It is the purpose of this paper to derive two-step hybrid methods for yⳠ=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 yⳠ=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:
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