To numerical solution of the non-divergent diffusion equation in non-homogeneous medium with source or absorption
Мерсаид АриповNational University of Uzbekistan, Tashkent, UzbekistanMakhmud BobokandovNational University of Uzbekistan, Tashkent, UzbekistanMuyassar MamatkulovaNational University of Uzbekistan, Tashkent, Uzbekistan
ABI
Аннотация
In the domain Q={(t, x) : t ≥ t0>0, x ∈ ℝN}, we study the following Cauchy problem to the double nonlinear parabolic equation not in divergence form with source or absorption: ∂tu=uq∇(|x|num−1|∇uk|p−2∇u)+εtλuβ, (t,x)∈Q,(1) u(t,x)|t=t0=u0(x)≥0, x∈ℝN, (2)
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