A Diffusive Model for Damping Waves in Viscoelastic Medium: Numerical Approximation


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Abstract


In this work, we develop an approach of fractional calculus applied to hyperbolic systems with fractional viscoelastic damping. We present a diffusive input-output model and a constructive method witch realizes this operation in a nonhereditary way. These tools lead to a simple formulation witch is easy to approximate numerically via standard methods.
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Keywords


Fractional Calculus; Diffusive Representation; Viscoelastic System; Numerical Approximation

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