Results 11 to 20 of about 3,989 (142)

Finite element method for nonlocal problems of Kirchhoff-type in domains with moving boundary

open access: yesScientific African, 2022
This paper is devoted to the analysis of the finite element method for the mixed problem for the Kirchhoff nonlinear model given by the hyperbolic-parabolic equations in a bounded noncylindrical domain with moving boundaries.
M. Mbehou   +2 more
doaj   +1 more source

Multi-Parameter Reaction–Diffusion Systems with Quadratic Nonlinearity and Delays: New Exact Solutions in Elementary Functions

open access: yesMathematics, 2022
The study considers a nonlinear multi-parameter reaction–diffusion system of two Lotka–Volterra-type equations with several delays. It treats both cases of different diffusion coefficients and identical diffusion coefficients.
Andrei D. Polyanin, Alexei I. Zhurov
doaj   +1 more source

Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method

open access: yesBiomath, 2021
The numerical method for simulation dynamics of nonlinear epidemic model of age-structured sub-populations of susceptible, infectious, precancerous and cancer cells and unstructured population of human papilloma virus (HPV) is developed (SIPCV model ...
Vitalii Akimenko, Fajar Adi-Kusumo
doaj   +1 more source

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

open access: yesAbstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
doaj   +1 more source

Abundant solitary wave solutions to a perturbed Schrödinger equation with Kerr law nonlinearity via a novel approach

open access: yesResults in Physics, 2022
The main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a well-known method.
Musaad S. Aldhabani   +5 more
doaj   +1 more source

Numerical solution of special ultra-relativistic Euler equations using central upwind scheme

open access: yesResults in Physics, 2018
This article is concerned with the numerical approximation of one and two-dimensional special ultra-relativistic Euler equations. The governing equations are coupled first-order nonlinear hyperbolic partial differential equations.
Tayabia Ghaffar   +2 more
doaj   +1 more source

On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability [PDF]

open access: yesКомпьютерные исследования и моделирование, 2016
Currently, different nonlinear numerical schemes of the spatial approximation are used in numerical simulation of boundary value problems for hyperbolic systems of partial differential equations (e. g.
Nikolay Mikhaylovitch Evstigneev
doaj   +1 more source

The unified impact of thermal radiation and heat source on unsteady flow of tangent hyperbolic nanofluid through a permeable shrinking sheet

open access: yesChemical Engineering Journal Advances, 2023
The tangent hyperbolic nanofluid behaviour is observed in multiple practical applications and extensively used in different laboratory experiments. It motivates to focus on the two-dimensional boundary layer flow of tangent hyperbolic nanofluid past a ...
Hiranmoy Maiti, Samir Kumar Nandy
doaj   +1 more source

On the many-body problem with short-range interaction

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2022
The classical problem of the interaction of charged particles is considered in the framework of the concept of short-range interaction. Difficulties in the mathematical description of short-range interaction are discussed, for which it is necessary to ...
Mark M. Gambaryan, Mikhail D. Malykh
doaj   +1 more source

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