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On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems - MaRDI portal

On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems (Q426521)

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scientific article; zbMATH DE number 6045270
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English
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
scientific article; zbMATH DE number 6045270

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    On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems (English)
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    11 June 2012
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    The authors explore the finite difference method for a fourth-order fractional diffusion-wave system. The method is proved to be uniquely solvable, stable and convergent in \(l_{\infty }\)-norm by the energy method. They examine a subdiffusion system and present the numerical analysis using a different method. Numerical experiments are provided to demonstrate the accuracy and efficiency of the proposed schemes.
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    solvability
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    stability
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    convergence
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    finite difference method
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    fourth-order fractional diffusion-wave system
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    numerical experiments
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