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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 3, Pages 373–381
DOI: https://doi.org/10.31857/S0044466921030145 (Mi zvmmf11206) 		 
This article is cited in 5 scientific papers (total in 5 papers)

General numerical methods

Difference schemes based on the Laguerre transform

A. F. Mastryukov

Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
Citations (5)
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DOI: https://doi.org/10.31857/S0044466921030145
Abstract: Optimal difference schemes based on the Laguerre transform are proposed for solving the wave equation. Additional parameters are introduced into the difference scheme used for the equations of harmonics. Numerical values of these parameters are obtained by minimizing the error in the difference approximation of the Helmholtz equation. The optimal parameter values thus obtained are used to construct optimal difference schemes. Optimal difference schemes of second- and fourth-order accuracy are considered. The optimal parameters of the difference schemes are presented. Their values depend only on the ratio of the spatial step sizes. It is shown that the use of optimal difference schemes improves the accuracy of solutions. The efficiency of the algorithm is enhanced by applying a simple modification of the difference scheme.
Key words: finite-difference method, optimal, accuracy, electromagnetic waves, Laguerre method.
Received: 30.01.2020
Revised: 30.07.2020
Accepted: 18.11.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 3, Pages 351–358
DOI: https://doi.org/10.1134/S0965542521030131
Bibliographic databases:
Document Type: Article
UDC: 550.834
Language: Russian
Citation: A. F. Mastryukov, “Difference schemes based on the Laguerre transform”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 373–381; Comput. Math. Math. Phys., 61:3 (2021), 351–358
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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