Results 51 to 60 of about 8,233 (293)

2D-xtDCR-LTBEM: A Fortran code for numerical solutions to the unsteady anisotropic-DCR equation of spatio-temporal coefficients

SoftwareX, 2023
Variable coefficient equations are usually used as governing equations for modeling problems which are associated with Functionally Graded Materials (FGM).
Mohammad Ivan Azis
doaj   +1 more source

An Efficient Parallel Laplace Transform Spectral Element Method for the Two-Dimensional Schrödinger Equation

Mathematical Problems in Engineering, 2022
In this paper, a parallel Laplace transform spectral element method for the linear Schrödinger equation and the cubic nonlinear Schrödinger equation is introduced. The main advantage of this new scheme is that it has the high accuracy of spectral methods and the parallel efficiency of the Laplace transform method. The key idea is twofold.
openaire   +1 more source

Multi-dimensional Laplace transforms and applications

, 1988
In this dissertation we establish new theorems for computing certain types of multidimensional Laplace transform pairs from known one-dimensional Laplace transforms.
Mughrabi, Tahsin
core   +1 more source

Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method

Advanced Science, EarlyView.
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas, Daniëlle C. A. Duffhues, Pim van den Bersselaar, Sarah Pragnere, Bart G. W. Groenen, Mariana Azevedo Gonzalez Oliva, Giuseppe Ciccone, Manuel Salmeron‐Sanchez, Carlijn V. C. Bouten, Jose J. Muñoz, Vito Conte   +10 more
wiley   +1 more source

Employing the Double Natural Generalized Laplace Transform to Solve Singular Boussinesq Equations in Two Dimensions

Fractal and Fractional
The double natural generalized Laplace transform decomposition method (DNGLTDM) is proposed as a new approach for solving singular linear and non-linear two-dimensional Boussinesq equations involving fractional partial derivatives.
Hassan Eltayeb, Shayea Aldossari
doaj   +1 more source

An analytical model for simulating two-dimensional multispecies plume migration [PDF]

Hydrology and Earth System Sciences, 2016
The two-dimensional advection-dispersion equations coupled with sequential first-order decay reactions involving arbitrary number of species in groundwater system is considered to predict the two-dimensional plume behavior of decaying contaminant such as
J.-S. Chen, C.-P. Liang, C.-W. Liu, L. Y. Li   +3 more
doaj   +1 more source

On the N-Dimensional Inversion Laplace Transform of Retarded, Lorentz Invariant Functions

, 1993
The purpose of this paper is to obtain n-dimensional inversion Laplace transform of retarded, Lorentz invariant functions by means of the passage to the limit of the rth-order derivative of the one-dimensional Laplace transform.
Trione, S.E.
core   +1 more source

A Triple‐Nanoparticle System for Controlled Graphene Nanosheet Stacking: Enabling K/Na‐Ion Battery Anodes with Ultra‐Fast Charging Exceeding Petroleum Vehicle Refueling

Advanced Science, EarlyView.
ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding, Le Zhang, Hang Li, Yang Zhang, Guoquan Suo, Bin Han, Dongfeng Sun, Wenqi Zhao, Gaohui Du, Qingmei Su, Bingshe Xu, Zhen Xu, Wei Wang   +12 more
wiley   +1 more source

Multiscale Architecture and Mechanics of the Cell Nucleus: Implications for Disease, Bioengineering and Nanomedicine

Advanced Science, EarlyView.
Nuclear mechanical properties are inherently scale‐dependent, arising from a hierarchical architecture that spans DNA, chromatin, the nuclear envelope, and condensates. Experimental techniques and theoretical models are integrated into a cohesive multiscale framework linking nanoscale structural features to organelle‐level mechanical behavior.
Xinran Liu, Xin Chen, Qingyang Zhao, Weikang Tan, Lingrui Zhu, Kin Liao, Vincent Chan, Nicolae Goga, Winfred O. Larkotey, Yang Li, Yinghui Shi, Wenya Shu, Lin Wang, Weiqing Wang, Tian Jian Lu, Yulong Han   +15 more
wiley   +1 more source

Numerical Processing of The Two Dimensional Inverse Laplace Transform and Its Application to Equation of Heat Conduction [PDF]

, 1982
The numerical inversion of the Laplace transform is used effectively in many fields where analytical processing is difficult or impossible. The same situation occurs in the two dimensional inverse Laplace transform.
ICHIKAWA, Satoshi
core