摘要
对于热传导方程给出了两个高精度差分格式 ,一个是显格式 ,稳定条件为 0 <r<16,另一个是绝对稳定的隐格式 .
Two high accuracy difference schemes for solving heatconduction equation are established. The order of the discretization error is o( Δx 6 ). One is an explicit scheme with seven points in three layers,the stability condition of which is 0< r <16; the other is an implicit scheme with none points in three layers and its stability condition is r >0.
基金
山东省自然科学基金
关键词
热传导方程
关芬格式
逼近误差
Heat conduction equations
Difference schemes
Approximate error
