Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643125 | Journal of Computational and Applied Mathematics | 2006 | 18 Pages |
Abstract
The Falkner method is a multistep scheme intended for the numerical solution of second-order initial value problems where the first derivative does appear explicitly. In this paper, we develop a procedure to obtain k-step Falkner methods (explicit and implicit) in their variable step-size versions, providing recurrence formulas to compute the coefficients efficiently. Considering a pair of explicit and implicit formulae, these may be implemented in predictor–corrector mode.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jesús Vigo-Aguiar, Higinio Ramos,