Approximate Solutions of the Fisher–Kolmogorov Equation in an Analytic Domain of the Complex Plane
Artykuł naukowy w czasopiśmie recenzowanyCzasopismo: Symmetry-Basel (ISSN: 2073-8994)
Współautorzy: Victor Orlov
Rok wydania: 2025
Tom: 17
Strony od-do: 1156
Streszczenie: The paper oresents the analytical construction of approximate solutions to the generalized Fisher–Kolmogorov equation in the complex domain. The existence and uniqueness of such solutions are established within an analytic domanin of the complex plane. The study employs techniques from complex function theory and introduces a modified version of the Cauchy majorant method. The principal innovation of the proposed approach, as opposed to the classical method, lies in constructing the majorant for the solution of the equation rather than for its right-hand side. A formula for calculating the analyticity radius is derived, which guarantees the absence of a movable singular point of algebraic type for the solutions under consideration. Special exact periodic solutions are found in elementary functions. Theoretical results are verified by numerical study.
Słowa kluczowe: Generalized Fisher–Kolmogorov equation, Cauchy majorant method, analyticity domain, approximation, a priori error
DOI: https://doi.org/10.3390/sym17071156
Cytowanie w formacie Bibtex:
@article{1,
author = "Aliaksandr Chychuryn and Victor Orlov",
title = "Approximate Solutions of the Fisher–Kolmogorov Equation in an Analytic Domain of the Complex Plane",
journal = "Symmetry-Basel",
year = "2025",
pages = "1156"
}
Cytowanie w formacie APA:
Chychuryn, A. and Victor Orlov(2025). Approximate Solutions of the Fisher–Kolmogorov Equation in an Analytic Domain of the Complex Plane. Symmetry-Basel, 1156.