Results 11 to 20 of about 81,957 (247)
Parallelization of Runge–Kutta Methods for Hardware Implementation
Computation, 2022 Parallel numerical integration is a valuable tool used in many applications requiring high-performance numerical solvers, which is of great interest nowadays due to the increasing difficulty and complexity in differential problems.
Petr Fedoseev +4 more
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Numerical Simulation of Fuzzy Volterra Integro-differential Equation using Improved Runge-Kutta Method [PDF]
Journal of Applied and Computational Mechanics, 2023 In this research, fourth-order Improved Runge-Kutta method with three stages for solving fuzzy Volterra integro-differential (FVID) equations of the second kind under the concept of generalized Hukuhara differentiability is proposed. The advantage of the
Faranak Rabiei +6 more
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Optimum Runge-Kutta methods [PDF]
Mathematics of Computation, 1964 The optimum Runge-Kutta method of a particular order is the one whose truncation error is a minimum. Various measures of the size of the truncation error are considered. The optimum method is practically independent of the measure being used. Moreover, among methods of the same order which one might consider using the difference in size of the ...
Hull, T. E., Johnston, R. L.
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Conservative Continuous-Stage Stochastic Runge–Kutta Methods for Stochastic Differential Equations
Fractal and Fractional, 2023 In this paper, we develop a new class of conservative continuous-stage stochastic Runge–Kutta methods for solving stochastic differential equations with a conserved quantity. The order conditions of the continuous-stage stochastic Runge–Kutta methods are
Xiuyan Li +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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ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA
Barekeng, 2022 This study discusses the analysis of the Spruce Budworm model using numerical methods, namely the Heun method and the Third Order Runge-Kutta method. The purpose of this study is to determine the numerical results of the Heun method and the Third Order ...
Irwan Irwan +4 more
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Positivity-preserving adaptive Runge–Kutta methods [PDF]
Communications in Applied Mathematics and Computational Science, 2021 Many important differential equations model quantities whose value must remain positive or stay in some bounded interval. These bounds may not be preserved when the model is solved numerically. We propose to ensure positivity or other bounds by applying Runge-Kutta integration in which the method weights are adapted in order to enforce the bounds.
Nüsslein, Stephan +2 more
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Solving Oscillating Problems Using Modifying Runge-Kutta Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions.
Zainab Khaled Ghazal +1 more
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Different approaches in GLONASS orbit computation from broadcast ephemeris [PDF]
Geodetski Vestnik, 2016 Several types of methods can solve equations of satellite motion numerically. These methods are divided into single and multi-step methods. The accuracy of each method depends directly on adopted integration step size between successive iterations.
Kamil Maciuk
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Improved Runge-Kutta Method for Oscillatory Problem Solution Using Trigonometric Fitting Approach
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This paper provides a four-stage Trigonometrically Fitted Improved Runge-Kutta (TFIRK4) method of four orders to solve oscillatory problems, which contains an oscillatory character in the solutions.
Kasim A. Hussain, Waleed J. Hasan
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