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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2227-7390/10/22/4204/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2022
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Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem

descriptionPublicationkeyboard_double_arrow_right Article 10 Nov 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 4,204 (eissn: 2227-7390, Copyright policy )
Authors: Yong Tang; Haoze Ni; Fei Song; Yuping Wang;

doi: 10.3390/math10224204

Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem

Abstract

In this paper, we study inverse nodal problems for a boundary value problem. A uniqueness result for the potential function and a reconstruction method are obtained. By using the nodal points as input data, we compute the approximation solution of the potential function for the boundary value problem by the first kind Chebyshev wavelet method. Two numerical examples show that the first kind Chebyshev wavelet method for solving the inverse nodal problems for the boundary value problem is valid.

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Keywords

Chebyshev wavelet, inverse nodal problem, potential function, boundary value problem, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold