Results 1 to 10 of about 116,537 (169)

Layer resolving numerical scheme for singularly perturbed parabolic convection-diffusion problem with an interior layer [PDF]

MethodsX, 2023
Singularly perturbed parabolic convection-diffusion problem with interior layer is a type of singularly perturbed boundary value problems which have sign change properties in the coefficient function of the convection term.
Gemadi Roba Kusi, Aknaw Hailemariam Habte, Tesfaye Aga Bullo   +2 more
doaj   +2 more sources

Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems [PDF]

Applied Numerical Mathematics, 2013
Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gau{\ss}-Lobatto type for higher-order streamline diffusion FEM.
Franz, Sebastian
core   +3 more sources

Homogenization of reaction-diffusion equations in fractured porous media

Electronic Journal of Differential Equations, 2015
The article studies the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic.
Hermann Douanla, Jean Louis Woukeng
doaj   +3 more sources

Hermite Method of Approximate Particular Solutions for Solving Time-Dependent Convection-Diffusion-Reaction Problems

Mathematics, 2022
This article describes the development of the Hermite method of approximate particular solutions (MAPS) to solve time-dependent convection-diffusion-reaction problems.
Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai   +2 more
doaj   +1 more source

The Regulator Problem to the Convection–Diffusion Equation

Mathematics, 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

Fujita type theorem for a class of coupled quasilinear convection–diffusion equations

Boundary Value Problems, 2021
In this paper, we establish the Fujita type theorem for a homogeneous Neumann outer problem of the coupled quasilinear convection–diffusion equations and formulate the critical Fujita exponent. Besides, the influence of diffusion term, reaction term, and
Yanan Zhou, Yan Leng, Yuanyuan Nie
doaj   +1 more source

Numerical Treatment of Uniformly Convergent Method for Convection Diffusion Problem

Journal of New Theory, 2022
In this paper, we will study the convergence properties of the method designed for the convection-diffusion problem. We will prove that the analytical and numerical methods give the same result.
Ali Filiz
doaj   +1 more source

Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

Mehran University Research Journal of Engineering and Technology, 2023
The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet.
Muhammad Memon, Khuda Bux Amur, Wajid Ali Shaikh   +2 more
doaj   +1 more source

The Cheng-Minkowycz problem for quadratic convective and radiative heat transfer in a nanofluid saturated porous medium: A revised model

Case Studies in Thermal Engineering, 2023
The characteristics of heat transport in a porous medium saturated by a nanoliquid subject to non-linear variations of density-temperature relation and a novel quadratic thermal radiation are studied.
Puneet Rana, Akash Kumar, Sarita Pippal
doaj   +1 more source

Finite Difference Method for Two-Sided Two Dimensional Space Fractional Convection-Diffusion Problem with Source Term

Mathematics, 2020
In this paper, we have considered a numerical difference approximation for solving two-dimensional Riesz space fractional convection-diffusion problem with source term over a finite domain. The convection and diffusion equation can depend on both spatial
Eyaya Fekadie Anley, Zhoushun Zheng
doaj   +1 more source