Results 31 to 40 of about 145,133 (276)

Laplace transform pairs of N-dimensions

International Journal of Mathematics and Mathematical Sciences, 1985
In this paper I prove a theorem to obtain new n-dimensional Laplace transform pairs.
R. S. Dahiya
doaj   +1 more source

Numerical Solution of Advection–Diffusion Equation of Fractional Order Using Chebyshev Collocation Method

Fractal and Fractional, 2023
This work presents a highly accurate method for the numerical solution of the advection–diffusion equation of fractional order. In our proposed method, we apply the Laplace transform to handle the time-fractional derivative and utilize the Chebyshev ...
Farman Ali Shah, Kamran, Wadii Boulila, Anis Koubaa, Nabil Mlaiki   +4 more
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Dispensing Volumetric Additive Manufacturing

Advanced Functional Materials, EarlyView.
Dispensing volumetric additive manufacturing (DVAM) prints 3D structures inside a photocurable resin droplet suspended from the tip of a glass pipette, enabling sequential printing without resin vats or manual part removal. Real‐time droplet profiling and ray‐tracing‐based correction compensate for optical distortion at the curved resin‐air interface ...
Hongryung Jeon, Yunsoo Lee, Seobin Park, Kyung‐Hwan Kim, Junyoung Seo, Im Doo Jung   +5 more
wiley   +1 more source

Image Coding Using Laplace Transform

ITM Web of Conferences, 2018
In this paper a different cryptographic method is introduced by using Power series transform. A new algorithm for cryptography is produced. The extended Laplace transform of the exponential function is used to encode an explicit text.
Gençoǧlu Muharrem Tuncay, Vural Mehmet
doaj   +1 more source

Analysis for pressure transient of coalbed methane reservoir based on Laplace transform finite difference method

Petroleum, 2015
Based on fractal geometry, fractal medium of coalbed methane mathematical model is established by Langmuir isotherm adsorption formula, Fick's diffusion law, Laplace transform formula, considering the well bore storage effect and skin effect. The Laplace
Lei Wang, Hongjun Yin, Xiaoshuang Yang, Chuncheng Yang, Jing Fu   +4 more
doaj   +1 more source

The Laplace Transform of Quantum Gravity

Universe, 2022
Following analogies with relativistic point particles and Schild strings, we show that the Einstein gravity and its strong coupling regime (or the Planck mass going to zero) are related to each other through a Laplace transform. The Feynman propagator of
Jorge Gamboa, Fernando Méndez, Natalia Tapia-Arellano   +2 more
doaj   +1 more source

Dynamics, Laplace transform and Spectral geometry

, 2005
We consider a vector field $X$ on a closed manifold which admits a Lyapunov one form. We assume $X$ has Morse type zeros, satisfies the Morse--Smale transversality condition and has non-degenerate closed trajectories only.
Austin, Bismut, Burghelea, Burghelea, Burghelea, Dan Burghelea, Fried, Hutchings, Illies, Kupka, Mathai, Milnor, Novikov, Pajitnov, Pajitnov, Pajitnov, Peixoto, Ray, Smale, Stefan Haller, Turaev   +20 more
core   +2 more sources

Understanding the Effects of Conductive Polymer Electrode Coating on Recorded Neural Signals

Advanced Healthcare Materials, EarlyView.
Conductive polymer coatings are widely explored to improve the quality of signals recorded with chronically implanted neural electrodes, offering enhanced biocompatibility along with reduced electrode impedance. Combining computational modelling and data from PEDOT:PTS coated and PtIr electrodes in rats, we show that improvements in signal quality with
Karthik Sridhar, Judith Evers, Alexandre Trotier, Manus Biggs, Madeleine M. Lowery   +4 more
wiley   +1 more source

A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method

Open Physics
Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study, we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu derivatives. It becomes challenging to find the analytical solution to these
Kamran, Asif Muhammad, Mukheimer Aiman, Shah Kamal, Abdeljawad Thabet, Alotaibi Fahad M.   +5 more
doaj   +1 more source