ADI method for convection-diffusion equations
A High Order Compact ADI Method for Solving 3D Unsteady Convection Diffusion Problems
... unsteady convection diffusion equations have been developed [5-10, ...stabilized method (BiCGStab) is used in [13, 14]. This method is more efficient than conventional iterative ...
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Unique solvability of the CCD scheme for convection–diffusion equations with variable convection coefficients
... equation. Numer. Algorithms 72, 1103–1117 (2016) 20. He, D.D., Pan, K.J.: An unconditionally stable linearized CCD-ADI method for generalized nonlinear Schrodinger equations with variable coefficients ...
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An extrapolation full multigrid algorithm combined with fourth order compact scheme for convection–diffusion equations
... 2D convection– diffusion equation [37, 38]. In their approach, the ADI method is applied to compute the fourth-order accurate solution on the fine and coarse grids, respectively, then the Richard- son ...
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Numerical solution of Convection-Diffusion equations with memory term based on sinc method
... of Convection-Diffusion equation with a memory term subject to initial boundary value ...difference method in combination with product trapezoidal integration rule is used to discretize the equation in time ...
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... time-dependent convection-diffusion-reaction ...of convection-diffusion-reaction equations as in ...SUPG method might lead to a fast blow-up of the simulations, and hence the ...
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Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
... differential equations modelling diffusion, convection and reaction problems Cauchy ...SBA method based on combination of Laplace’s transform, Adomian Decomposition Method(ADM), Picard ...
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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations
... for convection-diffusion-reaction ...element method is used for diffusion ...element method is presented to handle the material derivative term, that is, the time derivative term plus ...
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A finite difference scheme for multidimensional convection-diffusion-reaction equations
... Fig. 3. Examples of unstructured grids. Fig. 4. Test 1, convergence rates of SUPG, RFB and Present methods. 4. Numerical tests In this section, we report some numerical experiments to illustrate the performance of the ...
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Mathematical modeling of biodegradation of metallic biomaterials using reaction-diffusion-convection equations and level set method
... • A quantitative mathematical model to assess the degradation behavior of biodegradable metallic biomaterials. • Good agreement between the simulation predictions and experimentally ob[r] ...
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Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... parabolic convection-diffusion ...the method converges uniformly in the discrete maximum norm with first-order time and spatial accuracy, respectively, for the fully discrete ...
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An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type
... [20], and Khadalbajoo [21-23] we, in this paper, suggest a computational method, which makes use of the zero-order asymptotic expansion approximation and a boundary value [r] ...
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Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank Nicolson and Time Efficient ADI
... two-dimensional convection diffusion equation using Crank-Nicholson and ADI, time-dependent nonli- near system is ...nonlinear convection diffusion ...
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A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations
... a method to be applicable in practice, a significant amount of work has been devoted to the development of such ...a convection-dominated problem stems from the fact that most of the applications in which ...
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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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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... the convection term, a fourth-order central difference scheme for the diffusion term, we construct a boundary scheme that matches the interior point and obtain a stable combination semi-discrete compact ...
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Orthogonal subgrid-scale stabilization for nonlinear reaction-convection-diffusion equations
... Such equations arise in population study, circuit theory, quantum mechan- ics, ...for convection, diffusion and reaction ...of convection to that of diffusion and numerical Damk¨ ohler ...
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Stabilized finite element methods for time dependent convection-diffusion equations
... DEPENDENT CONVECTION-DIFFUSION EQUATIONS In this thesis, enriched finite element methods are presented for both steady and unsteady convection diffusion ...the method of lines ...
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Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations
... 4.6. Test 6 Our final test problem is devoted for three space dimensional convection–diffusion–reaction equation in unit cube. The problem data is: = 10 − 5 , ( b 1 , b 2 , b 3 ) = ( y − 0 . 5 , 0 . 5 − x ...
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- ADI splitting for Maxwell s equations
... error analysis for Namiki; Zheng, Chen, Zhang method for Maxwell’s equations on a cuboid. proved rigorous bounds for abstract problem[r] ...
Adaptive Finite Element Method for Steady Convection Diffusion Equation
... the convection-diffusion equation in ...element method is employed. This scheme is based on the streamline diffusion method combined with Neumann-type posteriori ...
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