Euler, M.; Euler, N.; Köhler, A. On the construction of approximate solutions for a multidimensional nonlinear heat equation. (English) Zbl 0837.35065 J. Phys. A, Math. Gen. 27, No. 6, 2083-2092 (1994). 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 \(0< \varepsilon\ll 1\). Cited in 17 Documents MSC: 35K55 Nonlinear parabolic equations 35A35 Theoretical approximation in context of PDEs Keywords:approximate symmetries PDFBibTeX XMLCite \textit{M. Euler} et al., J. Phys. A, Math. Gen. 27, No. 6, 2083--2092 (1994; Zbl 0837.35065) Full Text: DOI