New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies (Q1925424)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies |
scientific article; zbMATH DE number 6116444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies |
scientific article; zbMATH DE number 6116444 |
Statements
New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies (English)
0 references
18 December 2012
0 references
Summary: Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.
0 references
amplification fitted Numerov-type methods
0 references
periodic initial value problems
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
