Solution of a two-dimensionel problem on the motion of a heat wave front with the use of power series and the boundary element method
zbMath1364.35165MaRDI QIDQ2627180
O. A. Nefedova, Aleksandr Leonidovich Kazakov, Lev Fridrikhovich Spevak
Publication date: 30 May 2017
Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)
Full work available at URL: http://isu.ru/journal/downloadArticle?article=_f0c29da262b547d8ae2ad12d67df6ed5&lang=rus
boundary element methodpower seriesexistence and uniqueness theoremcomputational experimentheat wavenonlinear equations with partial derivatives
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)
Cites Work
- On construction of heat wave for nonlinear heat equation in symmetrical case
- An approach to the derivation of exact integration formulae in the boundary element method
- Numerical and analytical studies of a nonlinear parabolic equation with boundary conditions of a special form
- Boundary element method and power series method for one-dimensional non-linear filtration problems
- An analytical and numerical study of a nonlinear parabolic equation with degeneration for the cases of circular and spherical symmetry
- Scattered Data Interpolation: Tests of Some Method
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