Results 51 to 60 of about 379 (111)

A Computational Method for the Time-Fractional Navier-Stokes Equation

open access: yesCumhuriyet Science Journal, 2018
In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj   +1 more source

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

open access: yesAlexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
doaj   +1 more source

LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation

open access: yesResults in Applied Mathematics, 2019
In this paper, we propose new local discontinuous Galerkin (LDG) schemes for solving a time fractional sub-diffusion equation. The new LDG schemes is constructed rely on the splitting of time fractional derivative and space derivative.
Can Li, Xiaorui Sun, Fengqun Zhao
doaj   +1 more source

On the Two-phase Fractional Stefan Problem

open access: yesAdvanced Nonlinear Studies, 2020
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix   +2 more
doaj   +1 more source

Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics
Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
doaj   +1 more source

Observability inequality for the spatial discretization of weakly coupled 2d-wave equations

open access: yesDemonstratio Mathematica
This study addresses the problem of indirect boundary observability for a spatial semi-discretization of weakly coupled two-dimensional wave equations. The discretization is performed using a finite difference method on a uniform mesh. More specifically,
Beljadid Lahcen   +2 more
doaj   +1 more source

Modelling of thermal damage process in soft tissue subjected to laser irradiation

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2018
The numerical analysis of thermal damage process proceeding in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional.
M. Jasiński
semanticscholar   +1 more source

One dimensional phononic FDTD algorithm and transfer matrix method implementation for Severin aperiodic multilayer

open access: yes, 2017
In this paper, the power spectrum and phononic properties of the quasi onedimensional Severin aperiodic multilayer was investigated. Multilayer phononic structures with their phononic band gap properties can be used as filters of mechanical waves. In the
S. Garus, W. Sochacki
semanticscholar   +1 more source

‘The Equator–Pole grid system’: an overset grid system for the sphere, with an optimal uniformity property

open access: yesTellus: Series A, Dynamic Meteorology and Oceanography, 2018
This article proposes a new grid system for the sphere, which consists of three orthogonal and almost uniform grids. The basic one is a latitude-longitude grid covering an annular band around the equator.
Göran Starius
doaj   +1 more source

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