一维Boussinesq方程反问题与正问题的联合求解  

The United Solution for Positive and Inverse Problems of One-Dimensional Boussinesq Equation

作　　者：金裕红[1] 左雷浩 Yuhong Jin;Leihao Zuo(Department of Basic Courses, Naval University of Engineering, Wuhan Hubei)

机构地区：[1]海军工程大学基础部,湖北武汉

出　　处：《理论数学》2018年第6期650-655,共6页Pure Mathematics

摘　　要：本文通过有限差分法对一维Boussinesq方程反问题和正问题进行联合求解,求解过程中利用非线性最小二乘法进行了优化,得到的近似解与真值的基本吻合。In this paper, the inverse problem and the positive problem of the one-dimensional Boussinesq equation are solved jointly by using the finite difference method. In the solving process, the non-linear least square method is used for optimization. The approximate solution is consistent with the truth value.

关 键 词：反问题 BOUSSINESQ方程 有限差分法 非线性最小二乘法 

分 类 号：O1[理学—数学]