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Boundary Controllability for Inhomogeneous Multidimensional Thermoelastic Diffusion Problem by Hilbert’s Uniqueness Method
In this paper, we study the stabilization and the partial exact controllability of an inhomogeneous multidimensional thermoelastic diffusion problem...
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Exponential Time Differencing Method for a Reaction- Diffusion System with Free Boundary
For reaction-diffusion equations in irregular domains with moving boundaries, the numerical stability constraints from the reaction and diffusion...
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Diffusion and robustness of boundary feedback stabilization of hyperbolic systems
We consider the problem of boundary feedback control of single-input-single-output one-dimensional linear hyperbolic systems when sensing and...
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Numerical scheme for partial differential equations involving small diffusion term with non-local boundary conditions
In this paper, we present a novel numerical method designed for partial differential equations with small diffusion terms and non-local boundary...
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Asymptotic Solutions of the Boundary Value Problem of Convective Diffusion Around Drops with Volumetric Nonlinear Chemical Reaction
We consider a stationary problem of convective diffusion around a droplet, which is streamlined by a liquid flow at low Reynolds numbers, taking into...
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Exponential input-to-state stabilization of stochastic nonlinear reaction–diffusion systems with time-varying delays and exogenous disturbances via boundary control
The boundary stabilization problem of stochastic nonlinear reaction–diffusion systems (SNRDSs) with time-varying delay, exogenous disturbance, and...
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Initial-boundary value problems for coupled systems of time-fractional diffusion equations
This article deals with the initial-boundary value problem for a moderately coupled system of time-fractional diffusion equations. Defining the mild...
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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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A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition
In this article, a numerical scheme to find approximate solutions to the McKendrick–Von Foerster equation with diffusion (M-V-D) is presented. This...
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Uniformly Convergent Numerical Scheme for Solving Singularly Perturbed Parabolic Convection-Diffusion Equations with Integral Boundary Condition
The singularly perturbed parabolic convection-diffusion equations with integral boundary conditions and a large negative shift are studied in this...
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Influence of Numerical Diffusion on the Growth Rate of Viscous Fingers in the Numerical Implementation of the Peaceman Model by the Finite Volume Method
A numerical model of oil displacement by a mixture of water and polymer based on the Peaceman model is considered. Numerical experiments were carried...
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The Partially Degenerate Nonlocal Diffusion Competition Model with a Free Boundary: Invasion of an Inferior or Superior Competitor
We investigate a class of partially degenerate nonlocal diffusion Lotka-Volterra competition models with a free boundary and a fixed boundary in...
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Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers
In this article, we consider the computational cost reduction of approximating a coupled system of time variant multiscale parameterized problems...
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A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat
The objective in this paper is to determine analytically a maximally sustainable pro-rata density-dependent harvest rate of a hypothetical biological...
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Assimilation of Boundary Data for Reconstructing the Absorption Coefficient in a Model of Stationary Reaction–Convection–Diffusion
Direct and inverse problems for a model of stationary reaction–convection–diffusion are studied. The direct problem is to find a solution to the...
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Full discretization of the time dependent Navier–Stokes equations with anisotropic slip boundary condition coupled with the convection–diffusion–reaction equation
In this article, we consider the time dependent convection–diffusion–reaction equation coupled with the Navier–Stokes system subject partially to...
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Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion robin boundary value problem having boundary and internal layers
In the present paper, Robin boundary value problem for a system of singularly perturbed reaction-diffusion equations with discontinuous source term...
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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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An estimator for the recombination rate from a continuously observed diffusion of haplotype frequencies
Recombination is a fundamental evolutionary force, but it is difficult to quantify because the effect of a recombination event on patterns of...
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Virtual Element Method for Control Constrained Dirichlet Boundary Control Problem Governed by the Diffusion Problem
This article develops a conforming virtual element method for a control-constrained Dirichlet boundary optimal control problem governed by the...
