对流扩散方程逆过程反问题的光滑迭代数值解法  

Smooth iterative numerical solution about inverse problem in reverse process of convection-diffusion equation

作　　者：张静[1] 李俊芳[2] 

机构地区：[1]天津职业大学继续教育学院,天津300410 [2]天津理工大学自动化学院,天津300384

出　　处：《天津理工大学学报》2010年第6期82-85,共4页Journal of Tianjin University of Technology

摘　　要：针对对流扩散方程逆过程反问题是不适定问题,利用分离变量的方法将该问题转化为第一类Fredholm积分方程,并借助于Phillips光滑迭代方法进行求解,该算法避免了因选择光滑化参数不同而导致所得结果有较大变化的情况,数值试验模拟结果表明有较好的精度.The inverse problem in reverse process of convection-diffusion equation is an ill-posed problem,variable separation method is used to make the problem turn to solve Fredholm integral equations of the fist kind.Then Phillips smooth iterative method is available to solve the problem.The results of numerical simulation show this method can avoid the results which have larger change because of different smooth parameter and have high accuracy.

关 键 词：对流扩散方程 反问题 不适定问题 光滑迭代法 

分 类 号：O241.8[理学—计算数学]