Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 168-173.

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

Niu Yi1,2, Peng Xiuyan2, Wang Xingchang2, Yu Tao3, Yang Yanbing3   

  1. 1. School of information science and engineering, Shandong Normal University, Jinan 250001;
    2. College of Automation, Harbin Engineering University, Harbin 150001;
    3. College of Science, Harbin Engineering University, Harbin 150001
  • Received:2016-06-06 Revised:2017-06-12 Online:2018-02-26 Published:2018-02-26
  • Supported by:
    Supported by the NSFC(61503091)

Abstract: 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.

Key words: Reaction-diffusion equation, Dirichlet boundary, Quenching time, Simulate

CLC Number: 

  • O175.2
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