求解一维热传导方程的一种半离散差分格式

The Semi-discrete Finite Difference Method for Solving One Dimensional Heat Equation

文章对求解一维热传导方程利用半离散的方法转化为一系列的常微分方程组,然后通过常微分方程的求解方法来求解热传导方程,讨论了稳定性,做了数值实验,数值实验的结果表明此方法具有收敛速度快,绝对稳定的特点,是求解热传导方程的有效方法之一.

This paper using Semi-discrete methods, the heat equation transformed into a large series of ODES, using ODES solving method this problem and discussed stability doing numerical experiment. Numerical experiments proved that our method useful efficient method for solving linear One Dimensional Heat Equation