曲阜师范大学学报（自然科学版）2018，Vol.44Issue(3)：19-24,6.DOI:10.3969/j.issn.1001-5337.2018.3.019
求解一维变系数抛物型方程的高精度数值解法
A High Accuracy Algorithm for Solving One-dimensional Variable Coefficient Parabolic Equation
摘要
Abstract
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.关键词
变系数/一维抛物方程/收敛性/稳定性/高精度Key words
variable coefficient/one-dimensional parabolic equation/convergence/stability/high accuracy分类
数理科学引用本文复制引用
刘明鼎,张艳敏,段素芳..求解一维变系数抛物型方程的高精度数值解法[J].曲阜师范大学学报（自然科学版）,2018,44(3):19-24,6.基金项目
A Project of Shandong Province Higher Educational Science and Technology Program(J15LI57,J17KB053). （J15LI57,J17KB053）
