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Irrational dynamics, superpitchfork bifurcation, and equilibrium hierarchy in a mass–spring system exhibiting chaos and bursting [PDF]

open access: yesScientific Reports
This study explores the impact of force nature (rational, algebraic, irrational) on solution dynamics in mass–spring systems, with a focus on a given square root nonlinearity.
Lejuste Theodore Abobda
doaj   +2 more sources

Solving inverse non-linear fractional differential equations by generalized Chelyshkov wavelets

open access: yesAlexandria Engineering Journal, 2023
The purpose of this research is to employ a method involving Chelyshkov wavelets to construct a numerical solution to the inverse problem of determining the right-hand side function of a non-linear fractional differential equation by utilizing over ...
Sertaç Erman, Ali Demir, Ebru Ozbilge
doaj   +1 more source

Nontrivial solutions of linear functional equations: methods and examples [PDF]

open access: yesOpuscula Mathematica, 2015
For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters.
Adrienn Varga, Csaba Vincze
doaj   +1 more source

Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems

open access: yesFuzzy Information and Engineering, 2022
We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari   +2 more
doaj   +1 more source

Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]

open access: yesOpuscula Mathematica, 2018
A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato   +2 more
doaj   +1 more source

The stability analysis and numerical simulation based on Sinc Legendre collocation method for solving a fractional epidemiological model of the Ebola virus

open access: yesPartial Differential Equations in Applied Mathematics, 2021
In this paper, we use an efficient numerical method based on Sinc Legendre collocation method for numerically solving fractional model in the caputo sense of the Ebola virus. Fractional derivative is used in the Caputo sense.
M.H. Derakhshan
doaj   +1 more source

Analysis of Finite Solution Spaces of Second-Order ODE with Dirac Delta Periodic Forcing

open access: yesAxioms, 2023
Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences.
Susmit Bagchi
doaj   +1 more source

Approximating Solutions of Non-Linear Troesch’s Problem via an Efficient Quasi-Linearization Bessel Approach

open access: yesMathematics, 2021
Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving the non-linear Troesch’s problem.
Mohammad Izadi   +2 more
doaj   +1 more source

The effect of added point masses on the geometrically non-linear vibrations of SCSC rectangular plates

open access: yesDiagnostyka, 2022
A point mass added to a plate may have a significant effect on its linear and nonlinear dynamics, including frequencies, mode shapes and the forced response to external loading.
Mustapha Hamdani   +2 more
doaj   +1 more source

A matched space for time scales and applications to the study on functions

open access: yesAdvances in Difference Equations, 2017
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang   +2 more
doaj   +1 more source

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