Results 1 to 10 of about 52 (43)
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 +5 more sources
Error Estimation of the Homotopy Perturbation Method to Solve Second Kind Volterra Integral Equations with Piecewise Smooth Kernels: Application of the CADNA Library [PDF]
Symmetry, 2020 This paper studies the second kind linear Volterra integral equations (IEs) with a discontinuous kernel obtained from the load leveling and energy system problems. For solving this problem, we propose the homotopy perturbation method (HPM). We then discuss the convergence theorem and the error analysis of the formulation to validate the accuracy of the
Nikolai Sidorov +2 more
exaly +2 more sources
A Novel Method for Solving Second Kind Volterra Integral Equations with Discontinuous Kernel
Mathematics, 2021 Load leveling problems and energy storage systems can be modeled in the form of Volterra integral equations (VIE) with a discontinuous kernel. The Lagrange–collocation method is applied for solving the problem. Proving a theorem, we discuss the precision
Samad Noeiaghdam, Sanda Micula
doaj +3 more sources
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 +3 more sources
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 +1 more source
Days of Future Past: Why Race Matters in Metadata
Genealogy, 2022 While marginalized as a juvenile medium, comics serve as an archive of our collective experience. Emerging with the modern city and deeply affected by race, class, and gender norms, comics are a means to understand the changes linked to identity and ...
Julian Carlos Chambliss +3 more
doaj +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2022 The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda +2 more
doaj +1 more source
An Integrated Genetic Algorithm and Homotopy Analysis Method to Solve Nonlinear Equation Systems
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Solving nonlinear equation systems for engineering applications is one of the broadest and most essential numerical studies. Several methods and combinations were developed to solve such problems by either finding their roots mathematically or formalizing such problems as an optimization task to obtain the optimal solution using a predetermined ...
Hala A. Omar, Muhammad Arif
wiley +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
A Valid Dynamical Control on the Reverse Osmosis System Using the CESTAC Method
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 +1 more source