Details

Autor(en) / Beteiligte

• Monovasilis, T.
• Kalogiratou, Z.
• Ramos, Higinio
• Simos, T. E.

Titel

Modified two‐step hybrid methods for the numerical integration of oscillatory problems

Ist Teil von

• Mathematical methods in the applied sciences, 2017-09, Vol.40 (14), p.5286-5294

Ort / Verlag

Freiburg: Wiley Subscription Services, Inc

Erscheinungsjahr

2017

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• The construction of modified two‐step hybrid methods for the numerical solution of second‐order initial value problems with periodic or oscillatory behavior is considered. The coefficients of the new methods depend on the frequency of each problem so that the harmonic oscillator y′′=−w2y is integrated exactly. Numerical experiments indicate that the new methods are more efficient than existing methods with constant or variable coefficients. Copyright © 2017 John Wiley & Sons, Ltd.