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Maulik S Joshi1
Section:Research Paper, Product Type: Journal-Paper
Vol.11 ,
Issue.6 , pp.32-38, Dec-2024
Online published on Dec 31, 2024
Copyright © Maulik S Joshi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Maulik S Joshi, “Electromagnetic Radiation through an Ideal Gas and its Analytic Solution Using Fourier Transform and Greens Function,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.6, pp.32-38, 2024.
MLA Style Citation: Maulik S Joshi "Electromagnetic Radiation through an Ideal Gas and its Analytic Solution Using Fourier Transform and Greens Function." International Journal of Scientific Research in Mathematical and Statistical Sciences 11.6 (2024): 32-38.
APA Style Citation: Maulik S Joshi, (2024). Electromagnetic Radiation through an Ideal Gas and its Analytic Solution Using Fourier Transform and Greens Function. International Journal of Scientific Research in Mathematical and Statistical Sciences, 11(6), 32-38.
BibTex Style Citation:
@article{Joshi_2024,
author = {Maulik S Joshi},
title = {Electromagnetic Radiation through an Ideal Gas and its Analytic Solution Using Fourier Transform and Greens Function},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2024},
volume = {11},
Issue = {6},
month = {12},
year = {2024},
issn = {2347-2693},
pages = {32-38},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3736},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3736
TI - Electromagnetic Radiation through an Ideal Gas and its Analytic Solution Using Fourier Transform and Greens Function
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Maulik S Joshi
PY - 2024
DA - 2024/12/31
PB - IJCSE, Indore, INDIA
SP - 32-38
IS - 6
VL - 11
SN - 2347-2693
ER -
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Abstract :
This paper explores the significance of solving physical problems in an infinite domain using mathematical techniques. While physical problems are never truly infinite, discussing them in an infinite domain allows us to weaken the influence of boundaries and obtain solutions that provide valuable insights. Among various analytic approaches to solve partial differential equations, explicit solutions hold particular importance as they offer a clearer understanding of the problem.
Key-Words / Index Term :
Fourier Transform, Wave operator, Dirac delta function, Green function, Green’s formula, Electromagnetic radiation
References :
[1] Haberman R., “Elementary Applied Partial Differential Equations with Fourier series and Boundary value problems” - Prentice Hall Inc.- pp. 390-416,1983.
[2] Pinsky M.A., “Partial Differential Equations and Boundary-Value Problems with Applications”- McGraw-Hill-1998, pp. 277-343, 1998.
[3] Muhlenbruch T. , Raji W. “On the Theory of Mass Wave Forms”, First edition Springer Cham. pp 1-250,2020.
[4] Roach G F, Green’s functions- “Introductory Theory with Applications”- Van Nostrand Reinhold Company. pp.1-8,140-276,1967.
[5] Relay K. G. , Hobson M P., Bence S J.- “Mathematical methods for physics and engineering” Cambridge University Press- pp.1-120, -2006.
[6] Bracewell R N. (2000). The Fourier Transform and its applications McGraw-Hill Education , pp.1-6, 2000.
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