Results 31 to 40 of about 281,878 (266)

Application of the Fourier method to solve the problems of the theory of drying by electromagnetic radiation

open access: yesФизика волновых процессов и радиотехнические системы, 2019
On the basis of the idea of splitting the process into physical factors, using the Fourier method and the green function apparatus, an algorithm for constructing a new class of solutions to the initial boundary value problems of the theory of drying by ...
A.M. Afanasiev   +2 more
doaj   +1 more source

Rayleigh angle incident ultrasonic beam shape design influence on reflected beam

open access: yesActa Acustica, 2023
Current evolutions in transducer design, such as phased arrays, but more importantly, metamaterials-based acoustic lenses, potentially enable generating specific beam shapes earlier unconsidered.
Declercq Nico F.
doaj   +1 more source

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. II

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
In this paper we continue to investigate the properties of the problem with nonlocal conditions, which are multipoint perturbations of mixed boundary conditions, started in the first part.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Direct and inverse problems for thermal grooving by surface diffusion with time dependent Mullins coefficient

open access: yesMathematical Modelling and Analysis, 2021
We consider the Mullins’ equation of a single surface grooving when the surface diffusion is not considered as very slow. This problem can be formed by a surface grooving of profiles in a finite space region.
Mansur I. Ismailov
doaj   +1 more source

The nonlocal multipoint problem with Dirichlet-type conditions for an ordinary differential equation of even order with involution

open access: yesМатематичні Студії, 2020
The spectral properties of the nonself-adjoint problem with multipoint perturbations of the Dirichlet conditions for differential operator of order $2n$ with involution are investigated. The system of eigenfunctions of a multipoint problem is constructed.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Fourier method in the space of φB - distributions

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2023
In our previous articles, we introduced and explored the notion of φB -distributions with values in the Banach space. This offers a new perspective on the theory of solvability of linear problems, which is important for solving partial differential ...
V. S. Mokeichev, A. M. Sidorov
doaj   +1 more source

Boundary problem for the singular heat equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2017
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
doaj   +1 more source

On Solvability of An Inverse Boundary Value Problem For The Elliptic Equation Of Second Order With Periodic And Integral Condition

open access: yesCumhuriyet Science Journal, 2019
An inverse boundary value problem for asecond-order elliptic equation with periodic and integral condition isinvestigated. The definition of a classical solution of the problem isintroduced.
N.a. Heydarzade   +2 more
doaj   +1 more source

Fourier Ptychographic Reconstruction Method of Self-Training Physical Model

open access: yesApplied Sciences, 2023
Fourier ptychographic microscopy is a new microscopic computational imaging technology. A series of low-resolution intensity images are collected by a Fourier ptychographic microscopy system, and high-resolution intensity and phase images are ...
Xiaoli Wang   +6 more
doaj   +1 more source

Fourier Spectral Methods for Nonlocal Models [PDF]

open access: yesJournal of Peridynamics and Nonlocal Modeling, 2020
Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace operators introduced in a previous work. It is demonstrated that the Fourier multipliers, and the eigenvalues in particular, can be computed accurately and efficiently.
Bacim Alali, Nathan Albin
openaire   +2 more sources

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