Results 11 to 20 of about 13,068 (272)
Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 The Runge-Kutta method is a one step method with multiple stages, the number of stages determine order of method. The method can be applied to work out on differential equation of the type’s explicit, implicit, partial and delay differential equation etc.
Vijeyata Chauhan +1 more
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Identification of Parameters in Photovoltaic Models through a Runge Kutta Optimizer
Mathematics, 2021 Recently, the resources of renewable energy have been in intensive use due to their environmental and technical merits. The identification of unknown parameters in photovoltaic (PV) models is one of the main issues in simulation and modeling of renewable
Hassan Shaban +8 more
semanticscholar +1 more source
Relaxation Runge–Kutta Methods for Hamiltonian Problems [PDF]
Journal of Scientific Computing, 2020 The recently-introduced relaxation approach for Runge–Kutta methods can be used to enforce conservation of energy in the integration of Hamiltonian systems. We study the behavior of implicit and explicit relaxation Runge–Kutta methods in this context. We
Hendrik Ranocha, D. Ketcheson
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Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods [PDF]
ACM Transactions on Mathematical Software, 2020 While implicit Runge–Kutta (RK) methods possess high order accuracy and important stability properties, implementation difficulties and the high expense of solving the coupled algebraic system at each time step are frequently cited as impediments.
P. Farrell +2 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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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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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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Model Sederhana Gerak Osilator dengan Massa Berubah Terhadap Waktu Menggunakan Metode Runge Kutta
Positron, 2018 Persamaan gerak osilasi pegas dengan massa berubah terhadap waktu merupakan persamaan differensial non linear yang sulit diselesaikan secara analitik. Pada penelitian ini persamaan gerak osilasi tersebut diselesaikan menggunakan metode Runge Kutta orde ...
Yulia Acu +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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Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation [PDF]
Applied Mathematics Letters, 2020 In this paper, a family of arbitrarily high-order structure-preserving exponential Runge–Kutta methods are developed for the nonlinear Schrodinger equation by combining the scalar auxiliary variable approach with the exponential Runge–Kutta method.
Jin-Chao Cui +3 more
semanticscholar +1 more source