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   Articles with "diffusion reaction" as a keyword



Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting condition

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recommendations! Published in 2017 at "Calcolo"

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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recommendations! Published in 2018 at "Journal of Scientific Computing"

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

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recommendations! 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
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Modeling of steep layers in singularly perturbed diffusion–reaction equation via flexible fine-scale basis

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recommendations! 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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recommendations! Published in 2020 at "Engineering Analysis with Boundary Elements"

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

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recommendations! 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

Temporospatial Confined Catalytic Membranes with Controlled Diffusion-Reaction for Ultrafast Water Purification.

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recommendations! Published in 2025 at "Environmental science & technology"

DOI: 10.1021/acs.est.5c04008

Abstract: Catalytic membrane is an appealing technology for eliminating refractory organic pollutants in comparison to conventional advanced oxidation methods. However, the application of this technology is constrained by the trade-off between membrane permeability and reactivity. Herein,… read more here.

Keywords: temporospatial confined; confined catalytic; membrane; diffusion reaction ... See more keywords

Ultraselective Amino-Phenolic Nanofiltration Membranes via Enzyme-Mediated Decoupling of Diffusion and Reaction.

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recommendations! Published in 2025 at "ACS nano"

DOI: 10.1021/acsnano.5c08591

Abstract: Polymer membranes are essential in separation processes such as desalination and organic solvent nanofiltration. However, simultaneously manipulating subnanometer pore size, homogeneity, and chemistry remains challenging due to the coupled diffusion-reaction of building blocks in membrane… read more here.

Keywords: enzyme mediated; chemistry; nanofiltration; diffusion reaction ... See more keywords

Ice-Confinement Overcomes the Diffusion-Reaction Limitation in Surface Assays.

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recommendations! Published in 2025 at "Journal of the American Chemical Society"

DOI: 10.1021/jacs.5c16130

Abstract: Diffusion-reaction coupling at solid-liquid interfaces has long constrained the performance of interfacial molecular assays, particularly surface-based DNA assays. Herein, we report an ice-confinement strategy that reprograms the mass transport at the solid-liquid interface. Through in… read more here.

Keywords: ice confinement; diffusion reaction; surface; electrochemistry ... See more keywords
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Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform

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recommendations! Published in 2020 at "Scientific Reports"

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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recommendations! Published in 2020 at "IMA Journal of Numerical Analysis"

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