Results 21 to 30 of about 10,395 (165)
Vietnam Journal of Mechanics, 2021 Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives.
Nguyen Van Khang +2 more
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Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means
Kubik, 2020 This paper discuss how to modified Fourth order Runge-Kutta Kutta method based on the geometric mean. Then we have parameters and however by re-comparing the Taylor series expansion of and up to the 4th order. For make error term re-compering
Irma Suryani +3 more
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Construction of Two-Derivative Runge–Kutta Methods of Order Six
Algorithms, 2023 Two-Derivative Runge–Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six.
Zacharoula Kalogiratou +1 more
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Advances in Mechanical Engineering, 2018 Magnetic rotor-bearing system has drawn great attention because of its several advantages compared to existent rotor-bearing system, and explicit Runge–Kutta method has achieved good results in solving dynamic equation.
Xi Fang +6 more
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Semiexplicit 𝐴-stable Runge-Kutta methods [PDF]
Mathematics of Computation, 1979 An s − 1 s - 1 stage semiexplicit Runge-Kutta method is represented by an s × s s \times s real lower triangular matrix where the number of implicit stages is given by the number of nonzero diagonal elements. It is shown that the maximum order attainable is s when
Cooper, G. J., Sayfy, A.
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Spatially Partitioned Embedded Runge--Kutta Methods [PDF]
SIAM Journal on Numerical Analysis, 2013 We study spatially partitioned embedded Runge--Kutta (SPERK) schemes for partial differential equations (PDEs), in which each of the component schemes is applied over a different part of the spatial domain. Such methods may be convenient for problems in which the smoothness of the solution or the magnitudes of the PDE coefficients vary strongly in ...
Ketcheson, David I. +2 more
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Advances in Difference Equations, 2017 This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given.
Qing Liao, Liping Wen
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Exponentially fitted Runge–Kutta methods
Journal of Computational and Applied Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vanden Berghe, Guido +3 more
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Semi analytical method for solving lymphatic filariasis epidemic model
Journal of Applied Sciences and Environmental Management, 2019 In this paper, we present a deterministic model on the transmission dynamics of Lymphatic Filariasis. Non-Standard Finite Difference Method (NSFDM) is employed to attempt the solution of the model.
F.A. Oguntolu +3 more
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Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods
Journal of Computational and Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blanes, S., Moan, P. C.
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