Search Results - algorithms of Runge- Kutta and Adams type

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

“…An explicit hybrid numerical algorithm is proposed by combining Adams-type and Runge-Kutta (RK…”
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New Runge-Kutta Algorithm for a HIV/AIDS Epidemic Fractional Order Model by Bagherpoorfard, Mina, Ghassabzade, Fahimeh Akhavan

“… and also, the Runge-Kutta algorithm provides better approximate solutions than some other methods such as Adams type…”
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An Overview of the Euler-Type Universal Numerical Integrator (E-TUNI): Applications in Non-Linear Dynamics and Predictive Control by Tasinaffo, Paulo M., Gonçalves, Gildárcio S., Marques, Johnny C., Dias, Luiz A. V., da Cunha, Adilson M.

“…A Universal Numerical Integrator (UNI) is a computational framework that combines a classical numerical integration method, such as Euler, Runge–Kutta, or Adams…”
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Adams predictor–corrector method for solving uncertain differential equation by Gu, Yajing, Zhu, Yuanguo

“…–corrector method to solve UDE. Compared with Euler Method, Runge–Kutta method, Adams method, Milne method, Adam…”
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On interval predictor-corrector methods by Marciniak, Andrzej, Jankowska, Malgorzata A., Hoffmann, Tomasz

“… In this paper, we propose interval predictor-corrector methods based on conventional Adams-Bashforth-Moulton…”
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Numerical methods for ordinary differential equations in the 20th century by Butcher, J.C.

“… 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 Runge–Kutta methods…”
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A Deep-Learning-Based Method for Solving Nonlinear Singular Lane-Emden Type Equation by He, Jing, Long, Po, Wang, Xinying, He, Kun

“…The nonlinear Lane-Emden type equation can be used to describe many physical phenomena…”
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Coupling of finite element method and discontinuous Galerkin method to simulate viscoelastic flows by Gao, Puyang, Ouyang, Jie, Zhou, Wen

“… 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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A spectral element shallow water model on spherical geodesic grids by Giraldo, Francis X.

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

“… 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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Implicit Interval Methods for Solving the Initial Value Problem by Marciniak, Andrzej

“…Implicit interval methods of Runge–Kutta and Adams–Moulton type for solving the initial value problem are proposed…”
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Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor–Corrector Algorithms by Simos, Theodore E.

“…This research introduces a fresh methodology for creating efficient numerical algorithms to solve first-order Initial Value Problems (IVPs…”
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A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions by Simos, Theodore

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

“…In this study, we explore a mathematical model of human immunodeficiency virus type 1 (HIV-1) infection in CD4…”
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Adams–Simpson method for solving uncertain differential equation by Wang, Xiao, Ning, Yufu, Moughal, Tauqir A., Chen, Xiumei

“… In order to solve uncertain differential equation, early researchers have proposed two numerical algorithms based on Euler method and Runge–Kutta method…”
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Strong stability preserving second derivative multistep methods by Khakzad, Pari, Moradi, Afsaneh, Abdi, Ali, Hojjati, Gholamreza

“…). 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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Predicting Cardiovascular Aging Risk Based on Clinical Data Through the Integration of Mathematical Modeling and Machine Learning by 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

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

“… (albumin, cystatin C, N-terminal pro B-type natriuretic peptide (NT-proBNP), superoxide dismutase (SOD…”
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Exponential Multistep Methods for Stiff Delay Differential Equations by Zhan, Rui, Chen, Weihong, Chen, Xinji, Zhang, Runjie

“… 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 by Marciniak, Andrzej

“…–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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