Analytic solutions of initial-boundary-value problems of transient conduction using symmetries
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Publication:961604
DOI10.1016/J.AMC.2009.12.016zbMath1187.35005arXiv0909.0785OpenAlexW2100828636MaRDI QIDQ961604
Publication date: 31 March 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.0785
boundary-value problemspartial differential equationsanalytic solutionsLie point symmetriestransient conduction
Initial-boundary value problems for second-order parabolic equations (35K20) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (4)
Non-similar mixed convection analysis for magnetic flow of second-grade nanofluid over a vertically stretching sheet ⋮ A method for generating approximate similarity solutions of nonlinear partial differential equations ⋮ Approximate analytic solutions of transient nonlinear heat conduction with temperature-dependent thermal diffusivity ⋮ Modified (2+1)-dimensional displacement shallow water wave system: symmetries and exact solutions
Cites Work
- Similarity methods for differential equations
- Symmetry analysis of differential equations with MATHEMATICA
- Symmetry and integration methods for differential equations
- Nonlinear partial differential equations in engineering. Vol. II
- Symmetries and first integrals of ordinary difference equations
- Applications of the general similarity solution of the heat equation to boundary-value problems
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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