Suchergebnisse - algorithms of Runge- Kutta and Adams type

  1. 1

    An explicit hybrid method for multi-term fractional differential equations based on Adams and Runge-Kutta schemes von Liu, Q. X., Liu, J. K., Chen, Y. M.

    ISSN: 0924-090X, 1573-269X
    Veröffentlicht: Dordrecht Springer Netherlands 01.06.2016
    Veröffentlicht in Nonlinear dynamics (01.06.2016)
    “… An explicit hybrid numerical algorithm is proposed by combining Adams-type and Runge-Kutta (RK …”
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    Journal Article
  2. 2

    New Runge-Kutta Algorithm for a HIV/AIDS Epidemic Fractional Order Model von Bagherpoorfard, Mina, Ghassabzade, Fahimeh Akhavan

    Veröffentlicht: IEEE 30.08.2021
    “… and also, the Runge-Kutta algorithm provides better approximate solutions than some other methods such as Adams type …”
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    Tagungsbericht
  3. 3

    An Overview of the Euler-Type Universal Numerical Integrator (E-TUNI): Applications in Non-Linear Dynamics and Predictive Control von Tasinaffo, Paulo M., Gonçalves, Gildárcio S., Marques, Johnny C., Dias, Luiz A. V., da Cunha, Adilson M.

    ISSN: 1999-4893, 1999-4893
    Veröffentlicht: Basel MDPI AG 01.09.2025
    Veröffentlicht in Algorithms (01.09.2025)
    “… A Universal Numerical Integrator (UNI) is a computational framework that combines a classical numerical integration method, such as Euler, RungeKutta, or Adams …”
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  4. 4

    Adams predictor–corrector method for solving uncertain differential equation von Gu, Yajing, Zhu, Yuanguo

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.03.2021
    Veröffentlicht in Computational & applied mathematics (01.03.2021)
    “… –corrector method to solve UDE. Compared with Euler Method, RungeKutta method, Adams method, Milne method, Adam …”
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  5. 5

    On interval predictor-corrector methods von Marciniak, Andrzej, Jankowska, Malgorzata A., Hoffmann, Tomasz

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.07.2017
    Veröffentlicht in Numerical algorithms (01.07.2017)
    “… In this paper, we propose interval predictor-corrector methods based on conventional Adams-Bashforth-Moulton …”
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  6. 6

    Numerical methods for ordinary differential equations in the 20th century von Butcher, J.C.

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 15.12.2000
    Veröffentlicht in Journal of computational and applied mathematics (15.12.2000)
    “… The first reasons lie in the impetus that was given to the subject in the concluding years of the previous century by the seminal papers of Bashforth and Adams for linear multistep methods and Runge for RungeKutta methods …”
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  7. 7

    A Deep-Learning-Based Method for Solving Nonlinear Singular Lane-Emden Type Equation von He, Jing, Long, Po, Wang, Xinying, He, Kun

    ISSN: 2169-3536, 2169-3536
    Veröffentlicht: Piscataway IEEE 2020
    Veröffentlicht in IEEE access (2020)
    “… The nonlinear Lane-Emden type equation can be used to describe many physical phenomena …”
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  8. 8

    Coupling of finite element method and discontinuous Galerkin method to simulate viscoelastic flows von Gao, Puyang, Ouyang, Jie, Zhou, Wen

    ISSN: 0271-2091, 1097-0363
    Veröffentlicht: Bognor Regis Wiley Subscription Services, Inc 28.02.2018
    “… The momentum equation is discretized in time by using the Adams‐Bashforth second‐order algorithm, and then decoupled via the splitting approach …”
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  9. 9

    A spectral element shallow water model on spherical geodesic grids von Giraldo, Francis X.

    ISSN: 0271-2091, 1097-0363
    Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 30.04.2001
    “… The spectral element method for the two‐dimensional shallow water equations on the sphere is presented. The equations are written in conservation form and the …”
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  10. 10

    Solving the equation of the physical pendulum by some numerical methods of differential equations von Vega, Salustiano, Vega, Osvaldo, Ortigoza, Eduardo

    Veröffentlicht: IEEE 24.10.2022
    “… However, the analysis of large oscillations presents a greater complexity and numerical methods are required to solve approximately the nonlinear differential equations that describe this type of problem …”
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  11. 11

    Implicit Interval Methods for Solving the Initial Value Problem von Marciniak, Andrzej

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer Nature B.V 01.12.2004
    Veröffentlicht in Numerical algorithms (01.12.2004)
    “… Implicit interval methods of RungeKutta and Adams–Moulton type for solving the initial value problem are proposed …”
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  12. 12

    Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor–Corrector Algorithms von Simos, Theodore E.

