Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media
Year: 1995
Author: Peszynska Malgorzata
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 2 : pp. 159–173
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JPDE-5649
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 2 : pp. 159–173
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Integro-partial differential equations