Solving singularly perturbed fredholm integro-differential equation using exact finite difference method [PDF]
BMC Research Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Solomon Regasa Badeye +2 more
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A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition [PDF]
BMC Research NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Aklilu Fufa Oljira +1 more
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An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
Alexandria Engineering Journal, 2022 In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi +5 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
Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
Alexandria 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
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On a conjecture of De Giorgi related to homogenization [PDF]
, 2017 For a periodic vector field $\bf F$, let ${\bf X}^\epsilon$ solve the dynamical system \begin{equation*} \frac{d{\bf X}^\epsilon}{dt} = {\bf F}\left(\frac {{\bf X}^\epsilon}\epsilon\right) . \end{equation*} In \cite{DeGiorgi} Ennio De Giorgi enquiers
Karakhanyan, Aram, Shahgholian, Henrik
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Three-points interfacial quadrature for geometrical source terms on nonuniform grids [PDF]
, 2011 International audienceThis paper deals with numerical (finite volume) approximations, on nonuniform meshes, for ordinary differential equations with parameter-dependent fields.
A. Harten +31 more
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Uniform approximation and explicit estimates for the prolate spheroidal wave functions [PDF]
, 2014 For fixed $c,$ Prolate Spheroidal Wave Functions (PSWFs), denoted by $\psi_{n, c},$ form an orthogonal basis with remarkable properties for the space of band-limited functions with bandwith $c$.
Bonami, Aline, Karoui, Abderrazek
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Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg +8 more
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