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

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 ha...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 9
Main Authors Rho, Seungmin, Ji, Wen, Wu, Boying, Zhou, Guanglu
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
John Wiley & Sons, Inc
Subjects
Approximation
Biological computing
Boundary conditions
Coefficients
Equivalence
Exact solutions
Inverse problems
Iterative methods
Lagrange multiplier
Mathematical analysis
Mathematical models
Mathematical problems
Methods
Nonlinear equations
Numerical analysis
Parabolic differential equations
Partial differential equations
Sensor arrays
Time dependence
Time measurement
Beijing China
China
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Summary: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.
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SourceType-Scholarly Journals-1
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ISSN:1024-123X
1563-5147
DOI:10.1155/2015/573932