Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
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Publication:961579
DOI10.1016/j.amc.2010.01.046zbMath1193.80009OpenAlexW2165196857MaRDI QIDQ961579
Raseelo J. Moitsheki, Oluwole Daniel Makinde
Publication date: 31 March 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.046
Lie algebrasymmetry reductionsymmetry analysissymmetry generatorthermal energy storageclassical Lie point symmetrylinear transformation groupunsteady nonlinear heat diffusion
Related Items (4)
On Symmetries and Conservation Laws for a Generalized Fisher–Kolmogorov–Petrovsky–Piskunov Equation ⋮ Lie point symmetries for generalised Fisher's equations describing tumour dynamics ⋮ Transient heat diffusion with temperature-dependent conductivity and time-dependent heat transfer coefficient ⋮ Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates
Uses Software
Cites Work
- Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
- Group method solution for solving nonlinear heat diffusion problems
- Transient heat diffusion with temperature-dependent conductivity and time-dependent heat transfer coefficient
- Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
- Symmetry and integration methods for differential equations
- On the group classification of variable-coefficient nonlinear diffusion--convection equations
- On symmetries of radially symmetric nonlinear diffusion equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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