A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition

被引：10
作者：
Hajishafieiha, J. [1 ]
Abbasbandy, S. [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Appl Math, Qazvin 3414916818, Iran
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2020年 / 28卷 / 05期
关键词：
Inverse problem; nonlocal boundary condition; time-dependent diffusion coefficient; collocation method; source problem; COEFFICIENT IDENTIFICATION; EQUATION;
D O I：
10.1080/17415977.2019.1696326
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a new method is used based on polynomials equipped with a parameter to solve two parabolic inverse problems. These inverse problems have nonlocal boundary conditions and over-determination of data that make it difficult to solve these problems. In this method, we use the combination of the finite difference method and the finite element method. In each point , a nonlinear equation system is solved via the least-squares method, and then, we obtain an approximate function for the solution of the problem by using the interpolation of these points.
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页码：739 / 753
页数：15
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