The numerical approximation of linear multiterm fractional differential equations is investigated. Convolution quadratures based on Runge-Kutta methods together with formulas for the efficient inversion of the Laplace transform are considered to provide highly accurate numerical solutions. Implementation issues are discussed and good stability properties are shown. The effectiveness of the algorithm is analyzed by means of some numerical experiments.
STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS
GARRAPPA, Roberto
2012-01-01
Abstract
The numerical approximation of linear multiterm fractional differential equations is investigated. Convolution quadratures based on Runge-Kutta methods together with formulas for the efficient inversion of the Laplace transform are considered to provide highly accurate numerical solutions. Implementation issues are discussed and good stability properties are shown. The effectiveness of the algorithm is analyzed by means of some numerical experiments.File in questo prodotto:
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