Mathematical & Computational Applications最新文献_第7页

Hybrid Harmony Search Optimization Algorithm for Continuous Functions 连续函数的混合和谐搜索优化算法

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-22 DOI: 10.3390/mca28020029

J. A. Brambila-Hernández, Miguel Ángel García-Morales, H. Fraire-Huacuja, Eduardo Villegas-Huerta, Armando Becerra-del-Ángel

引用次数: 1

A Multiplicative Calculus Approach to Solve Applied Nonlinear Models 求解应用非线性模型的乘法演算方法

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-21 DOI: 10.3390/mca28020028

Gurjeet Singh, S. Bhalla, R. Behl

引用次数: 1

A Radial Hybrid Estimation of Distribution Algorithm for the Truck and Trailer Routing Problem 货车和挂车路径问题的径向混合估计分布算法

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-20 DOI: 10.3390/mca28010027

R. Pérez-Rodríguez, S. Frausto-Hernández

引用次数: 0

Single-Loop Multi-Objective Reliability-Based Design Optimization Using Chaos Control Theory and Shifting Vector with Differential Evolution 基于混沌控制理论和差分演化位移向量的单回路多目标可靠性设计优化

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-17 DOI: 10.3390/mca28010026

R.N. Biswas, Deepak Sharma

{"title":"Single-Loop Multi-Objective Reliability-Based Design Optimization Using Chaos Control Theory and Shifting Vector with Differential Evolution","authors":"R.N. Biswas, Deepak Sharma","doi":"10.3390/mca28010026","DOIUrl":"https://doi.org/10.3390/mca28010026","url":null,"abstract":"Multi-objective reliability-based design optimization (MORBDO) is an efficient tool for generating reliable Pareto-optimal (PO) solutions. However, generating such PO solutions requires many function evaluations for reliability analysis, thereby increasing the computational cost. In this paper, a single-loop multi-objective reliability-based design optimization formulation is proposed that approximates reliability analysis using Karush-Kuhn Tucker (KKT) optimality conditions. Further, chaos control theory is used for updating the point that is estimated through KKT conditions for avoiding any convergence issues. In order to generate the reliable point in the feasible region, the proposed formulation also incorporates the shifting vector approach. The proposed MORBDO formulation is solved using differential evolution (DE) that uses a heuristic convergence parameter based on hypervolume indicator for performing different mutation operators. DE incorporating the proposed formulation is tested on two mathematical and one engineering examples. The results demonstrate the generation of a better set of reliable PO solutions using the proposed method over the double-loop variant of multi-objective DE. Moreover, the proposed method requires 6×–377× less functional evaluations than the double-loop-based DE.","PeriodicalId":53224,"journal":{"name":"Mathematical & Computational Applications","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48140385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Arctan Power Distribution: Properties, Quantile and Modal Regressions with Applications to Biomedical Data Arctan功率分布:属性、分位数和模态回归在生物医学数据中的应用

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-14 DOI: 10.3390/mca28010025

Suleman Nasiru, A. Abubakari, C. Chesneau

{"title":"The Arctan Power Distribution: Properties, Quantile and Modal Regressions with Applications to Biomedical Data","authors":"Suleman Nasiru, A. Abubakari, C. Chesneau","doi":"10.3390/mca28010025","DOIUrl":"https://doi.org/10.3390/mca28010025","url":null,"abstract":"The usefulness of (probability) distributions in the field of biomedical science cannot be underestimated. Hence, several distributions have been used in this field to perform statistical analyses and make inferences. In this study, we develop the arctan power (AP) distribution and illustrate its application using biomedical data. The distribution is flexible in the sense that its probability density function exhibits characteristics such as left-skewedness, right-skewedness, and J and reversed-J shapes. The characteristic of the corresponding hazard rate function also suggests that the distribution is capable of modeling data with monotonic and non-monotonic failure rates. A bivariate extension of the AP distribution is also created to model the interdependence of two random variables or pairs of data. The application reveals that the AP distribution provides a better fit to the biomedical data than other existing distributions. The parameters of the distribution can also be fairly accurately estimated using a Bayesian approach, which is also elaborated. To end the study, the quantile and modal regression models based on the AP distribution provided better fits to the biomedical data than other existing regression models.","PeriodicalId":53224,"journal":{"name":"Mathematical & Computational Applications","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42165108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection 乙型肝炎细胞感染Caputo分级病毒动力学的稳定性分析

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-09 DOI: 10.3390/mca28010024

Michael O. Opoku, E. N. Wiah, E. Okyere, A. L. Sackitey, E. K. Essel, S. Moore

引用次数: 2

Higher-Order Multiplicative Derivative Iterative Scheme to Solve the Nonlinear Problems 求解非线性问题的高阶乘导数迭代格式

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-09 DOI: 10.3390/mca28010023

