Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting condition
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DOI: 10.1007/s10092-016-0180-5
Abstract: In this paper, we present a methodology for stabilizing the virtual element method applied to the convection-diffusion-reaction equation. The stabilization is carried out modifying the mesh inside the boundary layer so that the link-cutting condition… read more here.
Keywords: convection diffusion; element method; diffusion reaction; link cutting ... See more keywords
Time Adaptive Numerical Solution of a Highly Degenerate Diffusion–Reaction Biofilm Model Based on Regularisation
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DOI: 10.1007/s10915-017-0483-y
Abstract: We consider a quasilinear degenerate diffusion–reaction system that describes biofilm formation. The model exhibits two non-linear effects: a power law degeneracy as one of the dependent variables vanishes and a super diffusion singularity as it… read more here.
Keywords: regularisation; diffusion; diffusion reaction; model ... See more keywords
Exact traveling wave solutions of density-dependent conformable space–time-fractional diffusion–reaction equation with quadratic nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01597-2
Abstract: By using improved F-expansion method (IFEM), we study density-dependent space–time-fractional diffusion–reaction equation with quadratic nonlinearity (DDFDRE), which arises in mathematical biology. The fractional derivative is described in the sense of the CF derivative. Exact traveling… read more here.
Keywords: fractional diffusion; density dependent; time fractional; diffusion reaction ... See more keywords
Modeling of steep layers in singularly perturbed diffusion–reaction equation via flexible fine-scale basis
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113343
Abstract: Abstract We present a new stabilized method for the diffusion–reaction equation which develops sharp boundary and/or internal layers for the reaction-dominated case (i.e. singularly perturbed case). The method relies on an improved expression for the… read more here.
Keywords: fine scale; diffusion reaction; reaction equation; reaction ... See more keywords
A novel B-spline method to analyze convection-diffusion-reaction problems in anisotropic inhomogeneous medium
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DOI: 10.1016/j.enganabound.2020.06.013
Abstract: Abstract We present a B-spline based semi-analytical technique for solving 2D convection-diffusion-reaction equations. The main feature of the presented technique is to separate the satisfaction of the conditions on the boundary and the elliptic partial… read more here.
Keywords: convection diffusion; diffusion reaction; reaction problems;
Implementation and application of some nonlinear models of diffusion/reaction in solids
Sign Up to like & getrecommendations! Published in 2017 at "Finite Elements in Analysis and Design"
DOI: 10.1016/j.finel.2017.04.004
Abstract: Abstract Feulvarch et al. [5] defined an extended class of nonlinear models of diffusion/reaction in solids, applicable to both problems of diffusion of heat with phase change, and problems of diffusion of chemical elements with… read more here.
Keywords: nonlinear models; diffusion; implementation; diffusion reaction ... See more keywords
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform
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DOI: 10.1038/s41598-020-63982-w
Abstract: Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady convection-diffusion-reaction (CDR) equation, which is classified in mathematics as… read more here.
Keywords: convection diffusion; diffusion; diffusion reaction; analytic solutions ... See more keywords
Wavelet–Fourier CORSING techniques for multidimensional advection–diffusion–reaction equations
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DOI: 10.1093/imanum/draa036
Abstract: We present and analyze a novel wavelet–Fourier technique for the numerical treatment of multidimensional advection–diffusion–reaction equations based on the COmpRessed SolvING (CORSING) paradigm. Combining the Petrov–Galerkin technique with the compressed sensing approach the proposed method… read more here.
Keywords: reaction equations; diffusion reaction; multidimensional advection; advection diffusion ... See more keywords
Diffusion Reaction of Carbon Monoxide in the Human Lung.
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DOI: 10.1103/physrevlett.119.078101
Abstract: The capture of CO, a standard lung function test, results from diffusion-reaction processes of CO with hemoglobin inside red blood cells (RBCs). In its current understanding, suggested by Roughton and Forster in 1957, the capture… read more here.
Keywords: reaction carbon; diffusion; diffusion reaction; carbon monoxide ... See more keywords
Stability of solutions of control problems for the convection–diffusion–reaction equation with a strong nonlinearity
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DOI: 10.1134/s0012266117040073
Abstract: We consider a boundary control problem for the stationary convection–diffusion–reaction equation in which the reaction constant depends on the concentration of matter in such a way that the equation has a fifth-order nonlinearity. We prove… read more here.
Keywords: convection diffusion; control; diffusion reaction; reaction ... See more keywords
Formation mechanism of diffusion-reaction layer for a Cu/Ti diffusion couple under different heating methods
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DOI: 10.17222/mit.2017.062
Abstract: Diffusion experiments with a Cu/Ti diffusion couple were conducted using the pulse-current-heating method and the conventional-heating method. The interfacial microstructure and the growth behavior of the diffusion-reaction layer were investigated with a scanning electron microscope… read more here.
Keywords: heating; diffusion reaction; reaction layer; diffusion ... See more keywords