Computational and Mathematical Methods最新文献_第9页

Invariant measure for continuous open chain of contours with discrete time 离散时间连续开链轮廓的不变测度

Computational and Mathematical Methods Pub Date : 2021-09-28 DOI: 10.1002/cmm4.1197

Marina V. Yashina, Alexander G. Tatashev

{"title":"Invariant measure for continuous open chain of contours with discrete time","authors":"Marina V. Yashina, Alexander G. Tatashev","doi":"10.1002/cmm4.1197","DOIUrl":"10.1002/cmm4.1197","url":null,"abstract":"A dynamical system is studied. This system belongs to the class of contour networks introduced by A.P. Buslaev. The system is a version of the system called an open chain of contours. Continuous and discrete versions of the system were considered earlier. The system contains N contours. There is one adjacent contour for the utmost left and the utmost right contour, and there are two adjacent contours for any other contour. There is a common point of any two adjacent contours. This point is called a node. There is a cluster in each contour. For the continuous version, the cluster is a segment, moving with constant velocity if there is no delay. For the discrete version, the cluster is a group of adjacent particles. Delays are due to that two clusters may not move through the same node simultaneously. The main system characteristic, studied earlier, is the average velocity of clusters. In this paper, the continious and discrete version of the open chain of contours are considered. The following version of the system is also considered. Each cluster is a segment, and the cluster is shifted onto the distance α at any discrete moment if no delay occurs. We have obtained the limit distribution of the system states. We have also obtained the limit state distribution (invariant measure) for the open chain of contours with continuous state space and continuos time and for the open chain of contours with discrete state space and discrete time.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1197","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89964564","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 approximations for a class of nonlinear higher order singular boundary value problem by using homotopy perturbation and variational iteration method 用同伦摄动和变分迭代法求解一类非线性高阶奇异边值问题

Computational and Mathematical Methods Pub Date : 2021-09-28 DOI: 10.1002/cmm4.1195

Biswajit Pandit, Amit Kumar Verma, Ravi P. Agarwal

{"title":"Numerical approximations for a class of nonlinear higher order singular boundary value problem by using homotopy perturbation and variational iteration method","authors":"Biswajit Pandit, Amit Kumar Verma, Ravi P. Agarwal","doi":"10.1002/cmm4.1195","DOIUrl":"10.1002/cmm4.1195","url":null,"abstract":"In this work, we focus on the non-linear fourth order class of singular boundary value problem which contains the parameter <math>\u0000 <mrow>\u0000 <mi>λ</mi>\u0000 </mrow></math>. We convert this non-linear differential equation into third order non-linear differential equation. The third order problem is singular, non self adjoint, and nonlinear. Moreover, depending upon <math>\u0000 <mrow>\u0000 <mi>λ</mi>\u0000 </mrow></math>, it admits multiple solutions. Hence, it is too difficult to capture these solutions by any discrete method such as finite difference and so forth. Here we develop an iterative technique with the help of homotopy perturbation method and variational iteration method in a suitable way. Convergence of this series solution is studied in a novel way. We compute these solutions numerically. For small positive values of <math>\u0000 <mrow>\u0000 <mi>λ</mi>\u0000 </mrow></math>, singular BVP has two solutions while solutions can not be found for large positive values of <math>\u0000 <mrow>\u0000 <mi>λ</mi>\u0000 </mrow></math>. Furthermore, we also find dual solutions for <math>\u0000 <mrow>\u0000 <mi>λ</mi>\u0000 <mo><</mo>\u0000 <mn>0</mn>\u0000 </mrow></math>.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1195","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83353944","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: 1

An efficient family of Steffensen-type methods with memory for solving systems of nonlinear equations 一类求解非线性方程组的具有记忆的steffensen型有效方法

Computational and Mathematical Methods Pub Date : 2021-09-22 DOI: 10.1002/cmm4.1192

Mona Narang, Saurabh Bhatia, Vinay Kanwar

引用次数: 0

Data curation in the Internet of Things: A decision model approach 物联网中的数据管理:决策模型方法

Computational and Mathematical Methods Pub Date : 2021-09-20 DOI: 10.1002/cmm4.1191

Francisco José de Haro-Olmo, Álvaro Valencia-Parra, Ángel Jesús Varela-Vaca, José Antonio Álvarez-Bermejo

引用次数: 3

Convergence of collocation methods for solving periodic boundary value problems for renewal equations defined through finite-dimensional boundary conditions 求解由有限维边界条件定义的更新方程周期边值问题的配点法的收敛性

Computational and Mathematical Methods Pub Date : 2021-09-08 DOI: 10.1002/cmm4.1190

Alessia Andò

引用次数: 5

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