Results 31 to 40 of about 136,590 (291)
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions [PDF]
, 2015 We analyze upwind difference methods for strongly degenerate convection-diffusion equations in several spatial dimensions. We prove that the local $L^1$-error between the exact and numerical solutions is $\mathcal{O}(\Delta x^{2/(19+d)})$, where $d$ is ...
Karlsen, Kenneth Hvistendahl +2 more
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Limit cycles in the presence of convection, a first order analysis [PDF]
, 2006 We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
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Diffusion Convection Equation with Variable Nonlinearities
Journal of Function Spaces, 2017 The paper studies diffusion convection equation with variable nonlinearities and degeneracy on the boundary. Unlike the usual Dirichlet boundary value, only a partial boundary value condition is imposed.
Huashui Zhan
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Interior Blowup in a Convection-Diffusion Equation [PDF]
SIAM Journal on Mathematical Analysis, 1998 The author studies the behaviour of the solutions to the heat equation with a nonlinear diffusion-convection term of the form \(\text{div }u^q(\nabla)\) in a bounded domain. In addition a nonlinear Neumann condition is imposed on the boundary. The convection term is chosen in such a way that the stationary problem admits infinitely many solutions which
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Asymptotic profiles of solutions to convection–diffusion equations [PDF]
Comptes Rendus. Mathématique, 2004 The large time behavior of zero-mass solutions to the Cauchy problem for the convection–diffusion equation u t -
Benachour, Said +2 more
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An inverse problem for a quasilinear convection–diffusion equation
Nonlinear Analysis, 2022 We study the inverse problem of recovering a semilinear diffusion term $a(t,λ)$ as well as a quasilinear convection term $\mathcal B(t,x,λ,ξ)$ in a nonlinear parabolic equation $$\partial_tu-\textrm{div}(a(t,u) \nabla u)+\mathcal B(t,x,u,\nabla u)\cdot\nabla u=0, \quad \mbox{in}\ (0,T)\timesΩ,$$ given the knowledge of the flux of the moving quantity ...
Ali Feizmohammadi +2 more
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Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
MATEC Web of Conferences, 2016 In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation.
Ravi Kanth A.S.V., Deepika
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Fractal and Fractional, 2023 The aim of this study is to utilize a differential quadrature method with various kernels, such as Lagrange interpolation and discrete singular convolution, to tackle problems related to the Riesz fractional diffusion equation and the Riesz fractional ...
Abdelfattah Mustafa +4 more
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Travelling waves in a convection–diffusion equation
Journal of Differential Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feireisl, E. (Eduard) +2 more
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Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal, 2018 In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
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