A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations

DOI10.1137/0908043zbMath0618.65122OpenAlexW1979248626MaRDI QIDQ4728187

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Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908043

zbMATH Keywords

inverse problemsdiffusion equationNewton iterationTikhonov regularizationtime-dependent coefficientNumerical examplesunknown diffusion coefficientgeneralized pulse-spectrum techniquefinite- difference approximation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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A widely convergent generalized pulse-spectrum technique for the inversion of two-dimensional acoustic wave equation ⋮ Efficiency improvement of GPST inversion algorithm ⋮ A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations ⋮ Efficient algorithm for solving inverse source problems of a nonlinear diffusion equation in microwave heating ⋮ Identification of parameters in one-dimensional IHCP ⋮ Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm ⋮ Generalized pulse-spectrum technique for 2-D and 2-phase history matching ⋮ A widely convergent method for determining the distributed parameters of the elliptical equation

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