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Effective spectral approximations of convection—diffusion equations

Computer Methods in Applied Mechanics and Engineering, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Pasquarelli, QUARTERONI, ALFIO MARIA
openaire   +3 more sources

Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation

Journal of Inverse and Ill-Posed Problems, 2018
The inverse coefficient problem for the nonlinear convection-diffusion-reaction equation is considered. A velocity vector and a mass-transfer coefficient are considered as the unknown coefficients and are recovered with the help of the additional ...
R. Brizitskii, Z. Saritskaya
semanticscholar   +1 more source

Soution of Convection-Diffusion Equations

2013
Partial differential equations are an important part of mathematics in science and its numerical solution occupies an important position in the numerical analysis. Partial differential equations are closely related to human life and it has important research value.
Yamian Peng, Chunfeng Liu, Linan Shi
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The stationary convection-diffusion equation

2009
The convection-diffusion equation has been derived in Sect. 1.11. We take ρ = 1, and obtain $$ \frac{\partial\varphi}{\partial t} + u_{\alpha} \varphi,\alpha - (D\varphi,\alpha),\alpha = q, x \in \Omega \subset {\mathbb R}^d, 0 < t \leq T.$$ For the physical significanece of the terms in this equation, see Sect. 1.11.
openaire   +2 more sources

Supersymmetry and convection–diffusion–reaction equations

International Journal of Modern Physics B, 2023
In this work, we are concerned with generating solutions of a class of Convection–Diffusion–Reaction (CDR) equation from the solutions of another CDR equation through the Darboux transformations. The method is elucidated by cases with certain types of the reaction coefficients.
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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   +3 more
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Discretization of a convection-diffusion equation

IMA Journal of Numerical Analysis, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morton, K. W., Sobey, I. J.
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Linear Reaction-Convection-Diffusion Equation

2009
In this chapter, we discuss the control problem of the linear reaction-convectiondiffusion equation $$\frac{\partial u}{\partial t} = \mu \nabla^{2} u + \nabla \cdot (u\mathbf{v}) + au.$$ (4.1) Depending on a particular real problem, u can represent a temperature or the concentration of a chemical species.
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ℋ︁‐matrices for the convection‐diffusion equation

PAMM, 2003
AbstractHierarchical matrices (ℋ︁‐matrices) provide a technique for the sparse approximation of large, fully populated matrices. This technique has been shown to be applicable to stiffness matrices arising in boundary element method applications where the kernel function displays certain smoothness properties.
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