    ISSN: 2073-8994, 2073-8994
    Veröffentlicht: Basel MDPI AG 01.05.2024
    Veröffentlicht in Symmetry (Basel) (01.05.2024)
    “… This research introduces a fresh methodology for creating efficient numerical algorithms to solve first-order Initial Value Problems (IVPs …”
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  13. 13

    A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions von Simos, Theodore

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.02.2024
    Veröffentlicht in Mathematics (Basel) (01.02.2024)
    “… In this research, we provide a novel approach to the development of effective numerical algorithms for the solution of first-order IVPs …”
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  14. 14

    Mathematical simulations and sensitivity visualization of fractional order disease model describing human immunodeficiency von Ullah, Muhammad Asad, Raza, Nauman, Nazir, Talat

    ISSN: 1110-0168
    Veröffentlicht: Elsevier 01.01.2024
    Veröffentlicht in Alexandria engineering journal (01.01.2024)
    “… In this study, we explore a mathematical model of human immunodeficiency virus type 1 (HIV-1) infection in CD4 …”
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  15. 15

    Adams–Simpson method for solving uncertain differential equation von Wang, Xiao, Ning, Yufu, Moughal, Tauqir A., Chen, Xiumei

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: Elsevier Inc 15.11.2015
    Veröffentlicht in Applied mathematics and computation (15.11.2015)
    “… In order to solve uncertain differential equation, early researchers have proposed two numerical algorithms based on Euler method and RungeKutta method …”
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  16. 16

    Strong stability preserving second derivative multistep methods von Khakzad, Pari, Moradi, Afsaneh, Abdi, Ali, Hojjati, Gholamreza

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.09.2025
    Veröffentlicht in Numerical algorithms (01.09.2025)
    “… ). By obtaining the strong stability preserving (SSP) conditions for this class of methods, we present SSP SDMMs in general and Adams-type forms …”
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  17. 17

    Predicting Cardiovascular Aging Risk Based on Clinical Data Through the Integration of Mathematical Modeling and Machine Learning von Abzaliyev, Kuat, Suleimenova, Madina, Chen, Siming, Mansurova, Madina, Abzaliyeva, Symbat, Manapova, Ainur, Kurmanova, Almagul, Bugibayeva, Akbota, Sundetova, Diana, Bitemirova, Raushan, Baizhigitova, Nazipa, Abdykassymova, Merey, Sagalbayeva, Ulzhas

    ISSN: 2076-3417, 2076-3417
    Veröffentlicht: Basel MDPI AG 01.05.2025
    Veröffentlicht in Applied sciences (01.05.2025)
    “… Background: The aging population is increasing rapidly, with individuals aged 65 and older now representing more than 15% of the global population. This …”
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  18. 18

    Multimodal Computational Approach for Forecasting Cardiovascular Aging Based on Immune and Clinical–Biochemical Parameters von Suleimenova, Madina, Abzaliyev, Kuat, Manapova, Ainur, Mansurova, Madina, Abzaliyeva, Symbat, Doskozhayeva, Saule, Bugibayeva, Akbota, Kurmanova, Almagul, Sundetova, Diana, Abdykassymova, Merey, Sagalbayeva, Ulzhas

    ISSN: 2075-4418, 2075-4418
    Veröffentlicht: Switzerland MDPI AG 29.07.2025
    Veröffentlicht in Diagnostics (Basel) (29.07.2025)
    “… (albumin, cystatin C, N-terminal pro B-type natriuretic peptide (NT-proBNP), superoxide dismutase (SOD …”
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  19. 19

    Exponential Multistep Methods for Stiff Delay Differential Equations von Zhan, Rui, Chen, Weihong, Chen, Xinji, Zhang, Runjie

    ISSN: 2075-1680, 2075-1680
    Veröffentlicht: Basel MDPI AG 01.05.2022
    Veröffentlicht in Axioms (01.05.2022)
    “… This study is concerned with two exponential multistep methods of Adams type for stiff delay differential equations …”
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    On multistep interval methods for solving the initial value problem von Marciniak, Andrzej

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Amsterdam Elsevier B.V 15.02.2007
    Veröffentlicht in Journal of computational and applied mathematics (15.02.2007)
    “… –Bashforth type, Comput. Meth. Sci. Technol. 8(2) (2002) 46–57; A. Marciniak, Implicit interval methods for solving the initial value problem, Numerical Algorithms 37 (2004) 241–251 …”
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