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A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach - MaRDI portal

A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach (Q2227698)

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A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
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    A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach (English)
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    15 February 2021
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    The authors describe a numerical method for the (space-) fractional sine-Gordon equation in one space dimension. Adopting the invariant energy quadratization (IEQ) approach, they modify the equations and create a linearly-implicit method that conserves the modified energy discretely. They also present and analysis of the method as well as some numerical experiments.
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    structure preservation
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    fractional sine-Gordon equation
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    Hamiltonian system
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    invariant energy quadratization
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