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Bulletin of the Bishkek State University
ISSN 1694-8386 e-ISSN 1694-8394
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5 Articles
65 Views
M. Karynbaeva
BSU named after K. Karasaev
ASYMPTOTIC EXPANSIONS OF SOLUTIONS TO NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER
22.11.2024
Zh.K. Turkmanov,
M. Karynbaeva
Keywords
asymptotic expansions, nonlinear equations, ordinary differential equations, small parameter, singular perturbations, boundary layers, parameterization, asymptotic analysis, solution behavior, Lighthill, Prandtl-Tikhonov
DOI
https://doi.org/10.35254/bsu/2024.69.35
THE EFFECTIVENESS OF IT MODELING IN SOLVING WORD PROBLEMS IN ELEMENTARY SCHOOL
22.11.2024
M. Karynbaeva,
G.A. Nazarmatova
Keywords
visualization, mathematical thinking, algorithmization, interactive learning, digital literacy, gamification, cognitive skills, educational platforms, group work, self-control
DOI
https://doi.org/10.35254/bsu/2024.69.45
THE USE OF INTERACTIVE METHODS IN TEACHING HIGHER MATHEMATICS AT UNIVERSITY
22.11.2024
G.A. Nazarmatova,
M. Karynbaeva
Keywords
Interactive methods, higher mathematics, university education, active learning, group discussions, project-based learning, digital technologies, student motivation, pedagogical technologies, effectiveness of education
DOI
https://doi.org/10.35254/bsu/2024.69.48
REGULAR AND SINGULAR PERTURBATIONS IN MATHEMATICAL MODELS: ANALYSIS AND ASYMPTOTIC METHODS
29.12.2025
Zh.K. Turkmanov,
M. Karynbaeva
Keywords
boundary layers, qualitative transformations, numerical modeling, approximate solutions, asymptotic expansions, dynamical systems, perturbation operators, degenerate equations, applied problems, perturbation theory
DOI
https://doi.org/10.35254/bsu/2025.74.35
UNIFORMIZATION METHOD FOR FIRST-ORDER DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER AND SINGULAR POINTS
29.12.2025
Zh.K. Turkmanov,
M. Karynbaeva
Keywords
uniformization method, differential equations, small parameter, asymptotic methods, singular points, boundary layers, singular perturbations, nonlinear equations, asymptotic approximations, matching
DOI
https://doi.org/10.35254/bsu/2025.74.36