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Regularity and solution profiles along propagation for a cooperative species system with non-linear diffusion
The present analysis provides insights and analytical findings for a cooperative system formulated with non-linear diffusion. This work discusses,...
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Cross-diffusion induced spatiotemporal patterns in Schnakenberg reaction–diffusion model
Schnakenberg system is a typical mathematical model to describe activator-depleted kinetics. In this paper, by introducing linear cross-diffusion...
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Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations
In this paper, we present and analyze an arbitrary Lagrangian–Eulerian local discontinuous Galerkin (ALE-LDG) method for one-dimensional linear...
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Advection and Diffusion—Interpolation Functions
The previous chapters introduced the reader to the basics of the finite volume method, pointing out the strong characteristics of the method and...
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Diffusion Approximations and Control Variates for MCMC
AbstractA new method is introduced for the construction of control variates to reduce the variance of additive functionals of Markov Chain Monte...
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Ultrasound Image Reconstruction with Denoising Diffusion Restoration Models
Ultrasound image reconstruction can be approximately cast as a linear inverse problem that has traditionally been solved with penalized optimization...
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Turing Pattern Formation in Reaction-Cross-Diffusion Systems with a Bilayer Geometry
Conditions for self-organisation via Turing’s mechanism in biological systems represented by reaction-diffusion or reaction-cross-diffusion models...
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An Eshelbian Homogenization Solution for the Coupled Mechanical-Diffusion Problem
AbstractWhen alloying elements diffuse into a metallic matrix, the matrix phase usually transforms into an inclusion phase. The phase transformation...
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Analytical solution of non-linear fractional diffusion equation
In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform...
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Standard diffusion-weighted, diffusion kurtosis and intravoxel incoherent motion in differentiating invasive placentas
PurposeTo investigate the diagnostic value of monoexponential, biexponential, and diffusion kurtosis MR imaging (MRI) in distinguishing invasive...
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Advanced Diffusion Imaging in Neuroradiology
Diffusion magnetic resonance imaging (MRI) is an important and valuable compliment to blood oxygen level dependent (BOLD) fMRI. BOLD fMRI is an...
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Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion
This paper is devoted to studying the threshold dynamics for infection age-structured epidemic models with non-degenerate diffusion and degenerate...
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On fractional diffusion equation with noise perturbation
The stochastic time-fractional diffusion equation can be accounted for a logical description of models with subdiffusion. This work is dedicated to...
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Diffusion in Partially Ionized Unmagnetized Plasma
Diffusion in partially ionized plasma is analyzed. It is shown that for pure plasma (plasma with single ion species), equations for density and...
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The High-Order Variable-Coefficient Explicit-Implicit-Null Method for Diffusion and Dispersion Equations
For the high-order diffusion and dispersion equations, the general practice of the explicit-implicit-null (EIN) method is to add and subtract an...
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UTE Diffusion-Weighted Imaging (UTE-DWI)
Diffusion-weighted imaging of short-T2 tissues is fundamentally limited by the short-T2 signal decay and hardware performance, making it challenging...
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Diffusion Transport Alignment
The integration of multimodal data presents a challenge in cases where the study of a given phenomena by different instruments or conditions...
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Velocities of transmission eigenchannels and diffusion
The diffusion model is used to calculate both the time-averaged flow of particles in stochastic media and the propagation of waves averaged over...
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Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations
We construct and analyze a local discontinuous Galerkin (LDG) method which is combined with the locally one-dimensional method as one of the...
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A generalized thermoelastic diffusion theory of porous materials considering strain, thermal and diffusion relaxation, and its application in the ultrashort pulse laser heating
In order to obtain the transient thermoelastic diffusion responses of porous materials heated by the ultrashort pulse laser, the focus of this work...
