This work is concerned with a comparison of some explicit methods for differential equations of fractional order. Computational cost, accuracy and stability properties are investigated. We show how the use of a modified algorithm based on a trapezoidal approximation can improve the efficiency of a predictor-corrector scheme. Some numerical experiments are performed in order to validate theoretical results. © 2008, American Institute of Physics.
A comparison of some explicit methods for fractional differential equations
GARRAPPA, Roberto
2008-01-01
Abstract
This work is concerned with a comparison of some explicit methods for differential equations of fractional order. Computational cost, accuracy and stability properties are investigated. We show how the use of a modified algorithm based on a trapezoidal approximation can improve the efficiency of a predictor-corrector scheme. Some numerical experiments are performed in order to validate theoretical results. © 2008, American Institute of Physics.File in questo prodotto:
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