Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions (Q1609457)
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: Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions |
scientific article; zbMATH DE number 1781881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions |
scientific article; zbMATH DE number 1781881 |
Statements
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions (English)
0 references
15 August 2002
0 references
The author constructs effectively a new three stage Runge-Kutta-Nyström methods of order four for \[ {d^2u\over dt^2}= f(t, u(x)) \] provided that the solutions are periodic or oscillating. Stability is analyzed and numerical experiments are carried out.
0 references
periodic solution
0 references
oscillating solution
0 references
error bound
0 references
stability
0 references
Runge-Kutta-Nyström methods
0 references
numerical experiments
0 references
0 references
0.9662527
0 references
0 references
0.94738966
0 references
0 references
0.9413862
0 references
0.93462664
0 references
0.9295862
0 references
