一维抛物型方程一种新的边值问题的解法

The Solution to a New Boundary Condition Problem of 1-D Parabolic Equations

在建立目标一维热红外温度模型时,提出了热传导方程的一个新的边值问题;通过比较,选择了GE差分格式,求解方程,并进行了稳定性分析;采用虚拟网格点法处理边界条件,得出了GE格式的完整形式;计算实例表明,分组显示方法更适合此类边值问题的实际计算.

when constructing a 1-D thermal infrared temperature model,we founded a new boundary condition problem of 1-D parabolic equations;By comparison,a GE method was chosen to solve the equation and its stability analysis was presented;Then we came to an integrated GE method through dealing with the boundary conditions by means of fictitious grid points method.Finally,GE method was proved practically suitable for this kind of boundary condition problem by an example.