Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509839 | Journal of Computational and Applied Mathematics | 2005 | 9 Pages |
Abstract
We present a new explicit Runge-Kutta method with algebraic order four, minimum error of the fifth algebraic order (the limit of the error is zero, when the step-size tends to zero), infinite order of dispersion and eighth order of dissipation. The efficiency of the newly constructed method is shown through the numerical results of a wide range of methods when these are applied to well-known periodic orbital problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Z.A. Anastassi, T.E. Simos,