发布求助
文献互助 智能选刊 最新文献

VFAST Transactions on Mathematics最新文献

筛选
英文 中文
A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique 利用拉格朗日插值技术解决非线性方程的三步七阶迭代法
VFAST Transactions on Mathematics Pub Date : 2024-03-13 DOI: 10.21015/vtm.v12i1.1712
S. Jamali, Fareed Ahmed Lakho, Z. Kalhoro, Abdul Wasim Shaikh, Jinrui Guan
{"title":"A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique","authors":"S. Jamali, Fareed Ahmed Lakho, Z. Kalhoro, Abdul Wasim Shaikh, Jinrui Guan","doi":"10.21015/vtm.v12i1.1712","DOIUrl":"https://doi.org/10.21015/vtm.v12i1.1712","url":null,"abstract":"This research paper comprehensively presents the derivation of a seventh-order iteration scheme designed to obtain simple roots of nonlinear equations through the utilization of Lagrange interpolation technique. The scheme is characterized by the requirement for three function evaluations and one evaluation of the first derivative in each iteration. A detailed convergence analysis is also carried out to assess the efficacy of the proposed method. Additionally, the paper includes comprehensive numerical experiments aimed at confirming the theoretical results and illustrating the competitive performance of the derived iteration scheme.","PeriodicalId":517760,"journal":{"name":"VFAST Transactions on Mathematics","volume":"70 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140394103","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
A Refinement of Ratio Estimation in Ranked Set Sampling and Stratified Ranked Set Sampling Approaches 排序集合抽样法和分层排序集合抽样法中比率估计的改进
VFAST Transactions on Mathematics Pub Date : 2024-03-06 DOI: 10.21015/vtm.v12i1.1619
Lakhkar Khan, Javid shabbir, Qazi Ubaid, Taj Farin Khan
{"title":"A Refinement of Ratio Estimation in Ranked Set Sampling and Stratified Ranked Set Sampling Approaches","authors":"Lakhkar Khan, Javid shabbir, Qazi Ubaid, Taj Farin Khan","doi":"10.21015/vtm.v12i1.1619","DOIUrl":"https://doi.org/10.21015/vtm.v12i1.1619","url":null,"abstract":"Estimation of population mean is a persistent subject issue in sampling surveys and many discrete efforts have been paid by various researchers to enhance the precision of the estimates by utilizing the correlated auxiliary information. In connection with this an improved version of ratio estimator are presented in this paper under the ranked set sampling scheme and stratified ranked set sampling scheme. Comparison amongst estimators is made in terms of Mean Square Errors ( ) and Percentage Relative Efficiencies ( ). The expression for  of the proposed estimator is pinned-down to first order of approximations. It turns out from both simulation studies as well as real data set that the proposed estimator dominates its existing counterpart estimators.","PeriodicalId":517760,"journal":{"name":"VFAST Transactions on Mathematics","volume":"5 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140397463","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 and bifurcation analysis of a discrete Leslie predator-prey model with fear effect 带有恐惧效应的离散莱斯利捕食者-猎物模型的稳定性和分岔分析
VFAST Transactions on Mathematics Pub Date : 2024-03-03 DOI: 10.21015/vtm.v12i1.1686
Naqi Abbas, R. Ahmed
{"title":"Stability and bifurcation analysis of a discrete Leslie predator-prey model with fear effect","authors":"Naqi Abbas, R. Ahmed","doi":"10.21015/vtm.v12i1.1686","DOIUrl":"https://doi.org/10.21015/vtm.v12i1.1686","url":null,"abstract":"This study examines a predator-prey model that includes the impact of fear and a square-root functional responseto represent herd behavior in the prey population. Our investigation aims to investigate the existence and stabilityof fixed points in this model. Through conducting an extensive analysis, we have uncovered valuable observations onthe model's behavior, namely recognizing the occurrence of period-doubling and Neimark-Sacker bifurcations.These findings provide an understanding of the intricate dynamics that govern predator-prey interactions in the presence of fear and herd behavior. We provide numerical examples to support our conclusions.","PeriodicalId":517760,"journal":{"name":"VFAST Transactions on Mathematics","volume":"76 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140286141","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
Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction 使用新的 16 阶方案求解工程中的非线性模型及其吸引力盆地
VFAST Transactions on Mathematics Pub Date : 2024-03-01 DOI: 10.21015/vtm.v12i1.1624
S. Jamali, Z. Kalhoro, Abdul Wasim Shaikh, M. S. Chandio, Jinrui Guan
{"title":"Solution of nonlinear models in engineering using a new sixteenth order scheme and their basin of attraction","authors":"S. Jamali, Z. Kalhoro, Abdul Wasim Shaikh, M. S. Chandio, Jinrui Guan","doi":"10.21015/vtm.v12i1.1624","DOIUrl":"https://doi.org/10.21015/vtm.v12i1.1624","url":null,"abstract":"The utilization of computers in various engineering and mathematical fields has become increasingly important in recent times. In computational and applied mathematics, computer programs can be used to efficiently process complex data in mere seconds. By utilizing different computer tools and programming languages, computers can manipulate various iterative algorithms to solve nonlinear problems. The convergence rate and computational costs per-iteration are essential factors that determine the effectiveness of an iterative algorithm. This article introduces a new and highly efficient iterative approach of sixteenth order. The authors propose a four-step iterative optimal derivative-free method for solving non-linear equations that arise in engineering application problems. The proposed method achieves an accuracy of order sixteen with only five functional evaluations, and the efficiency index is 1.741. To demonstrate the performance of the method, the authors present several numerical examples, application problems, and a study of dynamics, comparing the method with other available methods of the same order in the literature. Numerical results and dynamics are obtained using computer tools.","PeriodicalId":517760,"journal":{"name":"VFAST Transactions on Mathematics","volume":"43 48","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140400911","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信