Estimate of Accuracy of Solution of the Nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov Equation

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Abstract

The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.

Original languageEnglish
Pages (from-to)1425-1433
Number of pages9
JournalRussian Physics Journal
Volume55
Issue number12
DOIs
Publication statusPublished - 1 May 2013

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estimates
norms
intervals

Keywords

  • discrepancy of the asymptotic solution
  • Fisher-Kolmogorov-Petrovskii-Piskunov equation
  • semiclassical asymptotics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Estimate of Accuracy of Solution of the Nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov Equation",
abstract = "The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.",
keywords = "discrepancy of the asymptotic solution, Fisher-Kolmogorov-Petrovskii-Piskunov equation, semiclassical asymptotics",
author = "Levchenko, {Evgeniy Anatolievich} and Trifonov, {A. Yu} and Shapovalov, {Aleksandr Vasilievich}",
year = "2013",
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AU - Levchenko, Evgeniy Anatolievich

AU - Trifonov, A. Yu

AU - Shapovalov, Aleksandr Vasilievich

PY - 2013/5/1

Y1 - 2013/5/1

N2 - The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.

AB - The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.

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KW - semiclassical asymptotics

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