Iterative Methods for Solving Convection-diffusion Problem
AbstractTo obtain an approximate solution of the steady-state convectiondiffusion problem, it is necessary to solve the corresponding system of linear algebraic equations. The basic peculiarity of these LA systems is connected with the fact that they have non-symmetric matrices.
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Heat transfer analysis for a free boundary problem arising in n-diffusion equation
This paper presents research on a free boundary value problem arising in a nonlinear n-diffusion equation by using a homotopy analysis method (HAM). Approximate analytical solutions are obtained for special nonlinear diffusion functional coefficient ...
UlrichOlivier Dangui-Mbani +4 more
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Layer-adapted meshes for convection–diffusion problems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Adaptive Multigrid Strategy for Convection-Diffusion Problems [PDF]
*Abstract. *For the solution of convection-diffusion problems we presenta multilevel self-adaptive mesh-refinement algorithm to resolve locallystrong varying behavior, like boundary and interior layers. The methodis based on discontinuous Galerkin (Baumann-Oden DG) discretization.The recursive mesh-adaptation is interwoven with the multigrid solver.The
Vasileva, D., Kuut, A., Hemker, P.W.
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An inverse problem for a quasilinear convection–diffusion equation
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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Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
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Non-Hermitian Localization and Population Biology
The time evolution of spatial fluctuations in inhomogeneous d-dimensional biological systems is analyzed. A single species continuous growth model, in which the population disperses via diffusion and convection is considered.
A. J. Koch +48 more
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Complex of parallel programs for modeling oil products transport in coastal systems
This paper covers the model of oil products transport in view the evaporation of light, neutral and no-evaporating pseudofractions of oil slick, dissolution of oil slick and biodegradation.
Semenyakina Alena, Protsenko Sophia
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A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem [PDF]
A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients.
A. Mohammadpour
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Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
AbstractIn this paper, parameter - uniform numerical methods for singularly perturbed ordinary differential equations containing two small parameters are studied.Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. A numerical algorithm based on an upwind finite difference operator and an appropriate piecewise uniform ...
O'Riordan, Eugene +2 more
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