Results 21 to 30 of about 51,201 (262)

A Laplace transform finite difference scheme for the Fisher-KPP equation

Journal of Algorithms & Computational Technology, 2021
This paper proposes a numerical approach to the solution of the Fisher-KPP reaction-diffusion equation in which the space variable is developed using a purely finite difference scheme and the time development is obtained using a hybrid Laplace Transform ...
Colin L Defreitas, Steve J Kane
doaj   +1 more source

Staggered Finite Difference Schemes for Conservation Laws [PDF]

Journal of Scientific Computing, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriella Puppo, Giovanni Russo 0001
openaire   +5 more sources

Finite‐difference scheme for one problem of nonlinear optics

Mathematical Modelling and Analysis, 2008
We consider a mathematical model, which describes Q‐switching process. The finite difference scheme is developed for approximation of the given system of nonlinear PDEs.
Ingrida Laukaityte, Raimondas Čiegis
doaj   +1 more source

Finite difference scheme for multi-term variable-order fractional diffusion equation

Advances in Difference Equations, 2018
In this paper, we consider a multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α(x,t)∈(0,1) $\alpha(x,t) \in(0,1) $ and the Riesz variable-order space ...
Tao Xu, Shujuan Lü, Wenping Chen, Hu Chen   +3 more
doaj   +1 more source

Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation [PDF]

Advances in Difference Equations, 2014
Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation.
Zhang, Lei, Wang, Lisha, Ding, Xiaohua
openaire   +2 more sources

A finite difference scheme for the two-dimensional sine-Gordon equation [PDF]

Delta Journal of Science
The sine-Gordon (SG) equation is a fundamental aspect of nonlinear physics. It models a wide range of phenomena in many scientific fields. While its mathematical structure allows analytical solutions under certain conditions, the complexity of real-world
A. Soliman, Manar Dahshan, Ahmed Elgazzar   +2 more
doaj   +1 more source

Deep FDM: Enhanced finite difference methods by deep learning

Franklin Open, 2023
In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká, Matthias Ehrhardt, Michael Günther   +2 more
doaj   +1 more source

Finite-difference schemes for anisotropic diffusion

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van Es, Bram, Koren, Barry, de Blank, Hugo J.   +2 more
openaire   +3 more sources

Finite difference schemes for multilayer diffusion

Mathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. I. Hickson, Steven I. Barry, Geoff N. Mercer, Harvinder S. Sidhu   +3 more
openaire   +2 more sources

Temporal Interference Stimulation of Centromedian‐Parafascicular Complex in Disorders of Consciousness: A Pilot Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Treatment of disorders of consciousness (DoC) remains a major clinical challenge, and noninvasive, targeted modulation of deep brain structures has emerged as a promising therapeutic strategy. We aimed to evaluate the feasibility/safety and preliminary effects of thalamic temporal interference stimulation (TIS) targeting centromedian‐
Gengyao Hu, Changgeng Song, Dianwei Wu, Xiaoqian Niu, Jianmin Hao, Lijuan Liu, Xiaogang Kang, Wen Jiang   +7 more
wiley   +1 more source