Results 31 to 40 of about 363 (62)
Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems
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]
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
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]
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]
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
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
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
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
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]
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

