Results 61 to 70 of about 18,359 (260)
The Fourier Regularization for Solving a Cauchy Problem for the Laplace Equation with Uncertainty
AxiomsThe Laplace equation is an important partial differential equation, typically used to describe the properties of steady-state distributions or passive fields in physical phenomena.
Xiaoya Liu, Yiliang He, Hong Yang
doaj +1 more source
AIChE Journal, EarlyView.Abstract Emulsion separation remains a persistent challenge in chemical and process industries due to the metastable nature of dispersed droplets. In gravity separators, the overall separation rate is governed by the formation of a densely packed zone (DPZ) of deforming and coalescing droplets that mediates between the dispersed and continuous phases ...
Andrei Zlobin +8 more
wiley +1 more source
He–Laplace method for nonlinear vibration systems and nonlinear wave equations
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This study suggests a new approach for solving telegraph equation, commonly called damped wave equation, arising in electromagnetic waves and propagation of electrical signals.
Muhammad Nadeem, Fengquan Li
doaj +1 more source
Approximate analytical solutions of distributed order fractional Riccati differential equation
Ain Shams Engineering Journal, 2018 In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah +2 more
doaj +1 more source
On the solution of two-dimensional fractional Black–Scholes equation for European put option
Advances in Difference Equations, 2020 The purpose of this paper was to investigate the dynamics of the option pricing in the market through the two-dimensional time fractional-order Black–Scholes equation for a European put option.
Din Prathumwan, Kamonchat Trachoo
doaj +1 more source
Membrane‐aided simultaneous reaction–separation for liquid phase products
AIChE Journal, EarlyView.Abstract Conventionally, reaction and separation are conducted as separate steps in liquid‐phase manufacturing, with products formed during reaction and subsequently separated from unreacted reagents, solvents, and byproducts. Integrating these steps into a simultaneous reaction–separation process can improve efficiency and reduce costs.
Yihan Song +4 more
wiley +1 more source
DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties
Results in PhysicsA combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for a spatio-temporal coefficient modified Helmholtz-type equation with arbitrary initial conditions and source terms, addressing ...
Mohammad Ivan Azis
doaj +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.A physics‐guided deep learning framework, ParamNet, is introduced for the intelligent self‐inversion of vacuum optical tweezers. By fuzing dual‐branch time–frequency features with physical dynamical constraints, it achieves high‐accuracy calibration of trap parameters from short‐window, low‐frequency trajectories, outperforming traditional methods ...
Qi Zheng +4 more
wiley +1 more source