A Novel Technique to Control the Accuracy of a Nonlinear Fractional Order Model of COVID-19: Application of the CESTAC Method and the CADNA Library [PDF]
Mathematics, 2021 In this paper, a nonlinear fractional order model of COVID-19 is approximated. For this aim, at first we apply the Caputo–Fabrizio fractional derivative to model the usual form of the phenomenon.
Samad Noeiaghdam +2 more
doaj +7 more sources
The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method [PDF]
Mathematics, 2021 The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method.
Samad Noeiaghdam +4 more
doaj +4 more sources
A Valid Dynamical Control on the Reverse Osmosis System Using the CESTAC Method [PDF]
Mathematics, 2020 The aim of this study is to present a novel method to find the optimal solution of the reverse osmosis (RO) system. We apply the Sinc integration rule with single exponential (SE) and double exponential (DE) decays to find the approximate solution of the
Samad Noeiaghdam +4 more
doaj +4 more sources
Finding optimal step of fuzzy Newton-Cotes integration rules by using the CESTAC method [PDF]
Journal of Fuzzy Set Valued Analysis, 2017 The aim of this work, is to evaluate the value of a fuzzy integral by applying the Newton-Cotes integration rules via a reliable scheme. In order to perform the numerical examples, the CADNA (Control of Accuracy and Debugging for Numerical Applications) library and the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method are ...
Samad Noeiaghdam +1 more
openalex +2 more sources
The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [PDF]
, 2020 Summary: One of the schemes to find the optimal shape parameter and optimal number of points in the radial basis function (RBF) methods is to apply the stochastic arithmetic (SA) in place of the common floating-point arithmetic (FPA). The main purpose of this work is to introduce a reliable approach based on this new arithmetic to compute the local ...
Hasan Barzegar Kelishami +2 more
openalex +2 more sources
Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method [PDF]
, 2018 Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA) is used to control of accuracy on Taylor-collocation method for solving first kind weakly regular integral equations (IEs).
Samad Noeiaghdam +2 more
openalex +4 more sources
First parallel implementation of the CESTAC Method with self validation
, 2004 Jean-Luc Lamotte +1 more
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Mathematics, 2021 This study focuses on solving the nonlinear bio-mathematical model of malaria infection. For this aim, the HATM is applied since it performs better than other methods. The convergence theorem is proven to show the capabilities of this method.
Samad Noeiaghdam, Sanda Micula
doaj +1 more source
Mathematics, 2021 The researchers aimed to study the nonlinear fractional order model of malaria infection based on the Caputo-Fabrizio fractional derivative. The homotopy analysis transform method (HATM) is applied based on the floating-point arithmetic (FPA) and the ...
Samad Noeiaghdam +3 more
doaj +1 more source
Journal of the American Geriatrics Society, Volume 71, Issue 12, Page 3721-3730, December 2023., 2023 Abstract Background Blood pressure (BP) postural changes, both orthostatic hypotension (OHYPO) and orthostatic hypertension (OHYPER) are common in older adults. Few studies have investigated their association with cognition, particularly for OHYPER, an emerging cardiovascular risk factor.
M. Strumia +17 more
wiley +1 more source