Results 71 to 80 of about 216,973 (262)
On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane
International Journal of Mathematics and Mathematical Sciences, 2012 The boundary value problem for the Laplace equation outside several cracks in a plane is studied. The jump of the solution of the Laplace equation and the boundary condition containing the jump of its normal derivative are specified on the cracks.
P. A. Krutitskii, A. Sasamoto
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Advanced Materials Technologies, EarlyView.Liquid metal direct writing is advanced from a technological and fundamental point. Utilizing a kinematic bed, printing on large surfaces with irregularities is enabled. Furthermore, a pressure‐driven flow during printing is discovered that affects the thickness of traces.
Maximilian Krack +15 more
wiley +1 more source
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
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Advanced Materials Technologies, EarlyView.This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding +5 more
wiley +1 more source
AIMS MathematicsMulti-term fractional diffusion equations can be regarded as a generalisation of fractional diffusion equations. In this paper, we develop an efficient meshless method for solving the multi-term time-space fractional diffusion equation. First, we use the
Zihan Yue +3 more
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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
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 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
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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
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Fast integral equation methods for the Laplace-Beltrami equation on the sphere [PDF]
, 2013 Integral equation methods for solving the Laplace-Beltrami equation on the unit sphere in the presence of multiple "islands" are presented. The surface of the sphere is first mapped to a multiply-connected region in the complex plane via a stereographic ...
A. Kropinski +2 more
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