Results 1 to 10 of about 101 (99)

Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization [PDF]

open access: yesIngeniería y Ciencia, 2013
A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided ...
Mauricio Osorio, Donald French
doaj   +2 more sources

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

open access: yesInfant 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   +5 more
wiley   +1 more source

A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel

open access: yesDemonstratio Mathematica, 2022
The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
doaj   +1 more source

A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation

open access: yesDemonstratio Mathematica, 2023
In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the ...
Pan Xintian, Zhang Luming
doaj   +1 more source

Finite element method for nonlocal problems of Kirchhoff-type in domains with moving boundary

open access: yesScientific African, 2022
This paper is devoted to the analysis of the finite element method for the mixed problem for the Kirchhoff nonlinear model given by the hyperbolic-parabolic equations in a bounded noncylindrical domain with moving boundaries.
M. Mbehou   +2 more
doaj   +1 more source

Entropy Stable Discontinuous Galerkin Finite Element Method with Multi-Dimensional Slope Limitation for Euler Equations

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We present an entropy stable Discontinuous Galerkin (DG) finite element method to approximate systems of 2-dimensional symmetrizable conservation laws on unstructured grids. The scheme is constructed using a combination of entropy conservative fluxes and
Madrane Aziz, Benkhaldoun Fayssal
doaj   +1 more source

New fractional derivative with non-singular kernel for deriving Legendre spectral collocation method

open access: yesAlexandria Engineering Journal, 2020
Fractional derivative models with an Abdon-Baleanu-Caputo (ABC) fractional derivative with a non-singular Mittag-Leffler kernel in the Liouville-Caputo (LC) sense are investigated using a spectral collocation method based on Legendre approximations. This
Khaled M. Saad
doaj   +1 more source

Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation

open access: yesAlexandria Engineering Journal, 2020
In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
doaj   +1 more source

On well‐posedness of the nonlocal boundary value problem for parabolic difference equations

open access: yesDiscrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 273-286, 2004., 2004
We consider the nonlocal boundary value problem for difference equations (uk − uk−1)/τ + Auk = φk, 1 ≤ k ≤ N, Nτ = 1, and u0 = u[λ/τ] + φ, 0 < λ ≤ 1, in an arbitrary Banach space E with the strongly positive operator A. The well‐posedness of this nonlocal boundary value problem for difference equations in various Banach spaces is studied.
A. Ashyralyev   +2 more
wiley   +1 more source

Finite‐difference method for parameterized singularly perturbed problem

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 3, Page 191-199, 2004., 2004
We study uniform finite‐difference method for solving first‐order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution. Numerical results support the theoretical analysis.
G. M. Amiraliyev   +2 more
wiley   +1 more source

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