3D ADVECTION-REACTION EQUATIONEULER–MARCAULEN QUADRATURE FORMULAEXACT FINITE-DIFFERENCE SCHEMESSTABILITY AND MONOTONICITYThe article is devoted to the difference schemes for the three-dimensional advection-reaction equation with a nonlinear source. Exact difference schemes for constant convection coefficients ...
Advection-reaction equationDiffusion equationAsymptotic stabilityOxygen transportAlveolar capillary35B4035Q80We deal with a simple model for oxygen transport in alveolar capillaries with exchange of oxygen between the capillaries and alveoli. This model is described by a weakly coupled three-component system...
Arroyo, "A Eulerian- Lagragian localized adjoint method for the nonlinear advection-diffusion-reaction equation", In V.N. Burganos, G.P. Karatzas, A.C. Payatakes, C.A. Brebbia, W.G. Gray, and G.F. Pinder (editors), Computational methods in water resources XII, Computational ...
advection-reaction-diffusion equationdissipativitylinear theta-methodsone-leg theta-methodsThis paper deals with dissipativity of the theoretical solutions and numerical solutions of a general class of advection-reaction-diffusion equations with both fixed and distributed delays. Some sufficient conditions for ...
How can I solve the following equation using pdepe solver:du/dx=d/dx(-sigma*dl/dx) ? 0 답변 How to set Drichlet and Neumann boundary conditions for a set of ode in BVP solver 1 답변 전체 웹사이트 A Simple Finite Volume Solver f...
We develop a moving grid Eulerian-Lagrangian Localized Adjoint Method (ELLAM) to solve the one-dimensional nonlinear Advective-Dispersive-Reactive Equation (ADRE) that governs contaminant transfer with biological/chemical/radioactive processes. The method uses a moving grid to define the solution and ...
3) diffusion-convection-reaction equation 扩散对流反应方程 1. For a convection-dominated diffusion-convection-reaction equation,some new higher order regular estimates about its true solution are derived firstly. 针对对流占优的扩散对流反应方程,首先得到关于真解的一些新的高阶正则性估计。
Thus, in this work the exact VMS and the SGS methods are applied to solve the advection–diffusion-reaction equation and compared to other popular stabilized methods (SUPG, GLS). Based on the multiscale theory, an intrinsic time scale parameter is derived and compared to other proposed parameter...
Calculated values of the effective parameters used in the one-dimensional upscaled equation, and the dependency of these parameters on local parameters are evaluated. Finally, the applicability of an effective Monod-type reaction rate is discussed. Summary and conclusion We have presented an new ...
Firstly, we present a spreading–vanishing dichotomy for the asymptotic behavior of the solutions of the equation. Then, we obtain criteria for spreading and vanishing, and get an estimate for the asymptotic spreading speed of the spreading front. Moreover, numerical simulation is also given to ...