Results 21 to 30 of about 1,908 (129)
Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case
, 2021 A mixed hyperbolic-parabolic, non conservative, Reynolds Stress Model (RSM), is studied. It is based on an underlying set of Langevin equations, and allows to describe turbulent mixing, including transient demixing effects as well as incomplete mixing ...
X. Blanc +4 more
semanticscholar +1 more source
Open Mathematics, 2018 In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging ...
Wei Leilei, Mu Yundong
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Approximate solution for solving nonlinear fractional order smoking model
Alexandria Engineering Journal, 2020 In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense.
A.M.S. Mahdy, N.H. Sweilam, M. Higazy
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Novel fixed point approach to Atangana-Baleanu fractional and Lp-Fredholm integral equations
Alexandria Engineering Journal, 2020 In this article, we introduce an extended F-metric and proved related fixed point results. Subsequently, we mainly focus on(a): Solution for the Atangana-Baleanu fractional integral of order ∝ of a function f(t)It∝sABζ(t)=1-∝B(∝)ζ(t)+∝B(∝)Γ(∝)∫0tζ(ρ)(t-ρ)
Sumati Kumari Panda +2 more
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A Priori Error Estimates for Mixed Finite Element $\theta$-Schemes for the Wave Equation [PDF]
, 2015 A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Karaa, Samir
core +5 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 63, Page 3979-3993, 2003., 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial‐boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm ...
A. A. Halim +2 more
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A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
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Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 103-116, 2002., 2002 We show a simple method to discretize Pardoux‐Peng′s nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi‐linear PDEs.
Yinnan Zhang, Weian Zheng
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The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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A convergence result for discreet steepest decent in weighted sobolev spaces
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 67-72, 1997., 1997 A convergence result is given for discrete descent based on Sobolev gradients arising from differential equations which may be expressed as quadratic forms. The argument is an extension of the result of David G. Luenberger on Euclidean descent and compliments the work of John W. Neuberger on Sobolev descent.
W. T. Mahavier
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