【摘要】 考虑一类抛物型偏微分方程的自由边界问题,在进行边界拉直坐标变换后,用泰勒级数展开方法给出该问题数值解的求解过程,这一数值方法计算量小.通过一个具体数值算例对所求的数值解和前人已经获得的解析解进行误差比较,发现其效果理想.更多还原

【Abstract】 This paper deals with a free boundary problem of parabolic partial differential equations.Numerical computation is carried out by using a transformation of variables and Taylor series methods.It is shown that the method with little amount of computation is feasible by comparing the numerical result with the exact solution.更多还原