Radial transport in a porous medium with Dirichlet, Neumann and Robin-type inhomogeneous boundary values and general initial data: analytical solution and evaluation

DOI10.1007/s10665-011-9509-xzbMath1254.76151OpenAlexW2152504838MaRDI QIDQ695548

E. J. M. Veling

Publication date: 21 December 2012

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-011-9509-x

zbMATH Keywords

analytical solutioninitial-boundary value problemconvection-diffusionsteepest descent pathmixed boundary conditionairy functionradial flow field

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Diffusion and convection (76R99)

Related Items

Similarity solution and heat transfer characteristics for a class of nonlinear convection-diffusion equation with initial value conditions

Uses Software

• INVLAP
• Algorithm 644
• Algorithm 368
• ALGOL 60

Cites Work

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• Revised report on the algorithmic language ALGOL 60
• An algorithm for the evaluation of the complex Airy functions
• A Unified Framework for Numerically Inverting Laplace Transforms
• Power Algorithms for Inverting Laplace Transforms
• An Improved Method for Numerical Inversion of Laplace Transforms
• The Accurate Numerical Inversion of Laplace Transforms
• Numerical inversion of laplace transforms using contour methods
• A remark on Algorithm 644
• Remark on algorithm 644
• Algorithm 644
• Laplace transform inversions using optimal contours in the complex plane