A fully discrete LDG method for the distributed-order time-fractional reaction-diffusion equation (Q2421419)
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| Language | Label | Description | Also known as |
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| English | A fully discrete LDG method for the distributed-order time-fractional reaction-diffusion equation |
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A fully discrete LDG method for the distributed-order time-fractional reaction-diffusion equation (English)
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17 June 2019
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The author presents numerical discretizations for solving the distributed-order time-fractional reaction-diffusion equation. The numerical discretizations are derived by combining the weighted and shifted Grünwald formula for the time-fractional derivative and the local discontinuous Galerkin method for the space. They are proved to be unconditionally stable and convergent. Moreover, the numerical experiments demonstrate the efficiency and convergence of the numerical methods.
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distributed-order fractional derivative
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reaction-diffusion equation
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local discontinuous Galerkin method
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unconditionally stable
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