Results 51 to 60 of about 3,838,636 (215)
Fractional-Order Variational Calculus with Generalized Boundary Conditions
Advances in Difference Equations, 2011 This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian ...
Baleanu Dumitru, Herzallah MohamedAE
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General Runge–Kutta–Nyström Methods for Linear Inhomogeneous Second-Order Initial Value Problems
MathematicsIn this paper, general Runge–Kutta–Nyström (GRKN) methods are developed and analyzed, tailored for second-order initial value problems of the form y″=Ly′+My+g(t), where L,M∈Rn×n are constant matrices with n≥1. The construction of embedded pairs of orders
Nadiyah Hussain Alharthi +3 more
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Comparison of outflow boundary conditions for subsonic aeroacoustic simulations [PDF]
, 2011 Aeroacoustics simulations require much more precise boundary conditions than classical aerodynamics. Two classes of non-reflecting boundary conditions for aeroacoustics are compared in the present work: characteristic analysis based methods and Tam and ...
H. Deniau +8 more
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On High-Order Runge–Kutta Pairs for Linear Inhomogeneous Problems
AxiomsThis paper introduces a novel Runge–Kutta (RK) pair of orders 8(6) designed specifically for solving linear inhomogeneous initial value problems (IVPs) with constant coefficients.
Houssem Jerbi +6 more
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On a second-order step-size algorithm [PDF]
Yugoslav Journal of Operations Research, 2002 In this paper we present a modification of the second-order step-size algorithm. This modification is based on the so called 'forcing functions'. It is proved that this modified algorithm is well-defined.
Đuranović-Miličić Nada I.
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Derivation of Three-Derivative Two-Step Runge–Kutta Methods
MathematicsIn this paper, we develop explicit three-derivative two-step Runge–Kutta (ThDTSRK) schemes, and propose a simpler general form of the order accuracy conditions (p≤7) by Albrecht’s approach, compared to the order conditions in terms of rooted trees.
Xueyu Qin, Jian Yu, Chao Yan
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Advances in Difference Equations, 2020 On this paper, for an arbitrary order operator-differential equation with the weight e − α t 2 , α ∈ ( − ∞ , + ∞ ) $e^{\frac{-\alpha t}{2}}, \alpha \in (-\infty ,+ \infty )$ , in the space W 2 n + m ( R + ; H ) $W^{n+m}_{2}(R_{+};H)$ , we attain ...
Nashat Faried +2 more
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Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods
MathematicsIn this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
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New Oscillation Conditions for Second Order Half-Linear Advanced Difference Equations [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This paper aims to establish adequate conditions that are intended for the oscillation of every solution of the second order advanced type half-linear difference equations with noncanonical form.
P. Dinakar +2 more
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Necessary and Sufficient Second-Order Optimality Conditions on Hadamard Manifolds
Mathematics, 2020 This work is intended to lead a study of necessary and sufficient optimality conditions for scalar optimization problems on Hadamard manifolds. In the context of this geometry, we obtain and present new function types characterized by the property of ...
Gabriel Ruiz-Garzón +3 more
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