Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method

Yu Ping Wang; Shahrbanoo Akbarpoor Kiasary; Emrah Yılmaz

Applications of Mathematics (2024)

  • Volume: 69, Issue: 3, page 339-354
  • ISSN: 0862-7940

Abstract

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We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.

How to cite

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Wang, Yu Ping, Akbarpoor Kiasary, Shahrbanoo, and Yılmaz, Emrah. "Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method." Applications of Mathematics 69.3 (2024): 339-354. <http://eudml.org/doc/299344>.

@article{Wang2024,
abstract = {We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.},
author = {Wang, Yu Ping, Akbarpoor Kiasary, Shahrbanoo, Yılmaz, Emrah},
journal = {Applications of Mathematics},
keywords = {Sturm-Liouville equation; inverse nodal problem; Frozen argument; nodal parameters; SCW method},
language = {eng},
number = {3},
pages = {339-354},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method},
url = {http://eudml.org/doc/299344},
volume = {69},
year = {2024},
}

TY - JOUR
AU - Wang, Yu Ping
AU - Akbarpoor Kiasary, Shahrbanoo
AU - Yılmaz, Emrah
TI - Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 339
EP - 354
AB - We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
LA - eng
KW - Sturm-Liouville equation; inverse nodal problem; Frozen argument; nodal parameters; SCW method
UR - http://eudml.org/doc/299344
ER -

References

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