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.
Exponentially fitted two-step hybrid methods for y''=f(x,y)
D'AMBROSIO, RAFFAELE;ESPOSITO, ELENA;PATERNOSTER, Beatrice
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.File in questo prodotto:
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