Lie‐group method for solving the problem of fission product behavior in nuclear fuel

DOI10.1002/mma.2802zbMath1293.35334OpenAlexW2007753866MaRDI QIDQ5406981

Hossam S. Hassan, Mina B. Abd-El-malek

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2802

zbMATH Keywords

diffusion equationLie groupfinite differencesimilarity solutions

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
• Lie group method solution for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability
• Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
• Lie-group method of solution for steady two-dimensional boundary-layer stagnation-point flow towards a heated stretching sheet placed in a porous medium
• Lie-group method for unsteady flows in a semi-infinite expanding or contracting pipe with injection or suction through a porous wall
• On symmetries of radially symmetric nonlinear diffusion equations
• Potential symmetries and solutions by reduction of partial differential equations
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