【摘要】 讨论了用微分方程数值解法计算锥体电阻时,不适当的侧面边界条件差分格式所引入的附加误差问题.通过对不同差分格式的理论分析及实际计算效果对比发现,在侧面边界上,如忽略轴对称准三维问题与二维问题的差异,则所用边界条件的差分格式会引入明显的附加误差.讨论了适用于类似的锥形体上微分方程的求解,给出了处理锥体侧面边界条件时较适用的差分格式.与直接用差分代替微分产生的差分格式相比,在网络数相同的情况下能得到较精确的数值解.更多还原

【Abstract】 This paper investigates the problem that the difference format of lateral boundary can poduce an additional error when the numerical calculation method of the differential equation is used to solve the resistance of the cone conductor. A comparison of the calculation results of different formats shows that on the lateral boundary, if the divergence between axial symmetry quasi three dimension and real three dimension is neglected, the divergence format will produce an additional error that is prominent under some conditions. This paper also gives a very suitable difference format about the problem.更多还原