ABSTRACT
In this paper, the interaction among diffusion, reaction, release and absorption at the boundaries for a heat conduction problem in a bar with a nonlinear absorption source term and with nonlinear release boundary condition at one end and nonlinear absorption boundary condition at another end, namely, the following problem () u t − D u x x = − u m , 0 < x < 1 , t > 0 , u x ( 0 , t ) = u p ( 0 , t ) , t > 0 , u x ( 1 , t ) = u q ( 1 , t ) , t > 0 , u ( x , 0 ) = u 0 ( x ) ≥ σ > 0 , 0 ≤ x ≤ 1 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq4687.tif"/>
