Results 11 to 20 of about 305,582 (332)

Deep learning-based schemes for singularly perturbed convection-diffusion problems* [PDF]

ESAIM: Proceedings and Surveys, 2023
Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs).
Beguinet Adrien, Ehrlacher Virginie, Flenghi Roberta, Fuente Maria, Mula Olga, Somacal Agustin   +5 more
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

Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations

Boundary Value Problems, 2022
Convection-diffusion equation is widely used to describe many engineering and physical problems. The finite element method is one of the most common tools for computing numerical solution. In 2003, Wang et al.
Lanyin Sun, Fangming Su
doaj   +1 more source

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

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   +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

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

Frontiers in Applied Mathematics and Statistics, 2023
This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems.
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 more
doaj   +1 more source

High-Effectiveness and -Accuracy Difference Scheme Based on Nonuniform Grids for Solving Convection–Diffusion Equations with Boundary Layers

Axioms, 2023
In this paper, some rational high-accuracy compact finite difference schemes on nonuniform grids (NRHOC) are introduced for solving convection–diffusion equations.
Fang Tian, Mingjing Wang, Yongbin Ge
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

Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This study numerically derived the higher order convergence for a class of singularly perturbed Fredholm integro differential equations with reaction diffusion and convection diffusion type problems.
P. Antony Prince , L. Govindarao , Sekar Elango   +2 more
doaj   +1 more source

Computational method for singularly perturbed two-parameter parabolic convection-diffusion problems

Cogent Mathematics & Statistics, 2020
This paper deals with the numerical solution of singularly perturbed parabolic convection-diffusion problems with two small positive parameters multiplying the convection and diffusion terms. A parameter-uniform computational method is developed to solve
T. Mekonnen, G. Duressa
semanticscholar   +1 more source