Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing

Zhou Guanglu; Wu Boying; Ji Wen; Rho Seungmin

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Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing

机译：生物计算中传感器阵列的抛物型偏微分方程的时间或空间相关系数恢复

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This study presents numerical schemes for solving a parabolic partial differential equation with a time- or space-dependent coefficient subject to an extra measurement. Through the extra measurement, the inverse problem is transformed into an equivalent nonlinear equation which is much simpler to handle. By the variational iteration method, we obtain the exact solution and the unknown coefficients. The results of numerical experiments and stable experiments imply that the variational iteration method is very suitable to solve these inverse problems.

机译：这项研究提出了一种数值方案，用于求解抛物线偏微分方程，该方程具有时间或空间相关系数，需要额外测量。通过额外的测量，反问题转化为等效的非线性方程，该方程更易于处理。通过变分迭代法，我们获得了精确解和未知系数。数值实验和稳定实验的结果表明，变分迭代法非常适合解决这些反问题。

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《Mathematical Problems in Engineering》 |2015年第7期|573932.1-573932.9|共9页
作者
Zhou Guanglu; Wu Boying; Ji Wen; Rho Seungmin;
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作者单位

Harbin Inst Technol Weihai, Dept Comp Sci, Weihai 264209, Shandong, Peoples R China.;

Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China.;

Inst Comp Technol, Beijing Key Lab Mobile Comp & Pervas Device, Beijing, Peoples R China.;

Sungkyul Univ, Dept Multimedia, Anyo 100190, Gyeonggi, South Korea.;

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1. Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing [J] . GuangluZhou, BoyingWu, WenJi, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

机译：生物计算中传感器阵列的抛物型偏微分方程的时间或空间相关系数恢复
2. Feynman formula for Schr?dinger-type equations with time- and space-dependent coefficients [J] . Plyashechnik A.S. Russian journal of mathematical physics . 2012,第3期

机译：具有随时间和空间变化的系数的薛定er型方程的费曼公式
3. Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients [J] . Vladislav V. Kravchenko, Josafath A. Otero, Sergii M. Torba Advances in Mathematical Physics . 2017,第Pta2期

机译：可变系数抛物面偏微分方程解的解析近似
4. Systolic arrays for group explicit methods for solving parabolic partial differential equations [C] . Evans, D.J., Megson, . 1988

机译：求解抛物型偏微分方程组显式方法的脉动阵列
5. Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images [D] . Valbuena Soler, Johnny. 2017

机译：变系数二阶椭圆型偏微分方程的解：一种用于计算3D图像表示的材料的有效复电特性的应用
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. Analytic approximation of solutions of parabolic partial differential equations with variable coefficients [O] . Kravchenko, Vladislav V., Otero, Josafath A., Torba, Sergii M. 2017

机译：抛物型偏微分方程解的解析逼近变系数的方程
8. Computing Science: Modeling Biological Gradient Formation: Combining Partial Differential Equations and Petri Nets. [R] . Bertens, L. M. F., Kleijn, J., Hille, S. C., 2013

机译：计算科学：模拟生物梯度形成：组合偏微分方程和petri网。

Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing

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