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- Title
The Maximum Domain for an Analytical Approximate Solution to a Nonlinear Differential Equation in the Neighborhood of a Moving Singular Point.
- Authors
Orlov, Victor; Gasanov, Magomedyusuf
- Abstract
This paper presents the final stage in the study of the analytical approximate solution to a class of nonlinear differential equations unsolvable in quadrature in the general case in the neighborhood of a perturbed value of a moving singular point. An a priori error estimation is proven. The scope of application of the analytical approximate solution is extended; the formula for calculating this scope is obtained. The proof of the theorem is based on the application of elements of differential calculus. Theoretical results are supported by numerical calculations, which validate their reliability. The authors report a numerical comparison between the results, obtained in the paper, and the findings that were published earlier.
- Subjects
NONLINEAR differential equations; ANALYTICAL solutions; DIFFERENTIAL calculus; NEIGHBORHOODS; NUMERICAL calculations
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 9, p844
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12090844