Solution to a two-dimensional nonlinear parabolic heat equation subject to a boundary condition specified on a moving manifold
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Publication:6540056
DOI10.1134/S0965542524020052MaRDI QIDQ6540056
Lev Fridrikhovich Spevak, O. A. Nefedova, Alexandr Leonidovich Kazakov
Publication date: 15 May 2024
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
collocation methodexact solutionboundary element methodradial basis functionsnumerical solutiondegeneracyexistence and uniqueness theoremnonlinear parabolic heat conduction equation
Cites Work
- An approach to the derivation of exact integration formulae in the boundary element method
- Boundary element method and power series method for one-dimensional non-linear filtration problems
- Some recent results and proposals for the use of radial basis functions in the BEM
- On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation
- Solution of the problem of initiating the heat wave for a nonlinear heat conduction equation using the boundary element method
- Scattered Data Interpolation: Tests of Some Method
- On the Analytic Solutions of a Special Boundary Value Problem for a Nonlinear Heat Equation in Polar Coordinates
- Evolution PDEs with Nonstandard Growth Conditions
- ON SOME APPLICATIONS OF THE HYPERBOLIC HEAT EQUATION AND THE METHODS FOR SOLVING IT
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