A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping (Q2046244)
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scientific article; zbMATH DE number 7382613
| Language | Label | Description | Also known as |
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| English | A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping |
scientific article; zbMATH DE number 7382613 |
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A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping (English)
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17 August 2021
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An alternating segment Crank-Nicolson (ASC-N) difference scheme has been constructed for solving the time-fractional diffusion-wave equation with damping. The authors show that the scheme is unconditionally stable and convergent, which is validated by two numerical examples. The ASC-N scheme is more efficient than the Crank-Nicolson (C-N) scheme with increasing the number of space grids. The inherent parallelism of the scheme allows higher accuracy and efficiency for solving fractional differential equations.
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time fractional diffusion-wave equation with damping
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intrinsic parallelism
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ASC-N scheme
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stability
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parallel computing
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