The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line
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DOI: 10.1002/mma.5854
Abstract: The inverse Sturm‐Liouville problem on a half‐line is considered. With the aid of a Fourier‐Legendre series representation of the transmutation integral kernel and the Gel'fand‐Levitan equation, the numerical solution of the problem is reduced to… read more here.
Keywords: half line; inverse sturm; problem; problem half ... See more keywords
Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition
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DOI: 10.1002/mma.7375
Abstract: there exists a unique function q̃ ∈ L2(0, π) such that ω = ?̃? and {K̃,Ñ} are the Cauchy data of q̃.” The reason of condition (*) is that the Cauchy data are related with… read more here.
Keywords: stability inverse; inverse sturm; solvability stability; condition ... See more keywords
Solving Symmetric Inverse Sturm–Liouville Problem Using Chebyshev Polynomials
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DOI: 10.1007/s00009-019-1330-1
Abstract: In this study, we consider Sturm–Liouville equation having a symmetric potential function under the separated boundary conditions on a finite interval. Then, we use Chebyshev polynomials of the first kind for calculating the approximate solution… read more here.
Keywords: liouville; liouville problem; sturm liouville; inverse sturm ... See more keywords
Partial Inverse Sturm-Liouville Problems
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DOI: 10.3390/math11102408
Abstract: This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the… read more here.
Keywords: inverse problems; inverse sturm; partial inverse; liouville problems ... See more keywords