Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media |
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Authors: | Peszynska Malgorzata |
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Abstract: | An analysis of an integro-differential equation with a convolution term is given. Such equations arise in modelling of flows th rough fissured media, and these integral terms account for fading memory effects exhibited by the flow. We proposed a convergent semi-discrete approximation of the convolution term with a possibly singular kernel. The approximation scheme leads to the existence/uniqueness result for the problem and has strongly favorable numerical aspects. |
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Keywords: | Integro-partial differential equations existence and uniqueness of solutions convolution integrals |
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