Results 11 to 20 of about 38,319 (96)

Non-standard and Numerov finite difference schemes for finite difference time domain method to solve one-dimensional Schrödinger equation

Journal of Physics: Theories and Applications, 2018
The purpose of  this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
doaj   +1 more source

Trapezoid-Grid Finite-Difference Time-Domain Method for 3D Seismic Wavefield Modeling Using CPML Absorbing Boundary Condition

Frontiers in Earth Science, 2022
The large computational memory requirement is an important issue in 3D large-scale wave modeling, especially for GPU calculation. Based on the observation that wave propagation velocity tends to gradually increase with depth, we propose a 3D trapezoid ...
Bangyu Wu, Bangyu Wu, Wenzhuo Tan, Wenzhuo Tan, Wenhao Xu, Bo Li   +5 more
doaj   +1 more source

Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations [PDF]

Mathematica Bohemica
Firstly we study the growth of meromorphic solutions of linear difference equation of the form A_k(z)f(z+c_k)+\cdots+A_1(z)f(z+c_1)+A_0(z)f(z)=F(z), where $A_k(z),\ldots,A_0(z)$ and $F(z)$ are meromorphic functions of finite logarithmic order, $c_i$
Abdelkader Dahmani, Benharrat Belaïdi
doaj   +1 more source

An improved method for inhomogeneous space grid in the simulation of unsaturated flow

Shuiwen dizhi gongcheng dizhi, 2023
The Richards’ equation is widely used in the simulation of unsaturated flow and related fields. In the numerical solution process, the finite difference method can be used to carry out numerical discretization and iterative calculation. However, in order
Shuairun ZHU, Bo HE, Lizhou WU, Shaohong LI, Yiwei QING   +4 more
doaj   +1 more source

Unconditionally positive finite difference and standard explicit finite difference schemes for power flow equation [PDF]

The University Thought: Publication in Natural Sciences, 2019
Power flow equation for step-index glass optical fiber was solved using recently reported unconditionally-positive finite difference (UPFD) scheme. Solution obtained using UPFD scheme was compared with solution obtained using standard explicit finite ...
Drljača Branko, Savović Svetislav
doaj  

On numerical soliton and convergence analysis of Benjamin-Bona-Mahony-Burger equation via octic B-spline collocation

Arab Journal of Basic and Applied Sciences, 2023
In this work, we employ an octic B-spline function to construct a collocation technique for obtaining solutions to soliton on Benjamin-Bona-Mahony-Burgers (BBMB) equation.
Saumya Ranjan Jena, Archana Senapati
doaj   +1 more source

A Method for Modeling Acoustic Waves in Moving Subdomains

Acoustics, 2022
Forward modeling plays a key role in both the creation of predictive models and the study of the surrounding environment through inversion methods. Due to their competitive computational cost and modest algorithmic complexity, finite difference methods ...
Milan Brankovic, Mark E. Everett
doaj   +1 more source

Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain

MethodsX, 2023
This paper reports a new fourth order Finite Difference Method (FDM) in exponential form for two-dimensional quasilinear boundary value problem of elliptic type (BVPE) with variant solution domain.
Nikita Setia, R.K. Mohanty
doaj  

Method to Estimate Thermal Transients in Reactors and Determine Their Parameter Sensitivities without a Forward Simulation

Energies, 2022
Thermal response time is an important parameter for the control of fast reactors. Modern thermal hydraulic codes allow for the modeling of transient responses and can also be used to understand the dominant factors that affect them.
Sydney A. Holdampf, Andrew G. Osborne, Mark R. Deinert   +2 more
doaj   +1 more source

A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data

MethodsX, 2023
We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain.
Nirmali Roy, Anuradha Jha
doaj