高维抛物型方程的加耗散项差分格式  

Difference Schemes with the Addition of Dissipation Term for Solving Parabolic Equation in Multi-dimension

作　　者：田朝薇[1] 曾文平[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《漳州师范学院学报（自然科学版）》2003年第2期20-24,共5页Journal of ZhangZhou Teachers College（Natural Science)

摘　　要：本文利用加耗散项的方法,建立了高维抛物型方程的若干恒稳的三层显式差分格式,推广了文[1]的结果.并用数值例子表明这些格式是有效的.By using the addition of dissipation term, the author establishes some three-layer explicit difference schemes for solving parabolic equation in multi-dimension, these schemes are absolutely stable , which extend the results of paper [1] .They are shown by numerical examples to be effective .

关 键 词：高维抛物型方程 耗散项 稳定性 三层显式差分格式 偏微分方程 

分 类 号：O175.26[理学—数学] O241.3[理学—基础数学]