Search
Search Results
-
Numerical Solutions of the Diffusion Equation
In this chapter, we solve the diffusion equation numerically by means of finite-difference methods (FDMs). For such purpose, the basic relations of...
-
Solution of the Diffusion Equation in Free Space
In this chapter, we focus on solving the diffusion equation under no spatial constraints, that is, in free space, to find a unique solution that will...
-
Neutron Diffusion—The Finite Difference Solution of the Neutron Diffusion Equation
The neutron diffusion equation is a simpler form of the transport equation (derived in Chapter 1 ).
-
Scaling limits for the generalized Langevin equation via diffusion approximation theory
This work presents a new method for obtaining the precise stationary state solutions of the Generalized Langevin Equation (GLE). The method combines...
-
Stability and numerical analysis of fractional BBM-Burger equation and fractional diffusion-wave equation with Caputo derivative
This paper gives a highly efficient technique to analyse the fractional BBM-Burger equation and fractional Diffusion-Wave equation. These equations...
-
Boundary control problem for the reaction– advection– diffusion equation with a modulus discontinuity of advection
AbstractWe consider a periodic problem for a singularly perturbed parabolic reaction–diffusion–advection equation of the Burgers type with the...
-
Brownian Motion and Diffusion Equation
Brownian motion is random movement of particles such as pollen suspended in water (Philipse in Notes on Brownian Motion, 2011). The random movement...
-
Transcending classical diffusion models: nonlinear dynamics and solitary waves in the fractional Chaffee–Infante equation
This research employs advanced computational methodologies to analyze solitary wave solutions associated with the fractional nonlinear...
-
Probabilistic Diffusion Constrains Self-Assembly
The organizing principles that constrain and guide self-assembly include another random process, that of diffusion. We first visited the random walk...
-
Diffusion and Thermal Diffusion Coefficients of a Binary Mixture in the Van der Waals Model
AbstractModel expressions are obtained for the concentration diffusion coefficient and thermal diffusion factor of a binary mixture obeying the Van...
-
Reguera and Rubi Kinetic Equation
This chapter is devoted to the in-depth study of the mesoscopic non-equilibrium thermodynamics theory in the presence of entropic barriers, as well...
-
On the soliton solutions to the density-dependent space time fractional reaction–diffusion equation with conformable and M-truncated derivatives
In this manuscript, the density-dependent space-time fractional reaction–diffusion equation in the sense of conformable and M-truncated derivatives...
-
Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics
Constraints in power consumption and computational power limit the skill of operational numerical weather prediction by classical computing methods....
-
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...
-
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...
-
Diffusion in Disordered Media
In this chapter we will study diffusional transport in disordered media. We can model diffusional transport either by solving the diffusion equation...
-
Diffusion of a collisionless gas
AbstractWe study a diffusion-type equation for the density of a collisionless relativistic gas (Jüttner gas). The rate of diffusion propagation...
-
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...
-
Diffusion in Narrow Channels Embedded on Curved Manifolds
In this chapter we extend the generalization of the Kalinay-Percus projection method for asymmetric channels. We project the anisotropic...
-
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain
AbstractWe consider a boundary value problem based on a logistic model with delay and diffusion describing the dynamics of changes in the...
