Linear Mutlistep Methods with Continuous Coefficients for First Order Initial Value Problems. Journal of the Nigerian Mathematics Society, 37-51.

has been cited by the following article:

• TITLE: L-Stable Block Hybrid Second Derivative Algorithm for Parabolic Partial Differential Equations

  AUTHORS: Fidele Fouogang Ngwane, Samuel Nemsefor Jator

  KEYWORDS: Hybrid Second Derivative Method; Off-Step Point; Parabolic; Partial Differential Equations

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.2, March 25, 2014

  ABSTRACT: An L-stable block method based on hybrid second derivative algorithm (BHSDA) is provided by a continuous second derivative method that is defined for all values of the independent variable and applied to parabolic partial differential equations (PDEs). The use of the BHSDA to solve PDEs is facilitated by the method of lines which involves making an approximation to the space derivatives, and hence reducing the problem to that of solving a time-dependent system of first order initial value ordinary differential equations. The stability properties of the method is examined and some numerical results presented.