نتایج جستجو برای: advection diffusion reaction equation

تعداد نتایج: 775678  

Journal: :InPrime: Indonesian Journal of Pure and Applied Mathematics 2021

Journal: : 2023

In this paper, a highly accurate method is introduced to achieve the numerical solution of advection diffusion equation (ADE). This approach contains collocation technique based on nonic B-spline functions in spatial-domain discretization and Adams Moulton scheme temporal-domain discretization. Two test problems are studied validate effectiveness new presented efficiency approximate results tes...

2010
Irina Ginzburg Alexander Kuzmin

Despite the growing popularity of Lattice Boltzmann schemes for describing multi-dimensional flow and transport governed by non-linear (anisotropic) advectiondiffusion equations, there are very few analytical results on their stability, even for the isotropic linear equation. In this paper, the optimal two-relaxation-time (OTRT) model is defined, along with necessary and sufficient (easy to use...

Journal: :Tellus A: Dynamic Meteorology and Oceanography 1992

2008
R. D. Benguria M. C. Depassier

We study the speed of propagating fronts of the convection reaction diffusion equation ut + μuux = uxx + f(u) for reaction terms f(u) such that in the non convective case fronts joining two equilibrium states exist. A variational principle for the wave speed is constructed from which upper and lower bounds are obtained. We find that, in general, there is a transition value μc below which advect...

Journal: :Fractal and fractional 2021

In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated. First order condition the discussed. Weighted Jacobi polynomials are used to approximate and adjoint state. A priori error estimates for control, state, Lagrangian multiplier derived. Numerical experiment carried ou...

2009
L. P. Franca G. Hauke A. Masud

We give a brief overview of stabilized finite element methods and illustrate the developments applied to the advection-diffusion equation.

Journal: :Mathematics 2022

This paper is devoted to apply the Lie methods a class of reaction diffusion advection systems two interacting species u and v with arbitrary constitutive functions f g. The term appearing in equation for logistic function Lotka-Volterra type. Once obtained algebra any form g classification carried out. Interesting reduced are derived admitting wide classes exact solutions.

2002
O. Pironneau

For the advection-diffusion equation, the characteristic-Oalerkin formulations are obtained by temporal discretization of the total derivative. These formulations, by construction, are EulerianLagrangian, and therefore can handle time-dependent domains without difficulty. The Oalerkin/leastsquares space-time formulation, on the other hand, is written over the space-time domain of a problem, and...

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