IJPAM: Volume 59, No. 4 (2010)

Department of Mathematics
Austin Peay State University
Clarksville, TN 37044, USA
e-mail: [email protected]
Abstract.A family of hybrid linear multistep methods (HLMMs) with two nonstep
points is proposed for the direct solution of second order initial
value problems (IVPs). The methods are applied in block form as simultaneous
numerical integrators over non-overlapping intervals. We give
specific cases for step number to illustrate the process.
Numerical results obtained using the proposed methods reveal that
they are highly competitive with existing methods in the literature.
Received: January 26, 2010
AMS Subject Classification: 65L05, 65L06, 65L12
Key Words and Phrases: hybrid method, multistep, nonstep points, second order
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 4