热传导方程的高精度三次样条差分格式

A Cubic-Spline Difference Scheme of Higher Order Accuracy for Heat Conduction Equation

基于一种三次样条四阶差分公式 ,提出了一种数值求解非齐次热传导方程的两层三结点高精度差分格式 .通过数值算例验证了格式的优良性态 .

Based on cubic-spline difference formula ,a two-level higher order a ccurate finit-difference scheme using three spatial mesh points are proposed in this paper for the inhomgoneous heat conduction equation.Numerical example is given to illustreat behavior of the present scheme.