Convergence regarding EM schemes over neutral type SFDEs at space Cu with undetermined delay

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Authors: Hussein K. Asker, Hassan K. Ismail, Mohammed T. Kahnger, Layla Hendi
Cited by: 0

Abstract

This work investigates the convergence of the EM approximation for neutral-type stochastic FDEs with infinite delay in the space Cu. To ensure numerical accuracy and stability for systems with memory effects, we extend the analysis to demonstrate the squared mean convergence of the EM scheme to the exact solution under Lipschitz conditions. Asker’s work on distribution stability is expanded upon here. A numerical illustration of the impact of time step size on accuracy empirically supported the theoretical conclusions.

Fields of Study & Subjects

Numerical methods for differential equations Nonlinear Differential Equations Analysis Fuzzy Systems and Optimization

Publication details

Journal / source
Journal of Interdisciplinary Mathematics
Volume
29
Issue
1
Pages
137–137
Publication date
1 January 2026