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A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer [PDF]
Journal of Advanced Research, 2021 Introduction: During the last years the modeling of dynamical phenomena has been advanced by including concepts borrowed from fractional order differential equations.
O. Nikan +2 more
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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 +5 more
wiley +1 more source
Demonstratio Mathematica, 2021 In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda +2 more
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An accurate and efficient local one-dimensional method for the 3D acoustic wave equation
Demonstratio Mathematica, 2022 We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
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Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
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Convergence of a finite volume scheme for a parabolic system applied to image processing
Moroccan Journal of Pure and Applied Analysis, 2022 We analyze a finite volume scheme for a nonlinear reaction-diffusion system applied to image processing. First, we demonstrate the existence of a solution to the finite volume scheme.
Attmani Jamal +2 more
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Moroccan Journal of Pure and Applied Analysis, 2020 The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
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Resonance-based schemes for dispersive equations via decorated trees
Forum of Mathematics, Pi, 2022 We introduce a numerical framework for dispersive equations embedding their underlying resonance structure into the discretisation. This will allow us to resolve the nonlinear oscillations of the partial differential equation (PDE) and to approximate ...
Yvain Bruned, Katharina Schratz
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Open Mathematics, 2020 In this paper, a discrete orthogonal spline collocation method combining with a second-order Crank-Nicolson weighted and shifted Grünwald integral (WSGI) operator is proposed for solving time-fractional wave equations based on its equivalent partial ...
Xu Xiaoyong, Zhou Fengying
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 63, Page 3979-3993, 2003., 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial‐boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm ...
A. A. Halim +2 more
wiley +1 more source