The inverse Laplace transform of an exact analytical solution for a BVP in groundwater theory

DOI10.1016/0022-247X(92)90072-LzbMath0749.76071MaRDI QIDQ1193194

John M. Bownds, Tony A. Rizk

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Green's functionDarcy's lawBromwich integralordinary differential equationleaky aquifer-aquifer-aquitard systemquickly converging seriessaturated flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Laplace transform (44A10)

Cites Work

• A Green's function for a two point boundary value problem in groundwater theory
• A formal solution to a classical initial-boundary value problem in groundwater hydraulics
• Flow to wells in aquifers separated by a semipervious layer
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
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