IEEE

A 2-D Parameter-Optimized Spatial Finite-Difference Temporal Differential Method With Dispersion-Controllable Properties

Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...
Nature

An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method

This paper presents a numerical meshless approach for solving the two-dimensional Allen-Cahn equation, utilizing a radial basis function-compact finite difference (RBF-CFD) method in combination with ...
IEEE

High-Precision Controllable-Stability Conformal Finite-Difference Time-Domain Method

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...
Frontiers

Studies of three dimensional stagged-grid finite difference for Z-axis tipper electromagnetic numerical simulation

ZTEM (Z-Axis Tipper Electromagnetic System) is a frequency-domain airborne electromagnetic exploration method that utilizes natural field sources. This method is highly efficient and capable of ...
Scientific Research Publishing

Li, R., Chen, Z. and Wu, W. (2000) Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods. CRC Press.

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...
Frontiers

Innovative stochastic finite difference approach for modelling unsteady non-Newtonian mixed convective fluid flow with variable thermal conductivity and mass diffusivity

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...
Scientific Research Publishing

Efficient Finite Difference Methods for the Numerical Analysis of One-Dimensional Heat Equation ()

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...
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 ...
C&EN

Numerical Simulation on Insoluble Surfactant Mass Transfer on Deformable Bubble Interface in a Couette Flow by Phase-Field Lattice Boltzmann Method–Finite-Difference Method ...

Institute of Chemical & Environmental Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key ...
LinkedIn

Finite Element Method (FEM), Finite Difference Method (FDM), and Finite Volume Method (FVM) in fluid dynamics and hydraulic simulations

Finite Element Method (FEM), Finite Difference Method (FDM), and Finite Volume Method (FVM) are numerical techniques commonly used in fluid dynamics and hydraulic simulations. Here's a comparison of ...
LinkedIn

Numerical Methods in Geotechnical Engineering (2) - Finite Difference Method

In the evolutionary process of numerical modeling, finite difference method was the logical choice to the geotechnical engineers as they were conversant with the concept of differential equations. The ...