An Inverse Problem of Identifying Two Unknown Parameters in Parabolic Differential Equations

被引：3

作者：

Shekarpaz, S. ^{[1
]}

Azari, H. ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Dept Appl Math, Fac Math Sci, Tehran, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A4期

关键词：

Inverse problem; Parameter identification problem; Finite difference method; Integral conditions; STURM-LIOUVILLE OPERATOR; COEFFICIENTS;

D O I：

10.1007/s40995-017-0387-6

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this article, an efficient method is developed for identifying the unknown time-dependent terms in parabolic differential equations from the boundary measurements. The presented approach is based on the forward finite difference and backward finite difference methods for solving the corresponding problem which has integral conditions. Some numerical examples are presented to show the efficiency and applicability of proposed method.

引用

页码：2045 / 2052

页数：8

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