Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations

A González-Calderón, LX Vivas-Cruz… - … and Computers in …, 2023 - Elsevier
The performance of the hyperbolic–numerical inverse Laplace transform (hyperbolic-NILT)
method is evaluated when it is used to solve time-fractional ordinary and partial differential …

Hybrid finite element and laplace transform method for efficient numerical solutions of fractional PDEs on graphics processing units

LX Vivas-Cruz, A González-Calderón… - Physica …, 2024 - iopscience.iop.org
Abstract Fractional Partial Differential equations (FPDEs) are essential for modeling complex
systems across various scientific and engineering areas. However, efficiently solving FPDEs …

Application of numerical inverse Laplace transform methods for simulation of distributed systems with fractional-order elements

NAZ R-Smith, A Kartci, L Brančík - Journal of Circuits, Systems and …, 2018 - World Scientific
The paper presents a computationally efficient method for modeling and simulating
distributed systems with lossy transmission line (TL) including multiconductor ones, by a less …

Numerical laplace inversion method for through-silicon via (TSV) noise coupling in 3D-IC design

K Ait Belaid, H Belahrach, H Ayad - Electronics, 2019 - mdpi.com
Typical 3D integrated circuit structures based on through-silicon vias (TSVs) are complicated
to study and analyze. Therefore, it seems important to find some methods to investigate …

Fractional-order lossy transmission line with skin effect using NILT method

NAZ R-Smith, A Kartci, L Brančík - 2017 40th International …, 2017 - ieeexplore.ieee.org
The paper describes a method of modelling lossy transmission lines with frequency
dependent parameters in the fractional-order domain. It is shown that in high frequency …

Matlab simulation of transmission lines with skin effect via fractional telegraph equations and NILT

L Branĉík, A Kartci, NAZ R-Smith - 2017 27th EAEEIE Annual …, 2017 - ieeexplore.ieee.org
The paper deals with the methods of simulation of signal propagation on transmission lines
when skin effect is taken into account. Such simulations are useful when solving signal …

Modeling and analyzing coupling noise effect of Cu-carbon nanotube composite through-silicon vias interconnects using NILT based

BK Ait, H Belahrach, H Ayad… - Serbian Journal of …, 2023 - doiserbia.nb.rs
In the modern field of microelectronics, the performance of interconnects tends to decrease
as the technology node advances. Therefore, Cu-CNT composite TSV interconnects are …

Nonuniform lossy transmission lines with fractional-order elements using NILT method

NAZ R-Smith, L Brančík - 2017 Progress in Electromagnetics …, 2017 - ieeexplore.ieee.org
The paper introduces a generalization of non-uniform lossy transmission line modeling
approach in the fractional-order domain. The concept is based on proposing fractional-order …

Numerical simulation of nonuniform multiconductor transmission lines with hf losses in matlab: Laplace-domain and time-domain approaches

L Brančík, NAZ R-Smith, A Kartci - 2018 28th International …, 2018 - ieeexplore.ieee.org
The paper describes two approaches to a numerical simulation of waves propagation on
multiconductor transmission lines (MTL) in case the additional losses at high frequencies …

Proposed Hyperbolic NILT Method—Acceleration Techniques and Two-Dimensional Expansion for Electrical Engineering Applications

NALZ R-SMITH, L BRANČÍK - IEICE Transactions on …, 2018 - search.ieice.org
Numerical inverse Laplace transform (NILT) methods are potential methods for time domain
simulations, for instance the analysis of the transient phenomena in systems with lumped …