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- Title
Exact Solutions of Equations of a Nonstationary Front with Equilibrium Points of a Fractional Order.
- Authors
Bykov, A. A.; Ermakova, K. E.
- Abstract
Abstract: A family of exact solutions of an evolution equation describing the combustion process in a medium with a power-law temperature dependence of the source density is found. A formal asymptotics of the solution of the initial boundary value problem for the reaction-diffusion equation is constructed. The correctness of the partial sum of an asymptotic series is proved using the method of differential inequalities.
- Subjects
NUMERICAL solutions to evolution equations; BOUNDARY value problems; REACTION-diffusion equations; DIFFERENTIAL inequalities; DEPENDENCE (Statistics); FRACTIONAL calculus
- Publication
Computational Mathematics & Mathematical Physics, 2018, Vol 58, Issue 12, p1977
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542518120084