Article citationsMore>>

Ehigie, J.O., Okunuga, S.A. and Sofoluwe, A.B. (2013) A Class of Exponetially Fitted Second Derivative Fitted Second Derivative Extended Backward Differentiation Formula for Solving Stiff Problems. Fascicuci Mathematics, 1, NR 51.

has been cited by the following article:

• TITLE: Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems

  AUTHORS: James Adewale, Adesanya Olaide, Onsachi Oziohu, Sunday Joshua, Moses Omuya

  KEYWORDS: Second Derivative, Interpolation, Collocation, Continuous Scheme, Block Method, Stiff Problems, Initial Value, Linear Multistep Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.8 No.1, March 28, 2018

  ABSTRACT: This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpolation and collocation of polynomial approximate solution. The results of this paper bring some useful information. The constructed methods are A-stable up to order 8. As it is shown in the numerical examples, the new methods are superior for stiff systems.