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Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media
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@Article{JPDE-8-159,
author = {Malgorzata , Peszynska},
title = {Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {2},
pages = {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.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5649.html}
}
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.
Malgorzata , Peszynska. (1995). Analysis of an Integro-differential Equation Arising from Modelling of Flows with Fading Memory Through Fissured Media.
Journal of Partial Differential Equations. 8 (2).
159-173.
doi:
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