IJPAM: Volume 96, No. 4 (2014)
MULTISTEP FORMULA WITH CHEBYSHEV
COLLOCATION POINTS FOR STIFF PROBLEMS
Department of Mathematics
University of Lagos
Dan Fodio Blvd, Lagos 23401, NIGERIA
Abstract. Most block methods in the literature which are implemented in predictor-corrector mode, usually suffer some stability setbacks and this may hinder their implementation on some stiff problems.
In this paper, we construct a stiffly stable block second
derivative backward differentiation formula with Chebyshev
collocation points that is self-starting and is capable of solving
stiff problems. The method is applied in block form as a
simultaneous numerical integrator over non-overlapping
subintervals. The method is proven to possess stiffly stable,
stable and stable properties. Some numerical
examples reveal that this class of methods is very promising and
are suitable for solving stiff problems.
Received: March 7, 2014
AMS Subject Classification: 65L05, 65L06
Key Words and Phrases: stiffly stable, Chebyshev collocation points, stiff problems, second derivative backward differentiation formula
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DOI: 10.12732/ijpam.v96i4.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 457 - 481