| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4635687 | Applied Mathematics and Computation | 2007 | 12 Pages |
Abstract
The solution y(x) of an IVP for a linear ODE with analytic coefficient functions is represented as a power series. A high-order Taylor polynomial is used for an approximate numerical solution. The Taylor remainder series is rigorously estimated by some geometric series.The method has been implemented and tested on a computer. Guaranteed enclosures are achieved by taking into account all roundoff errors.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Markus Neher,