Fourier collocation algorithm for identifying the spacewise-dependent source in the advection-diffusion equation from boundary data measurements

DOI10.1016/j.apnum.2015.05.005zbMath1329.65211OpenAlexW996512607MaRDI QIDQ493982

Balgaisha Mukanova, Alemdar Hasanov

Publication date: 7 September 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.05.005

zbMATH Keywords

advection-diffusion equationFourier collocation algorithmsource identification problemboundary data measurementnumerical filtering

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (9)

Identification of a space- and time-dependent source in a variable coefficient advection-diffusion equation from Dirichlet and Neumann boundary measured outputs ⋮ An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems ⋮ Dispersion–current adjoint functions for monitoring accidental sources in 3D transport equations ⋮ Fourier collocation algorithm for identification of a spacewise dependent source in wave equation from Neumann-type measured data ⋮ A reliable numerical algorithm for fractional advection-dispersion equation arising in contaminant transport through porous media ⋮ Jacobi collocation method for the fractional advection‐dispersion equation arising in porous media ⋮ Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data ⋮ Detection and identification of multiple unknown time-dependent point sources occurring in 1D evolution transport equations ⋮ Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks

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