Numerical solution of the Bagley-Torvik equation using Laguerre polynomials (Q2301176)
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| Language | Label | Description | Also known as |
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| English | Numerical solution of the Bagley-Torvik equation using Laguerre polynomials |
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Numerical solution of the Bagley-Torvik equation using Laguerre polynomials (English)
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28 February 2020
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This paper provides a method for solving the Bagley-Torvik fractional differential equation. The approach used is to apply the Laplace transform to the equation and then to use a Laguerre polynomial-based method to invert the Laplace transform. The authors provide details of their method, a basic error analysis, and some numerical examples demonstrating its effectiveness.
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Bagley-Torvik equation
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Laguerre polynomial
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Laplace transform
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Caputo derivative
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