Transient Heat Diffusion with Temperature-Dependent Conductivity and Time-Dependent Heat Transfer Coefficient

Table 1

Extra-admitted symmetries.

Constants	Symmetries
𝑚=3𝑛+4𝑛+2	Γ4=𝑟^(−2−2𝑛)/(2+𝑛)𝜕2𝑛(𝑛+1){(2𝑛+4)𝜃𝜕𝜃−(𝑛^2𝜕+4𝑛+4)𝑟}𝜕𝑟
𝑚=1,𝑛=−1	Γ4𝜕=−2(log𝑟+1)𝜃𝜕𝜕𝜃+𝑟log𝑟𝜕𝑟
𝑚=0	Γ4=𝜕𝜕𝑟
4𝑚=0,𝑛=−3	Γ5𝜕=−3𝜃𝑟𝜕𝜕𝜃+𝑟𝜕𝑟