一类求解变系数扩散方程的交替分段显-隐式差分方法

摘要

文章利用交替分段显-隐式差分方法研究了一类一维变系数扩散方程的初边值问题 ,给出了数值求解过程 ,建立了相应的稳定性分析和截断误差估计 ,并以具体的变系数扩散方程为例 ,利用交替分段显-隐式差分格式对其进行了数值求解.数值模拟结果表明 ,该格式具有易于计算、精确度高、无条件稳定等特点.%One-dimensional diffusion equation with variable coefficients is studied by use of alternating segment explicit-implicit difference method .Numerical computation ,stability analysis and truncation error estimation processes are carried out with the specific diffusion equation ,which is solved numeri-cally based on alternating segment explicit-implicit difference scheme .The results of numerical simu-lation show the advantages of simple computation ,high precision ,absolute stability ,etc .