瞬态传导initial-boundary-value problems的分析解
Analytic solutions of initial-boundary-value problems of transient conduction using symmetries
摘要：
利用Lie对称方法求解了半无限固体中具有定表面温度或定热流条件的瞬态导热初边值问题的分析解。得到的解决方案的方式突出了系统的程序扩展的对称性方法的偏微分方程，调查偏微分方程的边值问题。对AISI 304不锈钢半无限大实心杆的热传导问题进行了数值解和封闭解的比较分析。
英文摘要：
Lie symmetry method is applied to find analytic solutions of initial-boundary-value problems of transient conduction in semi-infinite solid with constant surface temperature or constant heat flux condition. The solutions are obtained in a manner highlighting the systematic procedure of extending the symmetry method for a PDE to investigate BVPs of the PDE. A comparative analysis of numerical and closed form solutions is carried out for a physical problem of heat conduction in a semi-infinite solid bar made of AISI 304 stainless steel.
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