Computational and Mathematical Methods最新文献_第5页

A numerical method for solution of incompressible Navier–Stokes equations in streamfunction-vorticity formulation 流函数涡度型不可压缩Navier-Stokes方程的数值解法

Computational and Mathematical Methods Pub Date : 2021-08-26 DOI: 10.1002/cmm4.1188

Saad Raza, Abdul Rauf, Jamilu Sabi'u, Abdullah Shah

引用次数: 1

Approximate solution of the electrostatic nanocantilever model via optimal perturbation iteration method 静电纳米反杠杆模型的最优摄动迭代近似解

Computational and Mathematical Methods Pub Date : 2021-08-24 DOI: 10.1002/cmm4.1189

Waleed Adel, Sinan Deniz

引用次数: 1

On an efficient modification of the Chebyshev method 切比雪夫方法的一种有效改进

Computational and Mathematical Methods Pub Date : 2021-08-18 DOI: 10.1002/cmm4.1187

José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Ángel Alberto Magreñán

引用次数: 0

Ball comparison between frozen Potra and Schmidt–Schwetlick schemes with dynamical analysis 冻结Potra和Schmidt-Schwetlick方案的动力学比较

Computational and Mathematical Methods Pub Date : 2021-08-18 DOI: 10.1002/cmm4.1186

Michael Argyros, Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán, Alejandro Moysi, Íñigo Sarría

{"title":"Ball comparison between frozen Potra and Schmidt–Schwetlick schemes with dynamical analysis","authors":"Michael Argyros, Ioannis K. Argyros, Daniel González, Ángel Alberto Magreñán, Alejandro Moysi, Íñigo Sarría","doi":"10.1002/cmm4.1186","DOIUrl":"10.1002/cmm4.1186","url":null,"abstract":"In this article, we propose a new research related to the convergence of the frozen Potra and Schmidt–Schwetlick schemes when we apply to equations. The purpose of this study is to introduce a comparison between two solutions to equations under the same conditions. In particular, we show the convergence radius and the uniqueness ball coincidence, while the error estimates are generally different. In this work, we extended the local convergence for Banach space valued operators using only the divided difference of order one and the first derivative of the schemes. This is a great advantage since we improve convergence by avoiding calculating higher-order derivatives that can either be difficult or not even exist. On the other hand, we also present a dynamical study of the behavior of a method compared with its no frozen alternative in order to see the behavior of both. We will study the basins of attraction of the two methods to three different polynomials involving two real, three real, and two real and two complex different solutions.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/cmm4.1186","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84890960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcation analysis and chaos control of discrete prey–predator model incorporating novel prey–refuge concept 包含新猎物-避难所概念的离散猎物-捕食者模型的分岔分析与混沌控制

Computational and Mathematical Methods Pub Date : 2021-08-11 DOI: 10.1002/cmm4.1185

Prasun K. Santra, Ghanshaym S. Mahapatra, Ganga R. Phaijoo

引用次数: 9

On the local convergence of efficient Newton-type solvers with frozen derivatives for nonlinear equations 非线性方程具有冻结导数的有效牛顿型解的局部收敛性

Computational and Mathematical Methods Pub Date : 2021-08-02 DOI: 10.1002/cmm4.1184

Ramandeep Behl, Ioannis K. Argyros, Christopher I. Argyros

{"title":"On the local convergence of efficient Newton-type solvers with frozen derivatives for nonlinear equations","authors":"Ramandeep Behl, Ioannis K. Argyros, Christopher I. Argyros","doi":"10.1002/cmm4.1184","DOIUrl":"10.1002/cmm4.1184","url":null,"abstract":"The aim of this article is to study the local convergence of a generalized <math>\u0000 <mrow>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>2</mn>\u0000 </mrow></math>-step solver with nondecreasing order of convergence <math>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>3</mn>\u0000 </mrow></math>. Sharma and Kumar gave the order of convergence using Taylor series expansions and derivatives up to the order <math>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mi>m</mi>\u0000 <mo>+</mo>\u0000 <mn>4</mn>\u0000 </mrow></math> that do not appear in the method. Hence, the applicability of it is very limited. The novelty of our article is that we use only the first derivative in our local convergence (that only appears on the proposed method). Error bounds and uniqueness results not given earlier are also provided based on q-continuity functions. We also work with Banach space instead of Euclidean space valued operators. This way the applicability of the solver is extended. Applications where the convergence criteria are tested to complete this article.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/cmm4.1184","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79103501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical solution of nonlinear dual-phase-lag model for analyzing heat transfer in tissue during thermal therapy 热疗过程中组织传热非线性双相滞后模型的数值解

