Numerical procedure for the determination of an unknown coefficients in parabolic equations

Afet Golayoglu Fatullayev

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Numerical procedure for the determination of an unknown coefficients in parabolic equations

机译：确定抛物线方程中未知系数的数值程序

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摘要

A numerical procedure for an inverse problem of determination of unknown coefficients in a class of parabolic differential equations is presented. The approach of the proposed method is to approximate unknown coefficients by a piecewise linear function whose coefficients are determined from the solution of minimization problem based on the overspecified data. Some numerical examples are presented.

机译：提出了求解一类抛物型微分方程中未知系数的反问题的数值程序。所提出的方法的方法是通过分段线性函数来近似未知系数，该分段线性函数的系数是根据超规定的数据从最小化问题的解中确定的。给出了一些数值示例。

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《Computer physics communications》 |2002年第1期|共5页
作者
Afet Golayoglu Fatullayev;
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正文语种 eng
中图分类计算机的应用;
关键词
parabolic equations; inverse problems; unknown coefficients; finite difference method; overspecified data;

机译：抛物线方程;反问题;系数未知;有限差分法;超标数据;

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专利

1. Numerical procedure for the determination of an unknown coefficients in parabolic equations [J] . Afet Golayoglu Fatullayev Computer physics communications . 2002,第1期

机译：确定抛物线方程中未知系数的数值程序
2. Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation [J] . Fatullayev AG Applied mathematics and computation . 2005,第3期

机译：同时确定抛物线方程中未知系数的数值程序
3. Determination of Unknown Coefficients in Parabolic Equations [J] . Shiping Zhou, Minggen Cui Journal of Heat Transfer . 2009,第11期

机译：抛物线方程中未知系数的确定
4. Numerical Algorithm for Simultaneously Determining of Unknown Coefficients in a Parabolic Equation [C] . Nizami Gasilov, Afet Golayoglu Fatullayev, Krassimir Iankov Numerical Methods and Applications; Lecture Notes in Computer Science; 4310 . 2006

机译：同时确定抛物线方程中未知系数的数值算法
5. Numerical identification of transmissivity coefficients in elliptic and parabolic equations by mollification techniques [D] . Hinestroza Gutierrez, Doris 1992

机译：椭圆和抛物线方程透射系数的变小技术数值识别。
6. PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH TIME DEPENDENT COEFFICIENTS [O] . 1957

机译：具有时间相关系数的微分方程的抛物线方程组
7. An iterative procedure for determining an unknown spacewise-dependent coefficient in a parabolic equation [O] . Golayoglu Fatullayev Afet, Cula Serpil 2009

机译：确定抛物线方程中未知的与空间有关的系数的迭代过程

Numerical procedure for the determination of an unknown coefficients in parabolic equations

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