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Linear Polymers in Networks: Swelling, Diffusion, and Interdigitation
The diffusion of polymers within heterogeneous media is strongly dependent on the structure of the medium. We review neutron reflectometry and ion...
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Investigation of piecewise linear chaotic map as a diffusion model for image encryption
In this paper, Piecewise Linear Chaotic Map is investigated as a diffusion model to be used in image encryption. In the proposed model, first, the...
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On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection-Diffusion Equations
A fully discrete energy stability analysis is carried out for linear advection-diffusion problems discretized by generalized upwind...
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Accounting for endogenous effects in decision-making with a non-linear diffusion decision model
The Drift-Diffusion Model (DDM) is widely accepted for two-alternative forced-choice decision paradigms thanks to its simple formalism and close fit...
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Multifactorial Diffusion of Chloride Ions in Concrete considering the Non-linear Voltage Distortion of Other Species
One of the most relevant deterioration mechanisms of reinforced concrete (RC) structures is the corrosion of steel bars by chloride ions. The service...
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Fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2
We investigate the dynamics of fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2. We...
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Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative
In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard...
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Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. Part I: Linear equations
The main objective of this paper is analysis of the initial-boundary value problems for the linear time-fractional diffusion equations with a...
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A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations
An efficient and high-order numerical method is presented for solving a time-space-fractional reaction-diffusion equation. Matrix transfer technique...
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Reduced Basis Approach for Convection-Diffusion Equations with Non-linear Boundary Reaction Conditions
This paper aims at an efficient strategy to solve drift-diffusion problems with non-linear boundary conditions as they appear, e.g., in heterogeneous...
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Sequential Improvement Method in Probabilistic Criteria Optimization Problems for Linear-in-State Jump Diffusion Systems
AbstractHere we study the problems of probabilistic and quantile optimization of multidimensional controllable jump diffusion. As the main tool we...
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An efficient preconditioner for linear systems arising from high-order accurate schemes of time fractional diffusion equations
In this paper, we study preconditioners for all-at-once systems arising from the discretization of time-fractional sub-diffusion equations. Due to...
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A linear B-spline interpolation/Galerkin finite element method for the two-dimensional Riesz space distributed-order diffusion-wave equation with error analysis
This paper focuses on the distributed-order time-fractional diffusion-wave equations with the Riesz space fractional derivatives. A combined method...
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Assessment of the new kinetically limited linear driving force model for predicting diffusion limited adsorption breakthrough curves
The new kinetically limited linear driving force (KLLDF) model was assessed against the traditional LDF model in the prediction of twelve different...
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Particle Diffusion Process with Artificial Control: Diffusion Metamaterials
Diffusion acts as a fundamental process for both energy and mass movement, showcasing dynamics that differs from wave propagation. The emergence of...
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Linear B-spline finite element method for the generalized diffusion equation with delay
ObjectivesThe main aim of this paper is to develop a linear B-spline finite element method for solving generalized diffusion equations with delay....
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Reaction-Diffusion Problems
In this chapter, we start by investigating the adsorption-desorptionAdsorption-desorption (process, phenomenon, boundary conditions, etc.) Boundary...
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Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps
We formulate a hybridizable discontinuous Galerkin method for parabolic equations with non-linear tensor-valued coefficients and jump conditions...
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Diffusion–Shock Inpainting
We propose diffusion–shock (DS) inpainting as a hitherto unexplored integrodifferential equation for filling in missing structures in images. It...