EXTENDED FISHER-KOLMOGOROV EQUATION WITH SINGULARITIES IN THE COMPLEX DOMAIN

Victor Orlov; Alexander Chichurin

doi:10.11948/20250066

2026 Volume 16 Issue 3

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Victor Orlov, Alexander Chichurin. EXTENDED FISHER-KOLMOGOROV EQUATION WITH SINGULARITIES IN THE COMPLEX DOMAIN[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1355-1366. doi: 10.11948/20250066

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Victor Orlov, Alexander Chichurin. EXTENDED FISHER-KOLMOGOROV EQUATION WITH SINGULARITIES IN THE COMPLEX DOMAIN[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1355-1366. doi: 10.11948/20250066

EXTENDED FISHER-KOLMOGOROV EQUATION WITH SINGULARITIES IN THE COMPLEX DOMAIN

Victor Orlov^1,,
Alexander Chichurin^2, ,

1.
Department of Higher Mathematics, Moscow State University of Civil Engineering, Yaroslavskoe Shosse, 26, 129337 Moscow, Russia
2.
Department of Mathematical Modeling, The John Paul Ⅱ Catholic University of Lublin, Konstantynów 1H, 20-708 Lublin, Poland

Author Bio: Email: OrlovVN@mgsu.ru(V. Orlov)
Corresponding author: Email: achichurin@kul.pl(A. Chichurin)

Abstract

Abstract

In the article, the extended nonlinear differential Fisher-Kolmogorov equation in the complex domain is considered. Its stationary solutions are investigated for existence of a movable singular point of the algebraic type. The theorem of the existence of a movable singular point, and uniqueness of a solution in the neighborhood of such a point is proved. An analytical approximate solution is constructed, and the error of the found solution is estimated in analytical form, its numerical study is carried out. The absence of such a singular point in the real domain is demonstrated. A special approach for optimizing the error is proposed.
- Extended Fisher-Kolmogorov equation /
- movable singular point /
- a priori estimate /
- analytical approximate solution
MSC: 34A12, 34A25, 34A34, 34M35

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References

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