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A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation - MaRDI portal

A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation (Q2213896)

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A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation
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    A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation (English)
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    3 December 2020
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    The authors describe a numerical method to solver certain time-fractional PDEs using a space-time Legendre spectral collocation ansatz. Some numerical examples including convergence experiments with manufactured solutions in two space dimensions are presented.
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    Caputo derivative
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    Riemann-Liouville integral
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    Legendre polynomials
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    spectral methods
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    fractional differential equations
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