Results 31 to 40 of about 26,053 (259)
Fractal and Fractional, 2023 In this paper, a numerical approach for solving systems of nonlinear fractional differential equations (FDEs) is presented Using the Euler wavelets technique and associated operational matrices for fractional integration, we try to solve those systems of
Sadiye Nergis Tural Polat +1 more
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On a Quasi-Neutral Approximation to the Incompressible Euler Equations
Journal of Applied Mathematics, 2012 We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible ...
Jianwei Yang, Zhitao Zhuang
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On Euler's equation and 'EPDiff'
Journal of Geometric Mechanics, 2013 We study a family of approximations to Euler's equation depending on two parameters $\varepsilon,η\ge 0$. When $\varepsilon=η=0$ we have Euler's equation and when both are positive we have instances of the class of integro-differential equations called EPDiff in imaging science. These are all geodesic equations on either the full diffeomorphism group $\
Mumford, David, W. Michor, Peter
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Advances in Difference Equations, 2021 Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, these equations do not have a certain solution
R. Sadat +3 more
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Ulam stability for second-order linear differential equations with three variable coefficients
Results in Applied Mathematics, 2022 This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C. +4 more
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On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators [PDF]
, 2022 We report a class of symmetry-intergable third-order evolution equations in1+1 dimensions under the condition that the equations admit a second-orderrecursion operator that contains an adjoint symmetry (integrating factor) oforder six.
Norbert Euler +3 more
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Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]
, 2011 This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi +5 more
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Ordinary differential equations invariant under two-variable Moebius transformations [PDF]
, 2021 We consider two Möbius transformations that map two variables, compute their invariants and describe the ordinary differential equations that are kept invariant under these ...
N. Euler, M. C. Nucci, M. Euler
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Hyers–Ulam Stability for Quantum Equations of Euler Type
Discrete Dynamics in Nature and Society, 2020 Many applications using discrete dynamics employ either q-difference equations or h-difference equations. In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum (q-difference) equation of Euler type.
Douglas R. Anderson, Masakazu Onitsuka
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