In this paper, we study a nonlinear diffusion equation (φ (u)) _ {t}= u_ {xx}, 0< x< a, t> 0 with
singular boundary outfluxes u_ {x}(0, t)= u^{-p}(0, t), u_ {x}(a, t)=-u^{-q}(a, t). Firstly, we get …

A quenching phenomenon of a degenerate parabolic equation with nonlinear source and
singular boundary condition in one-dimensional space is investigated. We establish the …

In this paper, the quenching behavior of the non-Newtonian filtration equation $(\phi (u)) _
{t}=(\left\vert u_ {x}\right\vert^{r-2} u_ {x}) _ {x} $ with singular boundary conditions, $ u …

This paper studies the following two porous medium equations with singular boundary
conditions. First, we obtain that finite time quenching on the boundary, as well as $ k_ {t} …

In this paper, we study the numerical methods for solving a nonlinear reaction-diffusion
model for the polarization phenomena in ionic conductors. In particular, we propose three …