Results 31 to 40 of about 1,065,619 (287)

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

Axioms, 2016
In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
doaj   +1 more source

Microscopic origin of the jump diffusion model

, 2009
The present paper is aimed at studying the microscopic origin of the jump diffusion. Starting from the $N$-body Liouville equation and making only the assumption that molecular reorientation is overdamped, we derive and solve the new (hereafter ...
Gelin, M. F., Kosov, D. S.
core   +1 more source

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

, 2015
We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
core   +1 more source

Comparing algebraic and numerical solutions of classical diffusion process equations in computational financial mathematics

Discrete Dynamics in Nature and Society, 2001
We revise the interrelations between the classical Black Scholes equation, the diffusion equation and Burgers equation. Some of the algebraic properties the diffusion equation shows are elaborated and qualitatively presented.
Andreas Ruffing, Patrick Windpassinger, Stefan Panig   +2 more
doaj   +1 more source

Logarithmic diffusion and porous media equations: a unified description

, 2005
In this work we present the logarithmic diffusion equation as a limit case when the index that characterizes a nonlinear Fokker-Planck equation, in its diffusive term, goes to zero. A linear drift and a source term are considered in this equation.
B. V. Gnedenko, E. K. Lenzi, E. M. F. Curado, E. M. F. Curado, I. T. Pedron, J. Buckmaster, L. C. Malacarne, M. Muskat, P. Y. Polubarinova-Kochina, R. S. Mendes, S. K. Ma, T. J. Buratta   +11 more
core   +1 more source

Numerical Simulation of Feller’s Diffusion Equation

Mathematics, 2019
This article is devoted to Feller’s diffusion equation, which arises naturally in probability and physics (e.g., wave turbulence theory). If discretized naively, this equation may represent serious numerical difficulties since the diffusion ...
Denys Dutykh
doaj   +1 more source

Relationship between Diffusion, Selfdiffusion and Viscosity

, 2009
We investigate the experimental limits of validity of the Stokes-Einstein equation. There is an important difference between diffusion and self-diffusion.
Anderson, Angell, Avramov, Avramov, Avramov, Avramov, Avramov, Avramov, Avramov, Einstein, Elliott, Eyring, Frenkel, Fricshat, Gladstone, Greaves, Hlavac, I. Avramov, Ingram, Kawakami, Kincs, Lefterova, Martin, Mazurin, McElfresh, Ravaine, Ribes, Rothman, Sekhon, Solovev, Souquet, Tuller, Voronel, Ziman   +33 more
core   +1 more source

Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

Computation, 2023
New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf, Endre Kovács, Imre Ferenc Barna, László Mátyás   +3 more
doaj   +1 more source

The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

, 2014
We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a non-classical transport equation.
Frank, Martin, Krycki, Kai, Larsen, Edward W., Vasques, Richard   +3 more
core   +1 more source

Competitive effects between stationary chemical reaction centres: a theory based on off-center monopoles. [PDF]

, 2015
The subject of this paper is competitive effects between multiple reaction sinks. A theory based on off-center monopoles is developed for the steady-state diffusion equation and for the convection-diffusion equation with a constant flow field.
Biello, Joseph A, Samson, René
core   +1 more source