Results 71 to 80 of about 69,667 (202)
Lattice Boltzmann model of percutaneous drug absorption
Theoretical and Applied Mechanics Letters, 2019 A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross-Krook (BGK) collision term to solve ...
Arman Safdari, Kyung Chun Kim
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Relaxation method for unsteady convection–diffusion equations
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wensheng Shen +2 more
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Analytic Solution of 1D Diffusion-Convection Equation with Varying Boundary Conditions
, 2022 A diffusion-convection equation is a partial differential equation featuring two important physical processes. In this paper, we establish the theory of solving a 1D diffusion-convection equation, subject to homogeneous Dirichlet, Robin, or Neumann ...
Glinowiecka-Cox, Małgorzata B.
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Boundary Value Problems, 2017 A new kind of the solutions of the convection-diffusion equation related to the p ( x ) $p(x)$ -Laplacian is introduced. The equation is degenerate on the boundary, accordingly, the usual boundary value condition cannot be imposed in Dirichlet’s way. The
Huashui Zhan
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Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion [PDF]
, 2007 Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally.
Philip M. Gresho +9 more
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NUMERICAL ANALYSIS OF AN INVERSE PROBLEM ORIGINATED IN PHENOMENON OF POLLUTION AIR URBAN
Selecciones Matemáticas, 2016 This paper presents the calibration study of a two - dimensional mathematical model for the problem of urban air pollution. It is mainly assumed that air pollution is afected by wind convection, diffusion and chemical reactions of pollutants ...
Aníbal Coronel, Ian Hess
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An Efficient Numerical Model for the Black–Scholes Equations
Journal of Applied MathematicsIn this paper, a novel numerical model for the Black–Scholes equations is developed. To address some potential issues that may arise when solving this equation using the conventional model, the original Black–Scholes equation is reformulated as a ...
Yan Zhou, Yunxing Zhang
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A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations
Журнал Белорусского государственного университета: Математика, информатика, 2019 A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested.
Viktor K. Polevikov
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Solution of convection–diffusion equation by the method of characteristics
Journal of Computational and Applied Mathematics, 2004 The author considers the nonlinear problem: \[ \partial_tu+ F(u) \nabla u-D\Delta u=0;\quad u(0,x)= u_0(x)\;x\in\Omega \] with homogeneous boundary conditions. This problem is solved by the method of characteristics. One of the innovations in the paper is that the velocity field must not be bounded, it is enough to be supposed continuous.
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Diffusion in Cauchy Elastic Solid
, 2022 It is commonly accepted that a starting point of the science of diffusion is the phenomenological diffusion equation postulated by German physiologist Adolf Fick inspired by experiments on diffusion by Thomas Graham and Robert Brown.
Danielewski, Marek, Sapa, Lucjan
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