Results 51 to 60 of about 278,997 (212)

A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation [PDF]

, 2013
Space fractional convection diffusion equation describes physical phenomena where particles or energy (or other physical quantities) are transferred inside a physical system due to two processes: convection and superdiffusion.
Minghua Chen, W. Deng
semanticscholar   +1 more source

Gaussian radial basis functions method for linear and nonlinear convection–diffusion models in physical phenomena

Open Physics, 2021
In this study, we propose a simple direct meshless scheme based on the Gaussian radial basis function for the one-dimensional linear and nonlinear convection–diffusion problems, which frequently occur in physical phenomena.
Wang Fuzhang, Zheng Kehong, Ahmad Imtiaz, Ahmad Hijaz   +3 more
doaj   +1 more source

Flux Correction for Nonconservative Convection-Diffusion Equation

, 2023
Our goal is to develop a flux limiter of the Flux-Corrected Transport method for a nonconservative convection-diffusion equation. For this, we consider a hybrid difference scheme that is a linear combination of a monotone scheme and a scheme of high-order accuracy.
openaire   +2 more sources

Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation

Results in Engineering
In this work, a two-dimensional nonlinear wave convection-diffusion equation is studied using the symmetry-based techniques, specifically Lie-symmetry approach.
Faiza Arif, F.D. Zaman, F.M. Mahomed, Adil Jhangeer   +3 more
doaj   +1 more source

A Weighted Average Finite Difference Method for the Fractional Convection-Diffusion Equation

Advances in Mathematical Physics, 2013
A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which is an extension of the weighted average method for ordinary convection-diffusion equations.
Lijuan Su, Pei Cheng
doaj   +1 more source

Analytical Solutions of a Nonlinear Convection-Diffusion Equation With Polynomial Sources

Моделирование и анализ информационных систем, 2016
Nonlinear convection–diffusion equations are widely used for the description of various processes and phenomena in physics, mechanics and biology. In this work we consider a family of nonlinear ordinary differential equations which is a traveling wave ...
N. A. Kudryashov, D. I. Sinelshchikov
doaj   +1 more source

Spectral collocation method for convection-diffusion equation

Demonstratio Mathematica
Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered.
Li Jin, Cheng Yongling
doaj   +1 more source

Lattice Boltzmann model of percutaneous drug absorption

Theoretical and Applied Mechanics Letters, 2019
A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross-Krook (BGK) collision term to solve ...
Arman Safdari, Kyung Chun Kim
doaj   +1 more source

Relaxation method for unsteady convection–diffusion equations

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Wensheng, Zhang, Changjiang, Zhang, Jun   +2 more
openaire   +2 more sources

A new kind of the solutions of a convection-diffusion equation related to the p ( x ) $p(x)$ -Laplacian

Boundary Value Problems, 2017
A new kind of the solutions of the convection-diffusion equation related to the p ( x ) $p(x)$ -Laplacian is introduced. The equation is degenerate on the boundary, accordingly, the usual boundary value condition cannot be imposed in Dirichlet’s way. The
Huashui Zhan
doaj   +1 more source