Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one‐dimensional heat equation

DOI10.1002/mma.4245zbMath1368.93135OpenAlexW2555253958MaRDI QIDQ4977824

Bao-Zhu Guo, Zhi-Xue Zhao, Mapundi Kondwani Banda

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4245

zbMATH Keywords

inverse problemfinite difference methodtruncated singular value decompositiongeneralized cross-validationmatrix pencil method

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (5)

On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time ⋮ A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ Estimation of heat flux in two-dimensional nonhomogeneous parabolic equation based on a sufficient descent Levenberg-Marquardt algorithm ⋮ Identification of water depth and velocity potential for water waves ⋮ Recovery of dipolar sources and stability estimates

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