Results 21 to 30 of about 9,116 (177)
On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in
Fractal and FractionalTime-fractional convection–diffusion equations are significant for their ability to model complex transport phenomena that deviate from classical behavior, with numerous applications in anomalous diffusion, memory effects, and nonlocality.
Chenkuan Li +3 more
doaj +1 more source
Some Inverse Problems for Convection-Diffusion Equations
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2014 We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass transfer and convection-di usion processes. The coe cients and right-hand side of the system are recovered under certain additional overdetermination conditions, which are the integrals of a solution with weights over some collection of domains.
Pyatkov, S., Safonov, E.
openaire +3 more sources
Parabolic approximations of the convection-diffusion equation [PDF]
Mathematics of Computation, 1993 We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation ...
Lohéac, J. P. +2 more
openaire +1 more source
Multiscale Stochastic Homogenization of Convection-Diffusion Equations [PDF]
Applications of Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis study numerically derived the higher order convergence for a class of singularly perturbed Fredholm integro differential equations with reaction diffusion and convection diffusion type problems.
P. Antony Prince +2 more
doaj +1 more source
Convection–diffusion equations with random initial conditions [PDF]
Journal of Mathematical Analysis and Applications, 2019 We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framework enabling us to show the existence and regularity of solutions as well as their long time behaviour.
openaire +2 more sources
Results in EngineeringIn this work, a two-dimensional nonlinear wave convection-diffusion equation is studied using the symmetry-based techniques, specifically Lie-symmetry approach.
Faiza Arif +3 more
doaj +1 more source
Boundary Value Problems, 2022 Convection-diffusion equation is widely used to describe many engineering and physical problems. The finite element method is one of the most common tools for computing numerical solution. In 2003, Wang et al.
Lanyin Sun, Fangming Su
doaj +1 more source
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 -u xx +(|u| q ) x =0,u(x,0)=u 0 (x) is studied when q>1 and the initial datum u0 belongs to L 1 (ℝ,(1+|x|)dx) and satisfies ∫ ℝ u 0 (x)dx=0.
Benachour, Said +2 more
openaire +3 more sources
IEEE Access, 2017 In this paper, a numerical solution of 2-D time-dependent coupled nonlinear system is discussed. Both Crank-Nicholson and alternating direction implicit methods were used to address the problems associated with nonlinear system.
Muhammad Saqib +2 more
doaj +1 more source