Table of Contents
International Journal of Computational Mathematics
Volume 2014 (2014), Article ID 162103, 8 pages
Research Article

Block Hybrid -Step Backward Differentiation Formulas for Large Stiff Systems

1Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044, USA
2School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623-5603, USA

Received 16 June 2014; Revised 29 September 2014; Accepted 30 September 2014; Published 20 October 2014

Academic Editor: Zhijie Xu

Copyright © 2014 S. N. Jator and E. Agyingi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a generalized high order block hybrid -step backward differentiation formula (HBDF) for solving stiff systems, including large systems resulting from the semidiscretization parabolic partial differential equations (PDEs). A block scheme in which two off-grid points are specified by the zeros of the second degree Chebyshev polynomial of the first kind is examined for convergence, and stabilities. Numerical simulations that illustrate the accuracy of a Chebyshev based method are given for selected stiff systems and partial differential equations.