Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition

Neamaty, A.; Akbarpoor, Shahrbanoo

doi:10.1080/17415977.2016.1209751

Cited by 9 publications

(4 citation statements)

References 19 publications

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“…The stability of the inverse nodal problem was explored in [5,16]. Numerical solutions of the inverse nodal problem were presented in [17,22].…”

Section: Introductionmentioning

confidence: 99%

Inverse nodal problems for Dirac operators and their numerical approximations

Song,

Wang,

Akbarpoor

2023

ejde

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In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method. For more information see https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html

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“…The stability of the inverse nodal problem was explored in [5,16]. Numerical solutions of the inverse nodal problem were presented in [17,22].…”

Section: Introductionmentioning

confidence: 99%

Inverse nodal problems for Dirac operators and their numerical approximations

Song,

Wang,

Akbarpoor

2023

ejde

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“…In inverse problem, existence, uniqueness, and determination or estimation of the coefficients from the information of eigenvalues or eigenfunctions are being studied. The inverse problems related to the Sturm-Liouville problems are studied in [1,3,9,[15][16][17][18]. Third type of problems related to the Sturm-Liouville problems are isospectral problems.…”

Section: Introductionmentioning

confidence: 99%

Higher-order Sturm-Liouville problems with the Same eigenvalues

Mirzaei¹

2020

Turk J Math

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“…Sturm-Liouville problems with the boundary conditions depending on the spectral parameter were studied in order to investigate their various properties in many articles (see [1,2,[6][7][8][10][11][12][13][14][15][16][17][19][20][21][22][23]25]). The problems on the basis property of system of root functions corresponding to Sturm-Liouville problems for some differential operators which contain different forms (linearly, rationally, quadratically etc.)…”

Section: Introductionmentioning

confidence: 99%

On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition

Goktas

Maris

2020

Hacettepe Journal of Mathematics and Statistics

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The spectral problem −y ′′ + q(x)y = λy, 0 < x < 1, y(0) = 0, y ′ (0) = λ(ay(1) + by ′ (1)), is considered, where λ is a spectral parameter, q(x) ∈ L 1 (0, 1) is a complex-valued function, a and b are arbitrary complex numbers which satisfy the condition |a| + |b| ̸ = 0. We study the spectral properties (existence of eigenvalues, asymptotic formulae for eigenvalues and eigenfunctions, minimality and basicity of the system of eigenfunctions in L p (0, 1)) of the above-mentioned Sturm-Liouville problem.

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Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition

Cited by 9 publications

References 19 publications

Inverse nodal problems for Dirac operators and their numerical approximations

Inverse nodal problems for Dirac operators and their numerical approximations

Higher-order Sturm-Liouville problems with the Same eigenvalues

On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition

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