Exact Solutions of the Nonlinear Fin Problem with Temperature-dependent Coefficients
- 10.2991/jnmp.k.200923.001How to use a DOI?
- Fin equation with variable coefficients; Lie symmetries; λ-symmetries; boundary-value problems; exact solutions; linearization methods; Lagrangian and Hamiltonian
The analytical solutions of a nonlinear fin problem with variable thermal conductivity and heat transfer coefficients are investigated by considering theory of Lie groups and its relations with λ-symmetries and Prelle-Singer procedure. Additionally, the classification problem with respect to different choices of thermal conductivity and heat transfer coefficient functions is carried out. In addition, Lagrangian and Hamiltonian forms related to the problem are investigated. Furthermore, the exact analytical solutions of boundary-value problems for the nonlinear fin equation are obtained and represented graphically.
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Cite this article
TY - JOUR AU - Özlem Orhan AU - Teoman Özer PY - 2020 DA - 2020/12/10 TI - Exact Solutions of the Nonlinear Fin Problem with Temperature-dependent Coefficients JO - Journal of Nonlinear Mathematical Physics SP - 150 EP - 170 VL - 28 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.200923.001 DO - 10.2991/jnmp.k.200923.001 ID - Orhan2020 ER -