Results 11 to 20 of about 31 (31)

Development and nationwide implementation of a postdischarge responsive parenting intervention program for very preterm born children: The TOP program

Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 3, Page 423-437, May/June 2021., 2021
ABSTRACT A previous randomized controlled trial has suggested the effectiveness of a Dutch postdischarge responsive parenting program for very preterm (VPT) infants, indicating that nationwide implementation was justified. This paper describes the development and nationwide implementation of the intervention, known as the TOP program, which consisted ...
Martine Jeukens‐Visser, Karen Koldewijn, Aleid G. van Wassenaer‐Leemhuis, Monique Flierman, Frans Nollet, Marie‐Jeanne Wolf   +5 more
wiley   +1 more source

Numerical study of the two-term time-fractional differential equation using the Lagrange polynomial pseudo-spectral method

Alexandria Engineering Journal, 2020
This paper is about the implementation of the pseudo-spectral method based on the Lagrange polynomials to the numerical study of the multi-term time-fractional differential equations.
Ali Shokri, Soheila Mirzaei
doaj   +1 more source

Multiplicity and structures for traveling wave solutions of the Kuramoto‐Sivashinsky equation

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3839-3848, 2004., 2004
The Kuramoto‐Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock ...
Bao-Feng Feng
wiley   +1 more source

On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients

Advances in Nonlinear Analysis, 2019
In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

Numerical study of self-adjoint singularly perturbed two-point boundary value problems using collocation method with error estimation

Journal of Ocean Engineering and Science, 2018
A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali, A.R. Hadhoud, M.A. Shaalan   +2 more
doaj   +1 more source

A robust spectral integral method for solving chaotic finance systems

Alexandria Engineering Journal, 2020
Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions.
Claude Rodrigue Bambe Moutsinga, Edson Pindza, Eben Maré   +2 more
doaj   +1 more source

Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 305-313, 2000., 2000
It is well known that a polynomial‐based approximation scheme applied to a singularly perturbed equation is not uniformly convergent over the geometric domain of study. Such scheme results in a numerical solution, say σ which suffers from severe inaccuracies particularly in the boundary layer.
Dialla Konate
wiley   +1 more source

PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION

Forum of Mathematics, Sigma, 2014
Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
ERWAN FAOU, LUDWIG GAUCKLER, CHRISTIAN LUBICH   +2 more
doaj   +1 more source

A Computational Scheme Based on Fractional Basis Functions For Solving Fractional Bagley–Torvik Equation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study aims to present a spectral collocation approach for treating fractional Bagley–Torvik equations using fractional basis functions. The Bagley–Torvik equation is critically important in a wide range of applied scientific and engineering disciplines. The fractional form of the Bagley–Torvik equations enables the modeling of complex systems with
Taghipour M., Aminikhah H., Chang Phang
wiley   +1 more source

Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering

Nonlinear Engineering
This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan, Atta Ahmed Gamal, Abu Waar Ziad Yousef, Moustafa Mohamed Orabi   +3 more
doaj   +1 more source