Results 1 to 10 of about 90 (90)

Numeric Fem’s Solution for Space-Time Diffusion Partial Differential Equations with Caputo–Fabrizion and Riemann–Liouville Fractional Order’s Derivatives

Annales Mathematicae Silesianae, 2023
In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika, Baghli-Bendimerad Selma, Fečkan Michal   +2 more
doaj   +1 more source

An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem

Open Mathematics, 2022
In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj   +1 more source

Numerical simulation for nonlinear space-fractional reaction convection-diffusion equation with its application

Alexandria Engineering Journal, 2023
In this research, we adopt a fully implicit approach with a weighted shifted Grunwald–Letnikov difference operator to find the numerical solution of the one and two-dimensional nonlinear space fractional convection–diffusion-reaction equation over a ...
Eyaya Fekadie Anley, Merfat Basha, Arafat Hussain, Binxiang Dai   +3 more
doaj   +1 more source

An ultra-sparse approximation of kinetic solutions to spatially homogeneous flows of non-continuum gas

Results in Applied Mathematics, 2020
We consider a compact approximation of the kinetic velocity distribution function by a sum of isotropic Gaussian densities in the problem of spatially homogeneous relaxation.
Alexander Alekseenko, Amy Grandilli, Aihua Wood   +2 more
doaj   +1 more source

A note on the rate of convergence for Chebyshev-Lobatto and Radau systems

Open Mathematics, 2016
This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions.
Berriochoa Elías, Cachafeiro Alicia, Díaz Jaime, Martínez Eduardo   +3 more
doaj   +1 more source

ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation

SoftwareX, 2019
A high performance implementation of a discontinuous Galerkin discretization with explicit Runge–Kutta and arbitrary derivative (ADER) time integration schemes is presented to solve the acoustic wave equation.
S. Schoeder, W.A. Wall, M. Kronbichler
doaj   +1 more source

A fully discrete finite element scheme for the Derrida-Lebowitz-Speer-Spohn equation

Ingeniería y Ciencia, 2013
The Derrida-Lebowitz-Speer-Spohn (DLSS) equation is a fourth order in space non-linear evolution equation. This equation arises in the study of interface fluctuations in spin systems and quantum semiconductor modelling.
Jorge Mauricio Ruiz Vera, Ignacio Mantilla Prada   +1 more
doaj   +1 more source

The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations

Alexandria Engineering Journal, 2018
One acceptable technique in meshfree methods is collocation procedure based on the radial basis functions. But the mentioned technique is poor for solving problems that have shock (advection problems).
Mehdi Dehghan, Mostafa Abbaszadeh
doaj   +1 more source

Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives

Demonstratio Mathematica
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
doaj   +1 more source

Variational multiscale stabilized FEM for cardiovascular flows in complex arterial vessels under magnetic forces

Computational and Mathematical Biophysics
In this study, we present a variational multiscale stabilized finite element method for steady-state incompressible fluid flow under magnetic forces. In particular, an algebraic approach of approximating the subscales has been considered, and then, the ...
Sahoo Dipak Kumar, Rathi Anil, Kumar B. V. Rathish   +2 more
doaj   +1 more source