Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach. [PDF]
Sci Rep, 2022 Algehyne EA +6 more
europepmc +1 more source
A Prefixed Patch Time Series Transformer for Two-Point Boundary Value Problems in Three-Body Problems [PDF]
arXivTwo-point boundary value problems for cislunar trajectories present significant challenges in circler restricted three body problem, making traditional analytical methods like Lambert's problem inapplicable. This study proposes a novel approach using a prefixed patch time series Transformer model that automates the solution of two-point boundary value ...
arxiv
Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries [PDF]
arXiv, 2014 In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in $\mathbb{R}^n$, from a knowledge, in a finite time observation, of overdetermined boundary data for initial boundary value problem for anisotropic wave equation.
arxiv
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Advanced Engineering Materials, EarlyView.Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Wellposedness of Neumann boundary-value problems of space-fractional differential equations [PDF]
arXiv, 2016 Fractional differential equation (FDE) provides an accurate description of transport processes that exhibit anomalous diffusion but introduces new mathematical difficulties that have not been encountered in the context of integer-order differential equation.
arxiv
A supplement to ``On transference of boundary value problems'' [PDF]
, 1954 Yûsaku Komatu
openalex +1 more source
The factorization technique for difference equations [PDF]
arXiv, 2015 We study multidimensional difference equations with a continual variable in the Sobolev--Slobodetskii spaces. Using ideas and methods of the theory of boundary value problems for elliptic pseudo differential equations we suggest to consider certain boundary value problems for such difference equations. Special boundary conditions permit to prove unique
arxiv
On a singular boundary value problem
Journal of Mathematical Analysis and Applications, 1970 AbstractThe purpose of this paper is to establish sufficient conditions for the existence and uniqueness of solution of the boundary value problem u″ = f(t, u, u′); (1) limt→0u(t)=0, limt→1u(t)=0. (2) It is assumed that the function f(t, x, y) is defined on the domain 0 < t < 1, −∞ < x, y < +∞, measurable in t for every x, y ϵ (−∞, +∞) and continuous ...
openaire +2 more sources
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source
A boundary value problem for a system of ordinary linear differential equations of the first order [PDF]
, 1926 Gilbert Ames Bliss
openalex +1 more source