SciELO

A chebyshev collocation spectral method for numerical simulation of incompressible flow problems

This paper concerns the numerical simulation of internal recirculating flows encompassing a two-dimensional viscous incompressible flow generated inside a regularized square driven cavity and over a ...
SciELO

An axisymmetric finite volume formulation for the solution of heat conduction problems using unstructured meshes

In this work, a finite volume formulation developed for two-dimensional models is extended to deal with axisymmetric models of heat conduction applications. This formulation uses a vertex centered ...
GitHub

SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties

The Julia library SummationByPartsOperators.jl provides a unified interface of different discretization approaches including finite difference, Fourier pseudospectral, continuous Galerkin, and ...
Scientific Research Publishing

An Efficient Explicit Scheme for Solving the 2D Heat Equation with Stability and Convergence Analysis ()

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...
Machine Design

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...
IEEE

A 3-D Hybrid Implicit Explicit Single-Field Finite-Difference Time-Domain Method

Abstract: This paper presents a new 3-D hybrid implicit explicit (HIE) finite-difference time-domain (FDTD) method with a stability criterion relaxed from the discretization space steps in one ...
GitHub

Applied Partial Differential Equations

Learn how to classify PDEs,and apply and visualize characteristic and finite difference solution methods. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...
IEEE

An unconditionally stable scheme for the finite-difference time-domain method

Abstract: In this work, we propose a numerical method to obtain an unconditionally stable solution for the finite-difference time-domain (FDTD) method for the TE/sub z/ case. This new method does not ...
Nature

Finite-difference time-domain methods

The finite-difference time-domain (FDTD) method is a widespread numerical tool for full-wave analysis of electromagnetic fields in complex media and for detailed geometries. Applications of the FDTD ...
Frontiers

Finite difference schemes for MHD mixed convective Darcy–forchheimer flow of Non-Newtonian fluid over oscillatory sheet: A computational study

This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order ...
Nature

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling

Implicit staggered-grid finite-difference (SGFD) methods are widely used for the first-order acoustic wave-equation modeling. The identical implicit SGFD operator is commonly used for all of the first ...
Scientific Research Publishing

FEM and EFG Quasi-Static Explicit Buckling Analysis for Thin-Walled Members ()

The quasi-static explicit finite element method (FEM) and element free Galerkin (EFG) method are applied to trace the post-buckling equilibrium path of thin-walled members in this paper. The factors ...