The Numerical Solution of an Inverse Problem for a Class of One-Dimensional Diffusion Equations with Piecewise Constant Coefficients

DOI10.1137/0152024zbMath0747.35054OpenAlexW2090989589MaRDI QIDQ4009467

Claudia Giordana, M. Mochi, Francesco Zirilli

Publication date: 27 September 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152024

zbMATH Keywords

Fourier transformLaplace transformquasi-Newton methodnonlinear optimization problemleast-squares formulationinstationary diffusion equationone-point homogeneous Neumann boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Numerical methods for ill-posed problems for integral equations (65R30) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (2)

Inverse problem for a class of two-dimensional diffusion equations with piecewise constant coefficients ⋮ Inverse problem for a class of one-dimensional wave equations with piecewise constant coefficients

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