Email this article Regularized modified α-processes for nonlinear equations with monotone operators
- Authors: Vasin V.V.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Issue: Vol 94, No 1 (2016)
- Pages: 361-364
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223946
- DOI: https://doi.org/10.1134/S1064562416040062
- ID: 223946
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Abstract
For a stable approximation of the solution to a nonlinear irregular equation with a monotone operator, a two-step method based on Lavrent’ev scheme and nonlinear regularized α-processes is constructed. These processes are shown to have a linear convergence rate when used to approximate the solution of a regularized equation. The error of the regularized solution is estimated, and the two-step method is shown to be order optimal in the well-posedness class of sourcewise representable solutions.
About the authors
V. V. Vasin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Author for correspondence.
Email: vasin@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Lenina 51, Yekaterinburg, 620000
