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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 5, paper published in the English version journal (Mi zvmmf11759)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

A Shannon wavelet-based approximation scheme for Thomas–Fermi models of confined atoms and ions

Sharda Kumari, Pratik Majhi, M. M. Panja

Department of Mathematics, Visva-Bharati (A central University), 731235, Santiniketan, West Bengal, India
Citations (1)
Abstract: An efficient numerical scheme based on the Shannon wavelet basis has been presented here for obtaining highly accurate approximate solutions of Thomas–Fermi equations (TFE) in the finite domain with various initial/boundary conditions (IC/BCs). A point transformation followed by a finite Whittaker Cardinal function approximation (FWCFA) is employed here. The formula relating exponent $n$ in the desired order of accuracy $(O(10^{-n}))$ with the resolution $J$, the lower and upper limits in the sum of FWCFA have been provided. Examples of TFE with various IC/BCs have been exercised to exhibit the elegance and efficiency of the present scheme.
Key words: Thomas–Fermi equations in the finite domain, compressed or confined atoms, statistical model for charge densities, Dirichlet’s, Neumann’s, Robin’s boundary conditions, Shannon wavelets, Whittaker Cardinal function approximation.
Funding agency Grant number
University Grants Commission 201610060819(SK)
201610135966
This work is supported by the research grant of UGC (Fellowship Nos. 201610060819(SK) and 201610135966 (PM)), Govt. of India.
Received: 02.11.2023
Revised: 02.11.2023
Accepted: 13.06.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 5, Pages 918–940
DOI: https://doi.org/10.1134/S0965542524700350
Document Type: Article
Language: English
Citation: Sharda Kumari, Pratik Majhi, M. M. Panja, “A Shannon wavelet-based approximation scheme for Thomas–Fermi models of confined atoms and ions”, Comput. Math. Math. Phys., 64:5 (2024), 918–940
Citation in format AMSBIB
\Bibitem{KumMajPan24}
\by Sharda~Kumari, Pratik~Majhi, M.~M.~Panja
\paper A Shannon wavelet-based approximation scheme for Thomas--Fermi models of confined atoms and ions
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 5
\pages 918--940
\mathnet{http://mi.mathnet.ru/zvmmf11759}
\crossref{https://doi.org/10.1134/S0965542524700350}
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