Exact analytic solutions of the porous media and the gas pressure diffusion ODEs in non-linear mechanics

DOI10.1016/j.ijnonlinmec.2006.10.018zbMath1200.76188OpenAlexW2076454513MaRDI QIDQ605436

Anastasia B. Sotiropoulou, Dimitrios E. Panayotounakos, Nikos B. Sotiropoulos, Manos Manios

Publication date: 24 November 2010

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2006.10.018

zbMATH Keywords

exact analytic solutionsnonlinear ODEsgas pressure diffusion equationKidder's equation

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Flows in porous media; filtration; seepage (76S05) Explicit solutions, first integrals of ordinary differential equations (34A05) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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Analytical solutions for solving unsteady flow of gas through a porous medium by using auxiliary functions method

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