Approximate symmetries and solutions of the hyperbolic heat equation

DOI10.1016/J.AMC.2008.06.060zbMath1159.35303OpenAlexW1973247889MaRDI QIDQ2378763

Yanyan Li

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.06.060

zbMATH Keywords

approximate symmetrieshyperbolic heat equationoptimal systemsapproximate invariant solutionsnon-similar subalgebras

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Higher-order hyperbolic systems (35L55)

Related Items (5)

A consistent approach to approximate Lie symmetries of differential equations ⋮ Approximate conservation laws of nonlinear perturbed heat and wave equations ⋮ Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions ⋮ Modified (2+1)-dimensional displacement shallow water wave system: symmetries and exact solutions ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation

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• Nonequivalent similarity reductions of steady 2D thermal boundary layer equations for an incompressible laminar flow over a continuous moving hot surface

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