Using the energy estimation method,the continuous dependence of the solution of a kind of heat conduction equation to the initial data is analyzed.The PDE Toolbox of Matlab is used to solve a special kind of heat conduction equation.Through the numerical simulation,we observe the change of the temper-ature field distribution and gradient direction,which shows that the molecules are heated first near the heat source side,the temperature flows from high side to low side,and the whole temperature field gradu-ally tends to be steady after a period of time.
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