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Zbl 0837.35065
Euler, M.; Euler, N.; Köhler, A.
On the construction of approximate solutions for a multidimensional nonlinear heat equation.
(English)
[J] J. Phys. A, Math. Gen. 27, No.6, 2083-2092 (1994). ISSN 0305-4470

Summary: We study three methods, based on continuous symmetries, to find approximate solutions for the multidimensional nonlinear heat equation $\partial u/\partial x_0+ \Delta u= au^n+ \varepsilon f(u)$, where $a$ and $n$ are arbitrary real constants, $f$ is a smooth function, and $0< \varepsilon\ll 1$.
MSC 2000:
*35K55 Nonlinear parabolic equations
35A35 Theoretical approximation to solutions of PDE

Keywords: approximate symmetries

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