Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. I: A stripping algorithm

DOI10.1016/S0096-3003(00)00104-1zbMath1032.65078MaRDI QIDQ1855106

Alemdar Hasanov, Zahir Muradoglu Seyidmamedov

Publication date: 28 January 2003

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

zbMATH Keywords

inverse problemnumerical examplesSturm-Liouville operatorboundary measurementsstripping algorithmTikhonov's quasi-solution

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (9)

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 polynomial method for the identification of the leading coefficient in the Sturm-Liouville operator from boundary measurements. ⋮ An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data ⋮ Error analysis of a multisingular inverse coefficient problem for the Sturm-Liouville operator based on boundary measurement. ⋮ Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. II: Unicity and an engineering approach. ⋮ Simulation of ill-conditioned situations in inverse coefficient problem for the Sturm-Liouville operator based on boundary measurements ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

Cites Work

• An inverse problem for a Sturm-Liouville operator
• On the determination of a differential equation from its spectral function
• Stability theory of difference schemes and iterative methods
• The determination of multiple coefficients in a second-order differential equation from input sources
• Inverse coefficient problems for monotone potential operators
• Solution of an inverse coefficient problem for an ordinary differential equation
• The inverse sturm‐liouville problem
• Equivalent Norms for Sobolev Spaces

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