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Computational Algorithms and Numerical Dimensions
ISSN 2980-7646 · REA Press · 102 articles in the index
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A family of runge-kutta-like iterative procedure for solution of nonlinear algebraic models
Nonlinear models that are algebraic in nature are often encountered in diverse areas of science and engineering, often requiring efficient numerical methods for their precise solutions. Newton and Householder methods, being among the classical methods, may experience slow convergence or require…
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Numerical simulations for the higher dimensional distributed order anomalous sub-diffusion equation with non-singular kernel
This paper investigates a two-dimensional nonlinear distributed order Reaction Sub-diffusion problem with a higher-order non-standard implicit compact finite difference formulation. The definition of distributed fractional order adheres to the Atangana-Baleanu mathematical framework. The primary…
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A high-precision hypersingular quadrature formula of order seven for analytic functions
In our study, we undertake the evaluation of a hyper-singular integral of the form using quadrature rules with a precision degree of 5. It's recognized that ordinary quadrature rules may not be suitable for hyper-singular integrals, as they typically depend on smooth integrands. The presence of…
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Adaptive two-phase thermal pedestrian detection using dual-tree complex wavelets and ga-optimized neural networks
Pedestrian detection in thermal imagery remains a difficult task due to inherently low image resolution, weather-dependent noise, and background regions that often share similar thermal signatures with human targets. Many existing handcrafted or feature-based approaches lack the adaptability needed…
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Nonlinear fractional-order modeling and optimal control of crime and its related costs
The purpose of this research is to present a non-linear model of mathematical fractional order for system of crime with its related costs. Both Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithm were used to simulate optimal control. Modeling approach of the type of differential…
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A 3D approach design for aircraft landing on runways using convolutional neural networks
Passenger safety is a top priority in the aviation industry, particularly during the landing phase, which accounts for 53% of aviation accidents between 2005 and 2023. This study introduces a novel approach to aircraft landing by predicting 3D position components (horizontal, vertical, and…
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Restricted and extended plus operations for soft sets
Soft set theory has gained importance as an innovative approach for addressing uncertainty-related problems and modeling uncertainty since it was introduced by Molodtsov in 1999. It has several applications in both theoretical and practical contexts. Soft set operations, the basic concept of the…
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Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets
This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential…
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Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method
This work presents a numerical simulation of lid-driven cavity flows by solving the incompressible Navier-Stokes equations, with results validated against established benchmarks. The developed code uses a fractional step method combined with second-order Adams-Bashforth time discretization and…
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Advancing natural language processing for Persian movie review analysis: roadmap and opportunities
As Persian-language movie platforms gain popularity, analyzing user-generated content becomes increasingly important. Advanced Natural Language Processing (NLP) tools, such as TextBlob, NLTK, VADER, Num2faword, PersianTools, Parsivar, Hazm, and BERT, provide robust methods for sentiment analysis…
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Super class of implicit extended backward differentiation formulae for the numerical integration of stiff initial value problems
An implicit Superclass of non-block Extended Backward Differentiation Formulae (SEBDF) for the numerical integration of first-order stiff system of Ordinary Differential Equations (ODEs) in Initial Value Problems (IVPs) with optimal stability properties is presented. The stability and convergence…
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An iterative method based on the average quadrature formula
In our research, a new third-order iterative method has been introduced. This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules. The newly developed quadrature formula is then used to establish the new iterative scheme, which modifies the…
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Development of upper limb gestures recognition model for hearing and speech impaired patients using convoluted neural network
Upper limb gesture recognition plays a major role in overcoming many difficulties and inconveniences in human life, especially for individuals with speech disabilities and hearing impairment. The ability of machines to understand human activities and process their meaning can be utilized in a vast…
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Numerical solution of systems of first order stiff oscillatory differential equations using diagonally implicit super class of block backward differentiation formula
This paper introduces the development and application of a diagonally implicit 3-point method based on a superclass of the Block Backward Differentiation Formula (3DSBBDF) for solving systems of first-order stiff Oscillatory Differential Equations (ODEs) in Initial Value Problems (IVPs). By varying…
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On increasing of density of field-effect heterotransistors in the framework of a level shifter influence of mismatch-induced stress and porosity of materials on technological process
In this paper we introduce an approach to increase density of field-effect heterotransistors in the framework of a level shifter. In the framework of a the approach we consider manufacturing the inverter in heterostructure with specific configuration. Several required areas of the heterostructure…
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Prediction and analysis of mobile subscribers network traffic using time series algorithms in machine learning
Given the rapid development of information and communication technology, the popularity of mobile internet communications has reached an unprecedented level. Accurate forecasting, understanding, and analyzing network traffic are vital for network planning, performance optimization, fault detection…
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The hidden mathematics to treat cancer, innovative mathematics to unlock life mysteries
Mathematics is essential in cancer research and treatment because it helps scientists analyze complex data, such as genetic mutations in tumors, to understand cancer progression and estimate how long it has been developing. Mathematical models are used to improve treatment strategies, like…
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Exploring Gröbner bases for practical problem-solving applications
Gröbner bases serve as a crucial theoretical cornerstone in contemporary (polynomial) ring theory. The development of Gröbner basis theory originated from efforts to address theoretical issues related to ideals in polynomial rings and to solve systems of polynomial equations. This article explores…
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On prognosis of temperature distribution in a ventilated facades
In this paper we present a model for analysis of spatio-temporal distribution of temperature between the wall of a building and the facing of a facade with account possible convection air movement. In the framework of the considered model one can take into account native convection of air and…
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A comprehensive survey on various mathematical modeling techniques used for tumor dynamics
The paper discusses the significance of mathematical modeling in understanding tumor growth and treatment resistance. It highlights the challenges in estimating tumor size and resistance, emphasizing the role of mathematical models in quantifying tumor dynamics. Various modeling strategies are…