Solution of a parabolic equation with a time-dependent coefficient and an extra measurement using the decomposition procedure of adomian

Dehghan M; Tatari M

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Solution of a parabolic equation with a time-dependent coefficient and an extra measurement using the decomposition procedure of adomian

机译：使用阿德曼分解程序求解具有时变系数和额外度量的抛物线方程

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In this work we consider an inverse problem of finding an unknown time-dependent parameter in one-dimensional parabolic equations. This problem appears widely in modeling of several phenomena in physics and engineering. Adomian decomposition method is applied for finding the solution of this problem. The decomposition procedure of Adomian is a powerful tool for solving various kinds of linear and nonlinear problems. To show the efficiency of the technique, we will present the results of applying this method to two problems from the literature and compare it with some well known finite difference schemes.

机译：在这项工作中，我们考虑在一维抛物线方程中找到未知的时变参数的反问题。这个问题在物理和工程学中的几种现象的建模中普遍出现。阿曼分解法用于解决该问题。 Adomian的分解过程是解决各种线性和非线性问题的有力工具。为了展示该技术的有效性，我们将介绍将该方法应用于文献中的两个问题的结果，并将其与一些众所周知的有限差分方案进行比较。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2005年第6期|共7页
作者
Dehghan M; Tatari M;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
PARTIAL-DIFFERENTIAL-EQUATION; NONLINEAR OPERATORS; INVERSE PROBLEM; CONVERGENCE; UNIQUENESS; PARAMETER; EXISTENCE;

机译：偏微分方程;非线性算子;反问题;收敛;唯一性;参数;存在;

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专利

1. Solution of a parabolic equation with a time-dependent coefficient and an extra measurement using the decomposition procedure of adomian [J] . Dehghan M, Tatari M Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2005,第6期

机译：使用阿德曼分解程序求解具有时变系数和额外度量的抛物线方程
2. The Adomian decomposition method for the approximate solution of homogeneous differential equations with dual variable and dual coefficients [J] . VEDAT ASIL, HASAN BULUT, D. J. EVANS International journal of computer mathematics . 2005,第8期

机译：双变量双系数齐次微分方程近似解的Adomian分解方法
3. Domain Decomposition Method Modified by Characteristic Finite Element Procedure for System of Parabolic Equations with Discontinuous Coefficients [J] . Luo Chang 高等学校计算数学学报（英文版） . 2006,第004期

机译：区间抛物型方程组特征有限元修正的区域分解法。
4. Analytical solution of non-constant coefficients fractional differential equation by Adomian decomposition method [C] . Yizheng Hu Control and Decision Conference (CCDC), 2012 24th Chinese . 2012

机译：非恒定系数分数阶微分方程的Adomian分解解析解
5. A THREE-DIMENSIONAL DOMAIN DECOMPOSITION ALGORITHM FOR THE NUMERICAL SOLUTION OF ELLIPTIC AND PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS [D] . KILLOUGH, JOHN EDWIN. 1986

机译：椭圆形和抛物线局部微分方程数值解的三维域分解算法
6. PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS [O] . Felix E. Browder 1956

机译：时滞系数微分方程的抛物线方程组
7. The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement [O] . Lakestani Mehrdad, Dehghan Mehdi 2010

机译：Chebyshev基数函数用于求解具有未知时变系数的偏微分方程的解，需要进行额外的测量

Solution of a parabolic equation with a time-dependent coefficient and an extra measurement using the decomposition procedure of adomian

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