Results 41 to 50 of about 168,051 (190)
, 2016 ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes are widely used high-order schemes for solving partial differential equations (PDEs), especially hyperbolic conservation laws with piecewise smooth solutions.
Jiao, Xiangmin, Liu, Hongxu
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Well-balanced finite difference WENO schemes for the blood flow model [PDF]
, 2016 The blood flow model maintains the steady state solutions, in which the flux gradients are non-zero but exactly balanced by the source term. In this paper, we design high order finite difference weighted non-oscillatory (WENO) schemes to this model with ...
Delestre, Olivier +2 more
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Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments
Mathematics, 2019 In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.
Omar Bazighifan, Clemente Cesarano
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Mathematical Modelling and Analysis, 2021 This work is aimed at studying some comparison and oscillation properties of boundary value problems (BVP’s) of a new type, which differ from classical problems in that they are defined on two disjoint intervals and include additional transfer conditions
Oktay Sh. Mukhtarov, Kadriye Aydemir
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Moving gap solitons in periodic potentials
, 2007 We address existence of moving gap solitons (traveling localized solutions) in the Gross-Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit localized solutions of the coupled-mode system.
Alfimov +13 more
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Bifurcations of nontrivial solutions of a cubic Helmholtz system [PDF]
, 2018 This paper presents local and global bifurcation results for radially symmetric solutions of the cubic Helmholtz system \begin{equation*} \begin{cases} -\Delta u - \mu u = \left( u^2 + b \: v^2 \right) u &\text{ on } \mathbb{R}^3, \\ -\Delta v - \nu v = \
Mandel, Rainer, Scheider, Dominic
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Homogenization and enhancement for the G-equation
, 2010 We consider the so-called G-equation, a level set Hamilton-Jacobi equation, used as a sharp interface model for flame propagation, perturbed by an oscillatory advection in a spatio-temporal periodic environment.
A. Majda +18 more
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Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, 1980 The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution
G. J. Etgen, Willie E. Taylor
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Advances in Difference Equations, 2019 In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied.
Limei Feng, Zhenlai Han
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Analytic solutions for nonlinear waves in coupled reacting systems
, 2001 We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves.
A.R. Bishop +13 more
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