Results 91 to 100 of about 7,785,042 (211)
Discrete Dynamics in Nature and Society, 2013 We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential θ-method is constructed and some conditions under which the numerical solutions oscillate are presented ...
Qi Wang, Jiechang Wen
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Advances in Difference Equations, 2019 In this paper, we establish the existence of nonoscillatory solutions to the neutral dynamic equation [x(t)−∫abp(t,η)x(g(t,η))Δη]Δ+∫cdω(t,ν)x(h(t,ν))Δν=0 $$\biggl[x(t)- \int_{a}^{b}p(t,\eta)x\bigl(g(t,\eta)\bigr)\Delta \eta \biggr]^{\Delta }+ \int_{c}^{d}
Zhanhe Chen +3 more
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Numerical solution of the unsteady Navier-Stokes equation [PDF]
The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws are discussed. These schemes share many desirable properties with total variation diminishing schemes, but TVD schemes have ...
Engquist, Bjoern, Osher, Stanley J.
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International Journal of Aerospace Engineering, Volume 2025, Issue 1, 2025.Background: Electromagnetic flow control is crucial in hypersonic gas dynamics, with key aspects of boundary layer electromagnetic flow control reviewed, focusing on numerical methods, simulations, and experimental research. Numerical Methods: Challenges such as numerical stiffness and instability arise from the coupling of electromagnetic fields with ...
Yang Du, Jun Liu, Hao Chen
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Oscillation of Half-Linear Differential Equations with Delay
Abstract and Applied Analysis, 2013 We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
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Oscillations of nonlinear differential equations with several deviating arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative coefficients.
George Chatzarakis, Julio Dix
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Uniformly high-order accurate non-oscillatory schemes, 1 [PDF]
The construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws was begun. These schemes share many desirable properties with total variation diminishing schemes (TVD), but TVD schemes ...
Harten, A., Osher, S.
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Renormalization study of two-dimensional convergent solutions of the porous medium equation
, 1999 In the focusing problem we study a solution of the porous medium equation $u_t=\Delta (u^m)$ whose initial distribution is positive in the exterior of a closed non-circular two dimensional region, and zero inside.
Angenent +14 more
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Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.
Mohammed Jasim Fadhil +2 more
wiley +1 more source
, 2014 We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.
Bremer, James +2 more
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