Results 21 to 30 of about 278,997 (212)

The Regulator Problem to the Convection–Diffusion Equation

open access: yesMathematics, 2023
In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
doaj   +1 more source

Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation

open access: yesAdvances in Differential Equations, 2018
A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater pollution problems.
Lingyu Li, Ziwen Jiang, Zhe Yin
semanticscholar   +1 more source

A modified multiple-relaxation-time lattice Boltzmann model for convection-diffusion equation [PDF]

open access: yesJournal of Computational Physics, 2014
A modified lattice Boltzmann model with multiple relaxation times (MRT) for the convection-diffusion equation (CDE) is proposed. By modifying the relaxation matrix, as well as choosing the corresponding equilibrium distribution function properly, the ...
Rongzong Huang, Huiying Wu
semanticscholar   +1 more source

Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline

open access: yesMATEC Web of Conferences, 2016
In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation.
Ravi Kanth A.S.V., Deepika
doaj   +1 more source

Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems

open access: yesFractal and Fractional, 2023
The aim of this study is to utilize a differential quadrature method with various kernels, such as Lagrange interpolation and discrete singular convolution, to tackle problems related to the Riesz fractional diffusion equation and the Riesz fractional ...
Abdelfattah Mustafa   +4 more
doaj   +1 more source

An explicit method for convection-diffusion equations [PDF]

open access: yesJapan 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   +2 more
openaire   +2 more sources

Diffusion Convection Equation with Variable Nonlinearities

open access: yesJournal of Function Spaces, 2017
The paper studies diffusion convection equation with variable nonlinearities and degeneracy on the boundary. Unlike the usual Dirichlet boundary value, only a partial boundary value condition is imposed.
Huashui Zhan
doaj   +1 more source

Convection-diffusion-reaction equation with similarity solutions [PDF]

open access: yesChinese Journal of Physics, 2019
We consider similarity solutions of the generalized convection-diffusion-reaction equation with both space- and time-dependent convection, diffusion and reaction terms. By introducing the similarity variable, the reaction-diffusion equation is reduced to an ordinary differential equation. Matching the resulting ordinary differential equation with known
Ho, Choon-Lin, Yang, Chih-Min
openaire   +3 more sources

Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

open access: yesAin Shams Engineering Journal, 2018
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
doaj   +1 more source

Two-dimensional convection—diffusion problem solved using method of localized particular solutions

open access: yesMATEC Web of Conferences, 2017
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
doaj   +1 more source

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