Results 1 to 10 of about 58,698 (118)

IMPROVING A POSTERIORI SPATIAL DISCRETIZATION ERROR ESTIMATION FOR SN TRANSPORT BY SINGULAR CHARACTERISTICS TRACKING [PDF]

open access: yesEPJ Web of Conferences, 2021
Previously, we have developed a novel spatial discretization error estimator, the “residual source” estimator, in which an error transport problem, analogous to the discretized transport equation, is solved to acquire an estimate of the error, with a ...
Hart Nathan H., Azmy Yousry Y.
doaj   +1 more source

Well-posedness criteria for one family of boundary value problems

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
This paper considers a family of linear two-point boundary value problems for systems of ordinary differential equations. The questions of existence of its solutions are investigated and methods of finding approximate solutions are proposed.
P.B. Abdimanapova, S.M. Temesheva
doaj   +1 more source

Periodic Waves and Ligaments on the Surface of a Viscous Exponentially Stratified Fluid in a Uniform Gravity Field

open access: yesAxioms, 2022
The theory of singular perturbations in a unified formulation is used, for the first time, to study the propagation of two-dimensional periodic perturbations, including capillary and gravitational surface waves and accompanying ligaments in the 10 ...
Yuli D. Chashechkin, Artem A. Ochirov
doaj   +1 more source

Touchdown solutions in general MEMS models

open access: yesAdvances in Nonlinear Analysis, 2023
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1 ...
Clemente Rodrigo   +3 more
doaj   +1 more source

Exact Fractional Solution by Nucci’s Reduction Approach and New Analytical Propagating Optical Soliton Structures in Fiber-Optics

open access: yesFractal and Fractional, 2022
This study examines the Chen–Lee–Liu dynamical equation, which represents the propagation of optical pulses in optical fibers and plasma. A new extended direct algebraic technique and Nucci’s scheme are used to find new solitary wave profiles. The method
Waqas Ali Faridi   +2 more
doaj   +1 more source

Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
doaj   +1 more source

Moving Singular Points and the Van der Pol Equation, as Well as the Uniqueness of Its Solution

open access: yesMathematics, 2023
The article considers the Van der Pol equation nonlinearity aspect related to a moving singular point. The fact of the existence of moving singular points and the uniqueness of their solution for complex domains have been proved.
Victor Orlov
doaj   +1 more source

A numerical study of dengue internal transmission model with fractional piecewise derivative

open access: yesResults in Physics, 2022
The goal of this paper is to study the dynamics of the dengue internal transmission model using a novel piecewise derivative approach in the sense of singular and non-singular kernels.
Shabir Ahmad   +5 more
doaj   +1 more source

Exact fractional soliton solutions of thin-film ferroelectric material equation by analytical approaches

open access: yesAlexandria Engineering Journal, 2023
In this paper, the main motive is to mathematical explore the thin-film ferroelectric material partial differential equation which addresses the Ferroelectrics, that are being examined as key materials for applications in piezoelectric, pyroelectric ...
Waqas Ali Faridi   +4 more
doaj   +1 more source

Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system

open access: yesAlexandria Engineering Journal, 2023
In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
doaj   +1 more source

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