TY - JOUR
T1 - Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media
AU - Malgorzata , Peszynska
JO - Journal of Partial Differential Equations
VL - 2
SP - 159
EP - 173
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5649.html
KW - Integro-partial differential equations
KW - existence and uniqueness of solutions
KW - convolution integrals
AB -  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.