Nonlinear differential equations

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Nonlinear Integro-Differential Equations

Journal of Mathematical Extension, 2010
. In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation.
S. Mahdavi∗, M. Tavassoli Kajani
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On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

Axioms, 2023
Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method.
Nikolay K. Vitanov
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On convergence of explicit finite volume scheme for one-dimensional three-component two-phase flow model in porous media

Demonstratio Mathematica, 2021
In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine, Choucha Abdelbaki, Cherif Bahri +2 more
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Mathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method

Complexity, 2021
By means of the averaging method of the first order, we introduce the maximum number of limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system.
Amor Menaceur +4 more
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On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

Mathematics, 2022
In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
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On Removable Singularities of Solutions of Higher-Order Differential Inequalities

Advanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
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A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
The purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

Partial Differential Equations in Applied Mathematics, 2023
Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2017
This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
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mathematics