It is the purpose of this paper to derive two-step hybrid methods for y″ =f(x,y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is shown and their properties are discussed. Some numerical experiments confirming the theoretical expectations are provided. © 2011 Published by Elsevier B.V. All rights reserved.

Exponentially fitted two-step hybrid methods for y'' =f(x,y)

D'Ambrosio, R.;
2011-01-01

Abstract

It is the purpose of this paper to derive two-step hybrid methods for y″ =f(x,y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is shown and their properties are discussed. Some numerical experiments confirming the theoretical expectations are provided. © 2011 Published by Elsevier B.V. All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/120018
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 49
  • ???jsp.display-item.citation.isi??? 36
social impact