The numerical solution of linear multi-term fractional differential equations: Systems of equations (Q1860454)
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scientific article; zbMATH DE number 1872893
| Language | Label | Description | Also known as |
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| English | The numerical solution of linear multi-term fractional differential equations: Systems of equations |
scientific article; zbMATH DE number 1872893 |
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The numerical solution of linear multi-term fractional differential equations: Systems of equations (English)
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23 February 2003
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The present paper deals with the analysis of a numerical method for linear scalar fractional differential equations of arbitrary order. To discretize fractional derivatives a linear combination of convolution weights is used. Moreover, a convergence theorem for the proposed numerical scheme is presented. Finally, some explicit computations including the well known Bagley Torvik equation modelling the motion of a rigid plate immersed in a Newtonian fluid are presented.
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fractional differential equations
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multi-term equations
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convergence
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Bagley Torvik equation
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Newtonian fluid
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