Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data

DOI10.1016/J.CAM.2016.09.029zbMath1353.65100OpenAlexW2538939746MaRDI QIDQ344293

Fadi Awawdeh, Ali Jaradat, Mohd. Salmi Md. Noorani

Publication date: 22 November 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.09.029

zbMATH Keywords

algorithmstabilitynumerical exampleidentification problemerror estimatesemigroup theoryinverse source problemhomotopy analysis methodabstract heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation ⋮ Splitting method for an inverse source problem in parabolic differential equations: Error analysis and applications

Uses Software

• BVPh

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