An inverse polynomial method for the identification of the leading coefficient in the Sturm-Liouville operator from boundary measurements.

DOI10.1016/S0096-3003(02)00248-5zbMath1042.65057MaRDI QIDQ1406273

Alemdar Hasanov

Publication date: 9 September 2003

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

zbMATH Keywords

numerical examplesidentification problemSturm-Liouville operatorapproximate analytical solutionill-conditioned situationsinverse polynomial methodinverseproblem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (10)

The determination of the leading coefficient in the monotone potential Sturm-Liouville operator from boundary measurements ⋮ Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method ⋮ Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential ⋮ An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data ⋮ Positive definite solution of the matrix equation \(X=Q+A^{H}(I\otimes X-C)^{\delta}A\) ⋮ Error analysis of a multisingular inverse coefficient problem for the Sturm-Liouville operator based on boundary measurement. ⋮ On the positive operator solutions to an operator equation ⋮ Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ Solving a nonlinear inverse Sturm–Liouville problem with nonlinear convective term using a boundary functional method ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

Cites Work

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• Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. I: A stripping algorithm
• Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. II: Unicity and an engineering approach.
• Determining conductivity by boundary measurements
• An Inverse Problem for the Steady State Diffusion Equation
• Coefficient identification in some partial differential equations from partial boundary measurements
• Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation
• Solution of an inverse coefficient problem for an ordinary differential equation

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