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arxiv: 0911.0194 · v2 · submitted 2009-11-01 · 🧮 math-ph · math.MP

On exact and perturbation solutions to nonlinear equations for heat transfer models

classification 🧮 math-ph math.MP
keywords equationsexactheatmodelsnonlinearperturbationresultssolutions
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We analyze some exact and approximate solutions to nonlinear equations for heat transfer models. We prove that recent results derived from a method based on Lie algebras are either trivial or wrong. We test a simple analytical expression based on the hypervirial theorem and also discuss earlier perturbation results.

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