Results 1 to 10 of about 101 (99)
Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization [PDF]
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
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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
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
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A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation
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
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Finite element method for nonlocal problems of Kirchhoff-type in domains with moving boundary
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
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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
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New fractional derivative with non-singular kernel for deriving Legendre spectral collocation method
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
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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
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
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On well‐posedness of the nonlocal boundary value problem for parabolic difference equations
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
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

