Results 171 to 180 of about 69,667 (202)

Discretization of a convection-diffusion equation

IMA Journal of Numerical Analysis, 1993
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Morton, K. W., Sobey, I. J.
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On approximation to convective diffusion equation

Mathematical Methods in the Applied Sciences, 1987
AbstractA closed‐form analytical solution for the problem of homogeneous and heterogeneous reactions in a isothermal non‐Newtonian laminar flow tubular reactor is presented. A technique is evolved where Galerkin method is applied in Laplace‐transformed domain.
K. D. P. Nigam, V. K. Srivastava, M. W. Haque, V. Lvov   +3 more
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A Parallel Iteration Method and the Convection-Diffusion Equation

SIAM Journal on Matrix Analysis and Applications, 1992
An iterative method is constructed and investigated for solving a system of linear algebraic equations \(Au=(I_ n-B)u=f\). The \(k\)-th approximation \(u_ k\) to its solution is defined by the two-step process \(v_ k=(a_ 0I_ n+a_ 1B+a_ 2B^ 2-I_ n)v_{k-1}-q(I_ n- B)u_{k-1}+qf\), \(u_ k={1\over q}(a_ 1I_ n+a_ 2(I_ n+B))v_{k- 1}+u_{k-1}\), \(k=1,2,3,\dots\
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A New Basis for the Solution of the One-Dimensional Convection-Diffusion Equation Convection-Diffusion Equation

2006
We present a family of functions that satisfy the one-dimensional convection-diffusion equation. This partial differential equation is widely used in the sciences and engineering, including to model the transport of contaminant dissolved in groundwater. Combinations of these functions are formed to satisfy boundary and initial conditions. The result
Brill, Stephen, Brill, Stephen
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Universal Parallel Solver for Convection-Diffusion Equations

Parallel Processing Letters, 2004
A parallel unconditionally stable solver for three-dimensional convection-diffusion equations is proposed by applying the upwind Crank-Nicolson difference schemes combined with alternating bar parallelization. This solver can be applied numerically to any variation of convection-diffusion equations with Dirichlet boundary conditions.
Xiaoli Zhi, Rong Lu, Xinda Lu
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ADI as a Preconditioning for Solving the Convection-Diffusion Equation

SIAM Journal on Scientific and Statistical Computing, 1984
When a singularly perturbed convection-diffusion equation is discretised, the resulting matrix problem is commonly highly unsymmetric. Optimal acceleration parameters are found for problems of this type when the coefficients are constant. Both the cases of real and complex spectra are considered. The convergence is further improved by the incorporation
Chin, Raymond C. Y., Manteuffel, Thomas A., de Pillis, John   +2 more
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A Compact Multigrid Solver for Convection-Diffusion Equations

Journal of Computational Physics, 1997
The authors present multigrid solvers for convection-diffusion equations in two-dimensional domains. These equations are discretized by a fourth-order finite difference scheme based on a nine-point stencil. Multigrid algorithms with Gauss-Seidel smoother with different orderings (lexicographical, red-black, symmetric horizontal line, alternating zebra)
Gupta, Murli M., Kouatchou, Jules, Zhang, Jun   +2 more
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Highly accurate method for the convection-diffusion equation

International Journal of Computer Mathematics, 1999
In this paper, we shall develop a new approach to implicit method for solving the convection-diffusion equation, which will exhibit several advantageous features: highly accurate, fast and with good results whatever the exact solution is too large i.e., the absolute error still very small.
Hassan N. A. Ismail, Elsayed M. E. Elbarbary   +1 more
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The nonstationary convection-diffusion equation

2009
The equation to be studied in this chapter is the nonstationary convection diffusion equation: $$ \frac{\partial\varphi}{\partial t} + u_{\alpha} \varphi,\alpha - (D\varphi,\alpha),\alpha = q, x \in \Omega \subset {\mathbb R}^m, 0 < t \leq T$$ (5.1) See Sect.
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On a nonlinear convection-diffusion equation

Physica A: Statistical Mechanics and its Applications, 1993
Abstract The nonlinear effects on the macroscopic convection-diffusion equation are addressed. An exact similarity solution for the concentration distribution, to the Cauchy problem, is obtained. The conditions for the existence of travelling wave solutions, expressed in terms of certain inequalities to be satisfied by the fitting parameters, are ...
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