convection-diffusion equations
A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations
... The improvement of AFC schemes and the further development of their analysis have been listed in [30] among the most important open problems for H 1 -conforming finite elements for convection–diffusion ...
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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... The convection-diffusion equation is widely used in many engineering and practical problems. It is a typical mathematical model for studying the numerical solution of partial differential equations. ...
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Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
... of convection–diffusion equations using piecewise affine continuous finite elements a new edge-based nonlinear diffusion operator is proposed that makes the scheme satisfy a discrete maximum ...
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Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection Diffusion Equations
... perturbed convection-diffusion equations is ...perturbed convection-diffusion equations is O(N) and the relevant coefficient matrix is well con- ditioned in comparison with the ...
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Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... where u(x) is the exact solution of the singularly perturbed problem. Recently, Liu and Chen [18] presented an adaptive grid method to solve a weakly coupled system of two singularly perturbed convection-diffusion ...
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Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection Diffusion Equations
... and , then (1) becomes a convection dominated equation for which [1-4] are some of the exponential schemes known from the literature. For higher dim- ensional problems, though the schemes [2-4] are all fourth ...
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Numerical solution of Convection-Diffusion equations with memory term based on sinc method
... Abstract In this essay, we study the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value conditions. Finite difference method in combination with product ...
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Unique solvability of the CCD scheme for convection–diffusion equations with variable convection coefficients
... The combined compact difference (CCD) scheme has better spectral resolution than many other existing compact or noncompact high-order schemes, and is widely used to solve many differential equations. However, due to ...
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Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection Diffusion Equations
... two-dimensional convection-diffusion equation with boundary value condition, later uses the finite difference method to discretize the equation and analyzes positive definite, diagonally dominant and ...
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An extrapolation full multigrid algorithm combined with fourth order compact scheme for convection–diffusion equations
... In this paper, we propose an extrapolation full multigrid (EXFMG) algorithm to solve the large linear system arising from a fourth-order compact difference discretization of two-dimensional (2D) convection diffusion ...
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Modeling Convection Diffusion with Exponential Upwinding
... Convection diffusion equations are commonly used to describe a wide variety of physical ...groundwater, convection diffusion mod- els are extremely ...
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Online Full Text
... In this paper, the authors have proposed a numerical algorithm based on Legendre polynomials operational matrix to solve a class of two term time fractional convection-diffusion equations with ...
5
Analysis of algebraic flux correction schemes
... for convection-dominated ...transport equations and they are called flux-corrected transport (FCT) schemes (see also [7] for their application to compressible ...time-dependent ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... variable convection coefficients, are considered to demonstrate the accuracy of the present ...are convection diffusion equations and the results of the present method on nonuniform grids are ...
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Vol 8, No 9 (2017)
... Now at time t > 0, the plate is moving impulsive motion along x-direction against gravitational fi eld with constant velocity, the plate temperature and concentration raised by one unit. A transverse magnetic field of ...
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Neumann-Type A Posteriori Error Estimation For Steady Convection-Diffusion Equation
... of convection-diffusion equation yields inaccurate, oscillatory solutions near boundary layers in convection dominated flows and, if the diffusion parameter 𝜖 is decreased without proportional ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... of convection-dominated problem, the standard Galerkin approximation of Equation ...artificial diffusion along streamlines. The Streamline-Diffusion Finite Element Method (SDFEM) [1]-[3] stabilizes a ...
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STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
... non-stationary diffusion-convection- reaction ...time-dependent diffusion- convection-reaction equation and a priori error analysis are given in ...
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Java Simulation of Au Diffusion in Si Affected by Vacancies and Self Interstitials: Partial Differential Equations
... a diffusion constant is nec- essary in order to fix both of them from Equations (57) and ...a diffusion constant as it has a true physical nature, whereas fixing a equilibrium con- centration at some ...
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Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... In terms of the above reasons, a compact finite difference scheme is desired to solve lots of differential equations numerically [13–16]. One can compute more accurate solutions using limited grid sizes through ...
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