Results 21 to 30 of about 33,815,075 (304)

Analytical solution of the space-time fractional reaction-diffusion equation with variable coefficients

open access: yesСовременная математика: Фундаментальные направления, 2023
In this paper, we solve the problem of an inhomogeneous one-dimensional fractional differential reaction-diffusion equation with variable coefficients (1.1)-(1.2) by the method of separation of variables (the Fourier method).
E. I. Mahmoud
doaj   +1 more source

Method for Calculating Transients in a Gas Pipeline

open access: yesИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2021
Abstaract. An analytical solution of a system of partial differential equations describing the unsteady isothermal flow of real gases in gas pipelines is considered.
A. S. Fikov
doaj   +1 more source

A Fourier method for the fractional diffusion equation describing sub-diffusion

open access: yesJournal of Computational Physics, 2007
Chang-Ming Chen, F Liu, Ian Turner
exaly   +2 more sources

Mixed problem for the singular partial differential equation of parabolic type

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
The scheme for solving of a mixed problem is proposed for a differential equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(c(x)\frac{\partial T}{\partial x}\right) -g(x)\, T\] with coefficients $a(x)$, $g(x)$ that are the
O.V. Makhnei
doaj   +1 more source

Adaptive Fourier-Galerkin methods

open access: yesMathematics of Computation, 2013
We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d
C. Canuto, R. H. Nochetto, VERANI, MARCO
openaire   +4 more sources

Complex assessment of variability for the sea surface temperature in the North-West Pacific in July-September 1950-2014

open access: yesИзвестия ТИНРО, 2016
Trend significance is evaluated and periodicities are revealed for time series of the sea surface temperature in the North-West Pacific. The dominant periods are selected using Fourier method under the assumption of linear trend existing over ...
Tatyana A. Shatilina   +2 more
doaj   +1 more source

Mathematical Simulations of Deformation for the Rotation Shells with Variable Wall Thickness

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
Well-posed boundary value problems are constructed for calculating rotation shells of with a stiffness variable along the meridian in two directions, and also with variable bilateral with respect to the reference surface with the shell wall thickness ...
Aleksandr A. Dzyuba   +3 more
doaj   +1 more source

PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION [PDF]

open access: yesForum of Mathematics, Sigma, 2013
Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
E. Faou, L. Gauckler, C. Lubich
semanticscholar   +1 more source

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

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