具异号非线性源项的热方程淬火解和仿真

Quenching Solution for Nonlinear Heat Equation with Opposite Absorption Sources and Its Simulation

该文研究了一类具异号非线性源项的反应扩散方程的初边值问题.得到了该问题的淬火现象,并且估计了其淬火时间.进一步地,利用MATLAB对淬火现象进行仿真.

In this paper, we consider initial boundary value problems for a class of nonlinear reaction-diffusion equations with both a positive and negative absorption sources. We obtain the quenching phenomenon of the above problem, and estimate its quenching time. Further, we simulate by the MATLAB.