Results 1 to 10 of about 3,263,731 (289)

Nonlinear Integro-Differential Equations

open access: yesJournal 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
doaj   +2 more sources

Efficient quantum algorithm for dissipative nonlinear differential equations. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Liu JP   +5 more
europepmc   +2 more sources

Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks

open access: yesIEEE Access, 2016
With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
doaj   +3 more sources

On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

open access: yesAxioms, 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
doaj   +1 more source

On convergence of explicit finite volume scheme for one-dimensional three-component two-phase flow model in porous media

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

open access: yesMathematics, 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
doaj   +1 more source

Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method

open access: yesComplexity, 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
doaj   +1 more source

Solutions of nonlinear differential equations [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA, 2009
We consider an ordinary nonlinear differential equation with generalized coefficients as an equation in differentials in algebra of new generalized functions. Then the solution of such equation will be a new generalized function. In the article we formulate necessary and sufficient conditions when the solution of the given equation in algebra of new ...
Bedziuk, Nadzeya, Yablonski, Aleh
openaire   +3 more sources

On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

open access: yesMathematics, 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
doaj   +1 more source

Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]

open access: yesProceedings Mathematical Sciences, 2001
In this work, certain quasilinear elliptic boundary value problems are investigated. Homogeneous Dirichlet boundary condition is always considered. In the first result, assuming that the multivalued monotone nonlinearity \(\beta\) satisfies \(\operatorname {dom}\beta = R\) and the existence of an upper and a lower solution, the existence of a solution ...
Fiacca A   +3 more
openaire   +3 more sources

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