Results 1 to 10 of about 10,395 (165)
Stochastic Bayesian Runge-Kutta method for dengue dynamic mapping [PDF]
MethodsX, 2023 Dengue Hemorrhagic Fever (DHF) is still a threat to humanity that cause death and disability due to changes in environmental and socioeconomic conditions, especially in tropical areas. A critical assessment of the models and methods is necessary.
Mukhsar +7 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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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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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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Periodica Mathematica Hungarica, 2023 AbstractIn the numerical integration of nonlinear autonomous initial value problems, the computational process depends on the step size scaled vector field hf as a distinct entity. This paper considers a parameterized transformation $$\begin{aligned} hf \mapsto hf \circ (I-\gamma hf)^{-1}, \end{aligned}$$
Molnár, András +2 more
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Accelerated Runge‐Kutta Methods [PDF]
Discrete Dynamics in Nature and Society, 2008 Standard Runge‐Kutta methods are explicit, one‐step, and generally constant step‐size numerical integrators for the solution of initial value problems. Such integration schemes of orders 3, 4, and 5 require 3, 4, and 6 function evaluations per time step of integration, respectively. In this paper, we propose a set of simple, explicit, and constant step‐
Firdaus E. Udwadia, Artin Farahani
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Mathematics, 2022 The study of the fuzzy differential equation is a topic that researchers are interested in these days. By modelling, this fuzzy differential equation can be used to resolve issues in the real world.
Nurain Zulaikha Husin +2 more
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New class of hybrid explicit methods for numerical solution of optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 Forward-backward sweep method (FBSM) is an indirect numerical method used for solving optimal control problems, in which the differential equation arising from this method is solved by the Pontryagin’s maximum principle.
M. Ebadi, I. Malih Maleki, A. Ebadian
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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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Global error estimation of linear multistep methods through the Runge-Kutta methods [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, we study the global truncation error of the linear multistep methods (LMM) in terms of local truncation error of the corresponding Runge-Kutta schemes. The key idea is the representation of LMM with a corresponding Runge-Kutta method.
Javad Farzi
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