Propagation of boundary of inhomogeneous heat conduction equation

DOI10.1016/S0096-3003(02)00184-4zbMath1024.35024OpenAlexW2084108921MaRDI QIDQ1408312

Reda G. Abdel-Rahman

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00184-4

zbMATH Keywords

symmetry methodmoving boundary conditionsimilarity variablesKummer's equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Cites Work

• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• On Certain Types of Solution of the Equation of Heat Conduction
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