Gurjeet Singh, S. Bhalla, R. Behl

引用次数: 0

Hand–Eye Calibration Using a Tablet Computer 使用平板电脑进行手眼校准

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-08 DOI: 10.3390/mca28010022

J. Sato

{"title":"Hand–Eye Calibration Using a Tablet Computer","authors":"J. Sato","doi":"10.3390/mca28010022","DOIUrl":"https://doi.org/10.3390/mca28010022","url":null,"abstract":"Many approaches have been developed to solve the hand–eye calibration problem. The traditional approach involves a precise mathematical model, which has advantages and disadvantages. For example, mathematical representations can provide numerical and quantitative results to users and researchers. Thus, it is possible to explain and understand the calibration results. However, information about the end-effector, such as the position attached to the robot and its dimensions, is not considered in the calibration process. If there is no CAD model, additional calibration is required for accurate manipulation, especially for a handmade end-effector. A neural network-based method is used as the solution to this problem. By training a neural network model using data created via the attached end-effector, additional calibration can be avoided. Moreover, it is not necessary to develop a precise and complex mathematical model. However, it is difficult to provide quantitative information because a neural network is a black box. Hence, a method with both advantages is proposed in this study. A mathematical model was developed and optimized using the data created by the attached end-effector. To acquire accurate data and evaluate the calibration results, a tablet computer was utilized. The established method achieved a mean positioning error of 1.0 mm.","PeriodicalId":53224,"journal":{"name":"Mathematical & Computational Applications","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45778415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect 非线性拉伸薄板上的化学MHD-Hiemenz流动和具有辐射效应的纳米颗粒在多孔介质中的布朗运动效应

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-07 DOI: 10.3390/mca28010021

F. Salah, Abdelmgid O. M. Sidahmed, K. Viswanathan

{"title":"Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect","authors":"F. Salah, Abdelmgid O. M. Sidahmed, K. Viswanathan","doi":"10.3390/mca28010021","DOIUrl":"https://doi.org/10.3390/mca28010021","url":null,"abstract":"In this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussions of thermophoresis and mass transfer at the stagnation point flow are discussed. The plate progresses in the contrary direction or in the free stream orientation. The underlying PDEs are reshaped into a set of ordinary differential equations employing precise transformation. They are addressed numerically using the successive linearization method, which is an efficient systematic process. The main goal of this study is to compare the solutions obtained using the successive linearization method to solve the velocity and temperature equations in the presence of m changes, thereby demonstrating its accuracy and suitability for solving nonlinear differential equations. For comparison, tables containing the results are presented. This contrast is significant because it demonstrates the accuracy with which a set of nonlinear differential equations can be solved using the successive linearization method. The resulting solution is examined and discussed with respect to a number of engineering parameters. Graphs exemplify the simulation of distinct parameters that govern the motion factors.","PeriodicalId":53224,"journal":{"name":"Mathematical & Computational Applications","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45899590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Numerical Computation of Ag/Al2O3 Nanofluid over a Riga Plate with Heat Sink/Source and Non-Fourier Heat Flux Model Riga板上Ag/Al2O3纳米流体的散热器/热源和非傅立叶热流模型数值计算

IF 1.9

Mathematical & Computational Applications Pub Date : 2023-02-03 DOI: 10.3390/mca28010020

S. Divya, S. Eswaramoorthi, K. Loganathan

{"title":"Numerical Computation of Ag/Al2O3 Nanofluid over a Riga Plate with Heat Sink/Source and Non-Fourier Heat Flux Model","authors":"S. Divya, S. Eswaramoorthi, K. Loganathan","doi":"10.3390/mca28010020","DOIUrl":"https://doi.org/10.3390/mca28010020","url":null,"abstract":"The main goal of the current research is to investigate the numerical computation of Ag/Al2O3 nanofluid over a Riga plate with injection/suction. The energy equation is formulated using the Cattaneo–Christov heat flux, non-linear thermal radiation, and heat sink/source. The leading equations are non-dimensionalized by employing the suitable transformations, and the numerical results are achieved by using the MATLAB bvp4c technique. The fluctuations of fluid flow and heat transfer on porosity, Forchheimer number, radiation, suction/injection, velocity slip, and nanoparticle volume fraction are investigated. Furthermore, the local skin friction coefficient (SFC), and local Nusselt number (LNN) are also addressed. Compared to previously reported studies, our computational results exactly coincided with the outcomes of the previous reports. We noticed that the Forchheimer number, suction/injection, slip, and nanoparticle volume fraction factors slow the velocity profile. We also noted that with improving rates of thermal radiation and convective heating, the heat transfer gradient decreases. The 40% presence of the Hartmann number leads to improved drag force by 14% and heat transfer gradient by 0.5%. The 20% presence of nanoparticle volume fraction leads to a decrement in heat transfer gradient for 21% of Ag nanoparticles and 18% of Al2O3 nanoparticles.","PeriodicalId":53224,"journal":{"name":"Mathematical & Computational Applications","volume":" ","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46212273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2