Results 31 to 40 of about 363 (62)

Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems

open access: yes, 2015
Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems.
Gaudreau, Philippe, Safouhi, Hassan
core   +1 more source

Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]

open access: yes, 2002
We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J.   +2 more
core   +2 more sources

Construction of a global solution for the one dimensional singularly-perturbed boundary value problem

open access: yes, 2017
We consider an approximate solution for the one-dimensional semilinear singularly-perturbed boundary value problem, using the previously obtained numerical values of the boundary value problem in the mesh points and the representation of the exact ...
Barakovic, Elvis   +3 more
core   +1 more source

Calculation of the Stability Index in Parameter-Dependent Calculus of Variations Problems: Buckling of a Twisted Elastic Strut [PDF]

open access: yes, 2002
We consider the problem of minimizing the energy of an inextensible elastic strut with length 1 subject to an imposed twist angle and force. In a standard calculus of variations approach, one first locates equilibria by solving the Euler--Lagrange ODE ...
Hoffman, Kathleen A.   +2 more
core   +2 more sources

The chebop system for automatic solution of differential equations [PDF]

open access: yes, 2008
In MATLAB, it would be good to be able to solve a linear differential equation by typing u = L\f, where f, u, and L are representations of the right-hand side, the solution, and the differential operator with boundary conditions.
Bornemann, Folkmar   +2 more
core   +3 more sources

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur   +6 more
wiley   +1 more source

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

open access: yesDemonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

Two-step multiblock hybrid method for the simulation of three-dimensional chaotic systems

open access: yesScientific African
Chaotic systems, characterized by their butterfly-shaped phase portraits, nonlinearity, extreme sensitivity to initial conditions, and irregular, non-periodic behavior, pose significant challenges in numerical simulations due to the absence of closed ...
Joshua Sunday   +3 more
doaj   +1 more source

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.
Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer   +3 more
wiley   +1 more source

Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]

open access: yes, 2015
The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core   +2 more sources

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