A fifth-order family of an iterative method for solving systems of nonlinear equations and highly nonlinear boundary value problems has been developed in this *** analysis demonstrates that the local order of converge...
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A fifth-order family of an iterative method for solving systems of nonlinear equations and highly nonlinear boundary value problems has been developed in this *** analysis demonstrates that the local order of convergence of the numerical method is *** computer algebra system CAS-Maple,Mathematica,or MATLAB was the primary tool for dealing with difficult problems since it allows for the handling and manipulation of complex mathematical equations and other mathematical *** numerical examples are provided to demonstrate the properties of the proposed rapidly convergent algorithms.A dynamic evaluation of the presented methods is also presented utilizing basins of attraction to analyze their convergence *** from visualizing iterative processes,this methodology provides useful information on iterations,such as the number of diverging-converging points and the average number of iterations as a function of initial *** numerous highly nonlinear boundary value problems and large nonlinear systems of equations of higher dimensions demonstrate the performance,efficiency,precision,and applicability of a newly presented technique.
The numerical solution of compressible flows has become more prevalent than that of incompressible *** the help of the artificial compressibility approach,incompressible flows can be solved numerically using the same ...
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The numerical solution of compressible flows has become more prevalent than that of incompressible *** the help of the artificial compressibility approach,incompressible flows can be solved numerically using the same methods as compressible *** artificial compressibility scheme is thus widely used to numerically solve incompressible Navier-Stokes *** numerical method highly depends on its accuracy and speed of *** the artificial compressibility approach is utilized in several numerical simulations,the effect of the compressibility factor on the accuracy of results and convergence speed has not been investigated for nanofluid flows in previous ***,this paper assesses the effect of this factor on the convergence speed and accuracy of results for various types of *** improve the stability and convergence speed of time discretizations,the fifth-order Runge-Kutta method is applied.A computer program has been written in FORTRAN to solve the discretized equations in different Reynolds and Grashof numbers for various *** results demonstrate that the artificial compressibility factor has a noticeable effect on the accuracy and convergence rate of the *** optimum artificial compressibility is found to be between 1 and *** findings can be utilized to enhance the performance of commercial numerical simulation tools,including ANSYS and COMSOL.
Heat exchangers are utilized extensively in different industries and ***,optimizing heat exchangers has been a major concern among *** various studies have been conducted to improve the heat transfer rate,the use of a...
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Heat exchangers are utilized extensively in different industries and ***,optimizing heat exchangers has been a major concern among *** various studies have been conducted to improve the heat transfer rate,the use of a wavy wall in the presence of different types of heat transfer mechanisms has not been *** study thus investigates the mixed heat transmission behavior of fluid in a horizontal channel with a cavity and a hot,wavy *** fluid flow in the channel is considered laminar,and the governing equations including continuity,momentum,and energy are all solved *** numerical solution is stabilized by using a first-order multi-dimensional characteristic-based scheme in combination with a fifth-order Runge-Kutta *** flow and heat transfer effects of varying Richardson numbers,Reynolds numbers,wave amplitude,wavelength,channel height,and cavity width are *** results indicate that the mean Nusselt number increases with an increase in Reynolds number,wave amplitude,and cavity width,while it decreases with an increase in Richardson number,wavelength,and channel *** minimum Nusselt number is calculated to be 0.7,whereas the maximum Nusselt number is *** Nusselt number has only increased by 40%in the higher depths of the cavity,despite the Richardson number being 10,000 times *** this figure increases to 130%at lower *** mean Nusselt number is thus significantly influenced by channel height and cavity *** influence of wave amplitude on the mean Nusselt number is twice that of wavelength.
This article focuses on Historically Black Colleges and Universities (HBCUs), Hispanic-Serving Institutions (HSIs), Tribal Colleges and Universities (TCUs), and Asian American and Native American Pacific Islander-Serv...
This article focuses on Historically Black Colleges and Universities (HBCUs), Hispanic-Serving Institutions (HSIs), Tribal Colleges and Universities (TCUs), and Asian American and Native American Pacific Islander-Serving Institutions (AANAPISIs). These institution types are united by their commitments to racially and ethnically minoritized communities, expanding educational access, facilitating culturally affirming education, and developing collective and socially responsible leaders. As a counternarrative, the authors situate leadership identity development (LID) at Minority-Serving Institutions (MSIs) to decenter whiteness in leadership scholarship and enactment and to elevate MSIs and their impact on students' leader and leadership identity development (LID).
The fixed-plane perforation technology, which is derived from oil and gas production, offers remarkable advantages in inducing fracturing and increasing fracture volume, but its theoretical foundation incompatible wit...
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IoT technologies can facilitate machine-to-machine as well as human-to-machine interactions. Use of an automotive human-machine interface can help in exchanging information between vehicles and passengers or drivers. ...
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The authors regret to report that the images for panels h (Plain PDMS) and I (MCF7-imprinted PDMS) in Fig. 3 were mistakenly taken from the same dataset, resulting in the omission of the correct image in panel h for t...
The Internet of Things (IoT) is regarded as an improved communication system that has revolutionized traditional lifestyles. To function successfully, IoT requires a combination of cloud, fog, and edge computing archi...
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Human kidney organoids derived from embryonic stem cells (ESCs) or induced pluripotent stem cells (iPSCs) have become novel tools for studying various kidney pathologies. Here, we transplanted ESC-derived kidney organ...
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