Computational and Mathematical Methods Pub Date : 2021-07-24 DOI: 10.1002/cmm4.1183

Neha Sharma, Surjan Singh, Dinesh Kumar

引用次数: 2

Conserving the European Bonelli's eagle in spatiotemporal domain: Lesson from its feeding pattern 在时空域中保护欧洲波内利鹰:从其摄食模式的教训

Computational and Mathematical Methods Pub Date : 2021-07-11 DOI: 10.1002/cmm4.1181

Ranjit Kumar Upadhyay

{"title":"Conserving the European Bonelli's eagle in spatiotemporal domain: Lesson from its feeding pattern","authors":"Ranjit Kumar Upadhyay","doi":"10.1002/cmm4.1181","DOIUrl":"10.1002/cmm4.1181","url":null,"abstract":"Bonelli's eagle (Hieraaetus fasciatus), a threatened species in Western Europe, has suffered a critical and severe decline in last two decades. In this article, a qualitative analysis of an ecoepidemiological model which consists of two prey and a predator is carried out. We proposed and designed a spatiotemporal model to predict the distribution of a territorial predator, Bonelli's eagle and its two main prey species (rabbit and red-legged partridge). Bounded positive solution, feasibility of the equilibria, and their stability analysis are determined for the nonspatial counterpart of the system. Criteria for diffusion-driven instability caused by local random movements of rabbits, partridges, and Bonelli's eagle are obtained. Possible implications of the result for Bonelli's eagle conservation are discussed. We show that the inclusion of second prey in the system can drastically change the dynamics from the single prey case. We also found that the presence of a second prey is beneficial for the conservation of the threatened Bonelli's eagle population in Europe. Results obtained from theoretical analysis of the nonspatial model agree very well with the numerical simulation results. Lastly, via numerical simulation, we illustrate the effect of diffusion of the dynamical system in the spatial/spatiotemporal domain by different pattern formations.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/cmm4.1181","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73465218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the role of information on the spread of online shopping 建模信息对网络购物传播的作用

Computational and Mathematical Methods Pub Date : 2021-07-11 DOI: 10.1002/cmm4.1182

Sandeep Sharma

{"title":"Modeling the role of information on the spread of online shopping","authors":"Sandeep Sharma","doi":"10.1002/cmm4.1182","DOIUrl":"10.1002/cmm4.1182","url":null,"abstract":"For at least the past 5 years, online shopping has witnessed exponential growth. The trend of online shopping is very much popular in current times. In particular, the young population frequently turned up to different online shopping sites for their routine purchase. The information or awareness created by online shoppers also plays a pivotal role in the growth of online shopping. People got attracted to online shopping when they heard about attractive offers, discounts, and other benefits of online shopping from someone on their social network. Moreover, online shopping sites also introduced the review and rating facilities for individual products listed on their web page or mobile applications. Online buyers also use the information provided by the reviews before finalizing the purchase of an item. Motivated by these facts, in this article, we propose a compartmental mathematical model to study the impact of information on the growth of online shopping. The model subsequently subjected to dynamical analysis using the tools of dynamical systems and the theory of differential equations. Numerical simulation has been performed to validate our analytical findings.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/cmm4.1182","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73535913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications Dennis和Schnabel对牛顿方法的一个局部收敛结果的推广及其应用

Computational and Mathematical Methods Pub Date : 2021-06-27 DOI: 10.1002/cmm4.1179

Ioannis K. Argyros, Michael Argyros, Johan Ceballos, Mariana Ceballos, Daniel González

引用次数: 0