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Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation [PDF]

Entropy
The space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses
Xiaohua Bi, Huimin Wang
doaj   +2 more sources

Lagrangian for the convection–diffusion equation [PDF]

Mathematical Methods in the Applied Sciences, 2012
Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection–diffusion equation in the special case of constant coefficients. Copyright © 2012 John Wiley & Sons, Ltd.
Jacky Cresson
exaly   +5 more sources

A nonlocal convection–diffusion equation

Journal of Functional Analysis, 2007
En este trabajo estudiamos una ecuación no local que tiene en cuenta los efectos convectivos y difusivos, ut=J∗u−u+G∗(f(u))−f(u) en Rd, siendo J radialmente simétrica y G no necesariamente simétrica. Primero, probamos la existencia, la singularidad y la dependencia continua con respecto a la condición inicial de las soluciones.
Julio D Rossi, Liviu Ignat
exaly   +4 more sources

A survey of numerical schemes for transportation equation [PDF]

E3S Web of Conferences, 2021
The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion.
Yu Simin
doaj   +1 more source

Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization

MethodsX, 2022
The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
doaj   +1 more source

Novel Numerical Method Based on the Analog Equation Method for a Class of Anisotropic Convection-Diffusion Problems

Frontiers in Physics, 2022
In this work, a CMFS method based on the analogy equation method, the radial basis function and the method of fundamental solutions for linear and nonlinear convection-diffusion equations in anisotropic materials is presented.
L Zhang, L Zhang, FZ Wang, FZ Wang, J Zhang, J Zhang, YY Wang, S Nadeem, TA Nofal   +8 more
doaj   +1 more source

New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method

Tikrit Journal of Pure Science, 2023
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation.
Seham I. Aziz, Wafaa M. Taha, Raad A. Hameed, Ibrahem M. Taha   +3 more
doaj   +1 more source

Metastability for nonlinear convection–diffusion equations [PDF]

Nonlinear Differential Equations and Applications NoDEA, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Folino, Raffaele, Lattanzio, Corrado, Mascia, Corrado, Strani, Marta   +3 more
openaire   +1 more source

A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

Advances in Difference Equations, 2021
Convection and diffusion are two harmonious physical processes that transfer particles and physical quantities. This paper deals with a new aspect of solving the convection–diffusion equation in fractional order using the finite volume method and the ...
Reem Edwan, Shrideh Al-Omari, Mohammed Al-Smadi, Shaher Momani, Andreea Fulga   +4 more
doaj   +1 more source

An explicit method for convection-diffusion equations [PDF]

Japan Journal of Industrial and Applied Mathematics, 2009
The authors approximate convection-diffusion equations with dominant convection by discretizing in space with piecewise linear finite elements combining with a non-standard explicit Euler scheme for the time integration. They prove that the numerical solution is stable in the \(L^\infty\)-norm in both space and time.
Ruas, Vitoriano, Brasil Jr., Antonio, Trales, Paulo   +2 more
openaire   +2 more sources