Numerical Reconstruction of Potentials Based on a Sequence of Inverse Sturm–Liouville Problems

DOI10.1142/S0219876217500438zbMath1404.65072OpenAlexW2541039417MaRDI QIDQ4564984

Erin Leigh Fagan, Mihaela-Cristina Drignei

Publication date: 7 June 2018

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876217500438

zbMATH Keywords

Neumann boundary conditionsGoursat problemCauchy dataDirichletRobininverse Sturm-Liouville problemthree spectra

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (1)

A Numerical Algorithm for a Coupled Hyperbolic Boundary Value Problem

Uses Software

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Cites Work

• THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION
• Numerical reconstruction in a three-spectra inverse Sturm–Liouville problem with mixed boundary conditions
• AN EFFICIENT NUMERICAL METHOD FOR SOLVING AN INVERSE WAVE PROBLEM
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Constructibility of an L^2_{{\bb R}}(0\hbox{, }a) solution to an inverse Sturm–Liouville problem using three Dirichlet spectra
• An introduction to the mathematical theory of inverse problems

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