IJPAM: Volume 81, No. 4 (2012)
METHOD FOR STIFF SYSTEMS
Department of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA
Department of Mathematics
The University of North Texas at Dallas
Dallas, TX 75044, USA
Abstract. In this paper, we show that a Simpson's type second derivative method (SSDM) can be adapted to cope with the integration of stiff systems in ordinary differential equations (ODEs). This is achieved by combining the SSDM with an additional method and implementing them as a block method. The block method is shown to be A-stable and of order 6. Numerical results produced by the block method show that the method is competitive with existing ones in the literature.
Received: September 1, 2012
AMS Subject Classification: 65L05, 65L06
Key Words and Phrases: Simpson's method, stiff system, block method, second derivative method
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395