Results 51 to 60 of about 10,395 (165)
Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations
مجلة بغداد للعلوم, 2010 In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods.
Baghdad Science Journal
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Abstract and Applied Analysis, 2013 This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations.
Haiyan Yuan, Cheng Song
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A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model
Discrete Dynamics in Nature and Society, 2020 In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge–Kutta (FRK) method has been presented.
Muhammad Sarmad Arshad +3 more
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Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs
Journal of Algorithms & Computational Technology, 2013 In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae +2 more
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Discrete ILQG method based on high-order exponential Runge–Kutta discretization
Results in Applied MathematicsIn this study, we employ the iterative Linear Quadratic Gaussian (ILQG) method, discretized based on the high-order exponential Runge–Kutta methods, to numerically solve stochastic optimal control problems.
Yujie Yun, Tieqiang Gang, Lijie Chen
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FUZZY DELAY DIFFERENTIAL EQUATIONS WITH HYBRID SECOND AND THIRD ORDERS RUNGE-KUTTA METHOD [PDF]
Journal of Engineering Science and Technology, 2018 This paper considers fuzzy delay differential equations with known statedelays. A dynamic problem is formulated by time-delay differential equations and an efficient scheme using a hybrid second and third orders Runge-Kutta method is developed and ...
RUI SIH LIM, SU HOE YEAK, ROHANIN AHMAD
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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
Abstract and Applied AnalysisThis study presents families of the fourth-order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth-order Runge–Kutta methods and practically well-suited
Wendafrash Seyid Yirga +3 more
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Randomized Low-Rank Runge–Kutta Methods
SIAM Journal on Matrix Analysis and ApplicationsThis work proposes and analyzes a new class of numerical integrators for computing low-rank approximations to solutions of matrix differential equation. We combine an explicit Runge-Kutta method with repeated randomized low-rank approximation to keep the rank of the stages limited.
Hei Yin Lam +2 more
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Efficiency of a Boris-like integration scheme with spatial stepping
Physical Review Special Topics. Accelerators and Beams, 2002 A modified Boris-like integration, in which the spatial coordinate is the independent variable, is derived. This spatial-Boris integration method is useful for beam simulations, in which the independent variable is often the distance along the beam.
P. H. Stoltz +3 more
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Modified Diagonally Implicit Runge-Kutta Methods
DAIMI Report Series, 1980 Experimental evidence indicates that the implementation of Newton's method in the numerical solution of ordinary differential equations (y'=f(t,y), y(a)=y_circle, t in [a,b]) by implicit computational schemes may cause difficulties. This is especially true in the situation where (i) f(t,y) and/or f'(t,y) are quickly varying in t and/or y and (ii) a low
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