求解一维变系数抛物型方程的高精度数值解法

摘要

给出了求解变系数一维抛物型方程的高精度数值级数解法,其特点是通过在离散后的网格节点处先将数值解用级数进行表示并求解.通过数值算例验证该方法是收敛和稳定的,并且具有很高的精度,因此数值级数解法是一个实用的方法.%A high accuracy numerical method to solve the one-dimensional variable coefficients parabolic equation.The feature of this method is to use series express numerical solutions at each mesh point.A numerical example shows that this method has not only convergence and stability,but also higher accuracy.So the numerical method is a practical method.