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Roman Parovik

22 works

International Integrative Research Laboratory of Extreme Phenomena of Kamchatka, Vitus Bering Kamchatka State University, 4 Pogranichnaya St., Petropavlovsk-Kamchatskiy 683032, Russia

  1. Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

    Kholmat Shadimetov, A.K. Boltaev, Roman Parovik

    ArticleIterative Methods for Nonlinear EquationsMathematics20236 citations
    ABI

  2. Global existence and nonexistence for a multidimensional system of parabolic equations with nonlinear boundary conditions

    Zafar Rakhmonov, Roman Parovik, A.A. Alimov

    ArticleAdvanced Mathematical Modeling in EngineeringAIP conference proceedings20215 citations
    ABI

  3. Application of the Explicit Euler Method for Numerical Analysis of a Nonlinear Fractional Oscillation Equation

    Valentine Aleksandrovich Kim, Roman Parovik

    ArticleFractional Differential Equations SolutionsFractal and Fractional20222 citations
    ABI

  4. Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type

    Valentine Aleksandrovich Kim, Roman Parovik, Zafar Rakhmonov

    ArticleFractional Differential Equations SolutionsMathematics20232 citations
    ABI

  5. Modeling of fracture concentration by Sel’kov fractional dynamic system

    Roman Parovik, Zafar Rakhmonov, Rakhimzhon Zunnunov

    ArticleFractional Differential Equations SolutionsE3S Web of Conferences20202 citations
    ABI

  6. Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева

    A.R. Hayotov, F.A. Nuraliev, Roman Parovik +1

    ArticleMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки20201 citations
    ABI

  7. Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

    M. Kh. Ruziev, Roman Parovik, Р.Т. Зуннунов +1

    ArticleFractional Differential Equations SolutionsFractal and Fractional20241 citations
    ABI

  8. A Bitsadze–Samarskii-Type Problem for a Second-Kind Mixed-Type Equation in a Domain with a Horizontal Half-Strip as Its Elliptic Part

    Р.Т. Зуннунов, Roman Parovik, Akramkhon Ergashev

    ArticleDifferential Equations and Boundary ProblemsMathematics20261 citations
    ABI

  9. Non-local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

    M. Kh. Ruziev, Roman Parovik, Р.Т. Зуннунов +1

    PreprintFractional Differential Equations SolutionsPreprints.org20241 citations
    ABI

  10. Study of Chaotic and Regular Modes of the Fractional Dynamic System of Selkov

    Roman Parovik, Zafar Rakhmonov, Rakhim Zunnunov

    ArticleFractional Differential Equations SolutionsEPJ Web of Conferences20210 citations
    ABI

  11. Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

    Dmitryi Tverdyi, Roman Parovik, Evgeniy Makarov +2

    ArticleFractional Differential Equations SolutionsEPJ Web of Conferences20210 citations
    ABI

  12. Распараллеливание численного алгоритма решения задачи Коши для нелинейного дифференциального уравнения дробного переменного порядка с помощью технологии OpenMP

    Dmitrii Tverdyi, Roman Parovik, A.R. Hayotov +1

    ArticleDifferential Equations and Numerical MethodsВестник КРАУНЦ Физико-математические науки20230 citations
    ABI

  13. Implementation of the Modified Test 0-1 Algorithm for the Analysis of Chaotic Modes of the Fractional Duffing Oscillator

    Roman Parovik

    ArticleFractional Differential Equations SolutionsВестник КРАУНЦ Физико-математические науки20230 citations
    ABI

  14. Untitled

    Khairiddin Alimov, Roman Parovik, D Sci +17

    OtherХимия физика биология математика теоретические и прикладные исследования20230 citations
    ABI

  15. Dubovsky’s Class of Mathematical Models for Describing Economic Cycles with Heredity Effects

    Danil Makarov, Roman Parovik, Zafar Rakhmonov

    ArticleComplex Systems and Time Series AnalysisFractal and Fractional20240 citations
    ABI

  16. Mathematical Model of a Fractional Nonlinear Mathieu Oscillator

    А.Ж. Отенова, Roman Parovik

    ArticleFractional Differential Equations SolutionsВестник КРАУНЦ Физико-математические науки20240 citations
    ABI

  17. Mathematical Model of Van der Pol-Airy Fractional Oscillator

    А.И. Салимова, Roman Parovik

    ArticleFractional Differential Equations SolutionsВестник КРАУНЦ Физико-математические науки20240 citations
    ABI

  18. Dynamic modes of the Van der Pol-Airy fractional oscillator

    А.И. Салимова, Roman Parovik

    ArticleFractional Differential Equations SolutionsAIP conference proceedings20240 citations
    ABI

  19. Simulation of artificial ECGs of a healthy person using the fractional McSherry model

    Kh. T. Alimov, Roman Parovik

    ArticleECG Monitoring and AnalysisAIP conference proceedings20240 citations
    ABI

  20. Fractional Mathematical Models S.V. Dubovsky to Describe K-Waves in Economics

    Danil Makarov, Roman Parovik

    PreprintAdvanced Research in Science and EngineeringPreprints.org20240 citations
    ABI

  21. Dubovsky’s Class of Mathematical Models for Describing Economic Cycles with Heredity Effects

    Danil Makarov, Roman Parovik, Zafar Rakhmonov

    PreprintComplex Systems and Time Series AnalysisPreprints.org20240 citations
    ABI

  22. Zeeman’s mathematical fractional model for describing cardiac contractions

    Gulbakhor Israyiljanova, Sh. T. Karimov, Roman Parovik

    ArticleFractional Differential Equations SolutionsAIP conference proceedings20250 citations
    ABI