Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 765620, 19 pages
doi:10.1155/2010/765620
Research Article

Implementing Adams Methods with Preassigned Stepsize Ratios

David J. López1 and José G. Romay2

1Departamento Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain
2Departamento de Matemática y Computación, Universidad del Zulia, Maracaibo 4001, Venezuela

Received 1 October 2009; Accepted 13 January 2010

Academic Editor: Angelo Luongo

Copyright © 2010 David J. López and José G. Romay. 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.

Abstract

Runge-Kutta and Adams methods are the most popular codes to solve numerically nonstiff ODEs. The Adams methods are useful to reduce the number of function calls, but they usually require more CPU time than the Runge-Kutta methods. In this work we develop a numerical study of a variable step length Adams implementation, which can only take preassigned step-size ratios. Our aim is the reduction of the CPU time of the code by means of the precalculation of some coefficients. We present several numerical tests that show the behaviour of the proposed implementation.