Результаты поиска по 'nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation':
Найдено статей: 2
  1. Levchenko E.A., Trifonov A.Y., Shapovalov A.V.
    Semiclassical approximation for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation
    Computer Research and Modeling, 2015, v. 7, no. 2, pp. 205-219

    Semiclassical asymptotic solutions with accuracy $O(D^{N/2})$, $N\geqslant3$ are constructed for the multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation in the class of trajectory-concentrated functions. Using the symmetry operators a countable set of asymptotic solutions with accuracy $O(D^{3/2})$ is obtained. Asymptotic solutions of two-dimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation are found in explicit
    form.

    Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, Einstein— Ehrenfest system.
    Views (last year): 4.
  2. Levchenko E.A., Trifonov A.Y., Shapovalov A.V.
    Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
    Computer Research and Modeling, 2013, v. 5, no. 4, pp. 543-558

    Asymptotic solutions are constructed for the 1D nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation. Such solutions allow to describe the quasi-steady-state patterns. Similar asymptotic solutions of the dynamical Einstein–Ehrenfest system for the 2D Fisher–Kolmogorov–Petrovskii–Piskunov equation are found. The solutions describe properties of 2D patterns localized on 1D manifolds.

    Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, pattern formation, Einstein—Ehrenfest system.
    Views (last year): 1. Citations: 3 (RSCI).

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science