第二型边界条件下抛物型方程反问题的变分迭代解法  

Variational Iteration Method for Solving an Inverse Problem of Parabolic Equation with Neumann Boundary Conditions

作　　者：黄得建[1] 李艳青[1] 

机构地区：[1]琼州学院数学系,海南三亚572022

出　　处：《琼州学院学报》2015年第5期13-16,共4页Journal of Qiongzhou University

基　　金：琼州学院青年教师科研基金项目(QYQN201519);琼州学院青年教师科研基金项目(QYQN201520)

摘　　要：应用变分迭代法研究了第二边值条件下抛物型偏微分方程反问题的数值解法,得到抛物型偏微分方程反问题中的两个未知参数和方程的精确解,并通过例子说明这种方法的有效性.In the current research,the variational iteration method was used to study the exact solution of an inverse parabolic problem with Neumann boundary conditions. Consequently,obtained are the exact solution and two unknown parameters of the parabolic partial difference equation. To show the efficiency of the present method,one interesting example is presented.

关 键 词：变分迭代法 反抛物型方程 第二型边界条件 拉格朗日乘子 未知参数 

分 类 号：O241[理学—计算数学]