Numerical Modelling of Nonlinear Diffusion Phenomena on a Sphere - Simulation and Modeling Methodologies, Technologies and Application - page 61

Fig. 6. Experiment 2: numerical solution at several time moments (North pole view)

where

∂t = c 1 cos ϕ θ 2 γ cos ξ tan κ 2 ϕ cos γt cos 2 t − sin ξ sin 2 t ,
∂T
∂λ = c 1 ω cos ϕ cos 2 t cos ξ,
∂ 2 T
∂λ 2 = −c 1 ω 2 cos ϕ cos 2 t sin ξ,

∂T