Computational and Mathematical Methods最新文献_第7页

Hybrid method for two parameter singularly perturbed elliptic boundary value problems 双参数奇摄动椭圆边值问题的混合方法

Computational and Mathematical Methods Pub Date : 2021-11-13 DOI: 10.1002/cmm4.1210

Anuradha Jha, Mohan Krishen Kadalbajoo

引用次数: 0

A new family of 𝒜 − acceptable nonlinear methods with fixed and variable stepsize approach 一类新的具有定步长和变步长的非线性方法

Computational and Mathematical Methods Pub Date : 2021-11-12 DOI: 10.1002/cmm4.1213

Sania Qureshi, Amanullah Soomro, Evren Hınçal

{"title":"A new family of \u0000 \u0000 𝒜\u0000 −\u0000 acceptable nonlinear methods with fixed and variable stepsize approach","authors":"Sania Qureshi, Amanullah Soomro, Evren Hınçal","doi":"10.1002/cmm4.1213","DOIUrl":"10.1002/cmm4.1213","url":null,"abstract":"Solving stiff, singular, and singularly perturbed initial value problems (IVPs) has always been challenging for researchers working in different fields of science and engineering. In this research work, an attempt is made to devise a family of nonlinear methods among which second- to fourth-order methods are not only <math>\u0000 <mrow>\u0000 <mi>𝒜</mi>\u0000 <mo>−</mo>\u0000 </mrow></math> stable but <math>\u0000 <mrow>\u0000 <mi>𝒜</mi>\u0000 <mo>−</mo>\u0000 </mrow></math> acceptable as well under order stars' conditions. These features make them more suitable for solving stiff and singular systems in ordinary differential equations. Methods with remaining orders are either zero- or conditionally stable. The theoretical analysis contains local truncation error, consistency, and order of accuracy of the proposed nonlinear methods. Furthermore, both fixed and variable stepsize approaches are introduced wherein the latter improves the performance of the devised methods. The applicability of the methods for solving the system of IVPs is also described. When used to solve problems from physical and real-life applications, including nonlinear logistic growth and stiff model for flame propagation, the proposed methods are found to have good results.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1213","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88922027","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: 9

Effect of Richardson number on stagnation point flow of double diffusive mixed convective slip flow of magnetohydrodynamic Casson fluid: A numerical study Richardson数对磁流体双扩散混合对流滑移流动驻点流动影响的数值研究

Computational and Mathematical Methods Pub Date : 2021-11-06 DOI: 10.1002/cmm4.1209

Mahantesh M. Nandeppanavar, Kemparaju M. Chandrashekhar, Raveendra Nagaraj

引用次数: 1

Modeling epidemics by means of the stochastic description of complex systems 用复杂系统的随机描述方法建模流行病

Computational and Mathematical Methods Pub Date : 2021-10-25 DOI: 10.1002/cmm4.1208

Bruno Carbonaro

{"title":"Modeling epidemics by means of the stochastic description of complex systems","authors":"Bruno Carbonaro","doi":"10.1002/cmm4.1208","DOIUrl":"10.1002/cmm4.1208","url":null,"abstract":"The aim of this article is to show a way in which the problem of predicting the evolution of an epidemic may be tackled by describing it in the framework of Boltzmann's kinetic theory, as it has been developed and applied in the last years to complex systems by a suitable modification of the Boltzmann equation, via a suitable reinterpretation of state variables and the introduction of the notion of «functional subsystems». Accordingly, in this article we model an arbitrary (national) population S as a complex system, split in two functional subsystems, the first containing all single individuals of S and the second containing the «care tools», that are to be meant as available places in hospitals with a sufficient number of physicians and of equipments for intensive cares. The state variable on the first subsystem will be the «health state», and the state variable on the other will be the «effectiveness». We shall then write a system of nonlinear ordinary differential equations which gives the evolution of the probability distribution on the set of possible values of the health states. By assigning data partly on the basis of plausibility assumptions and partly as estimated from those furnished by institutions of Campania region, the system takes a form allowing the numerical simulation of such evolution, which will be performed and presented in a forthcoming paper.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1208","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83391753","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: 2

Optimization of numerical models through instrumentation data integration: Digital twin models for dams 通过仪器数据集成优化数值模型:水坝的数字孪生模型

Computational and Mathematical Methods Pub Date : 2021-10-16 DOI: 10.1002/cmm4.1205

Eduardo R. Conde López, Miguel Ángel Toledo Municio, Eduardo Salete Casino

引用次数: 2

A block preconditioner for two-phase flow in porous media by mixed hybrid finite elements 多孔介质中两相流的混合有限元块预调节器

Computational and Mathematical Methods Pub Date : 2021-10-16 DOI: 10.1002/cmm4.1207

Stefano Nardean, Massimiliano Ferronato, Ahmad S. Abushaikha

引用次数: 3

Euclidean distance stratified random sampling based clustering model for big data mining 基于欧氏距离分层随机抽样的大数据挖掘聚类模型

Computational and Mathematical Methods Pub Date : 2021-10-15 DOI: 10.1002/cmm4.1206

Kamlesh Kumar Pandey, Diwakar Shukla

{"title":"Euclidean distance stratified random sampling based clustering model for big data mining","authors":"Kamlesh Kumar Pandey, Diwakar Shukla","doi":"10.1002/cmm4.1206","DOIUrl":"10.1002/cmm4.1206","url":null,"abstract":"Big data mining is related to large-scale data analysis and faces computational cost-related challenges due to the exponential growth of digital technologies. Classical data mining algorithms suffer from computational deficiency, memory utilization, resource optimization, scale-up, and speed-up related challenges in big data mining. Sampling is one of the most effective data reduction techniques that reduces the computational cost, improves scalability and computational speed with high efficiency for any data mining algorithm in single and multiple machine execution environments. This study suggested a Euclidean distance-based stratum method for stratum creation and a stratified random sampling-based big data mining model using the K-Means clustering (SSK-Means) algorithm in a single machine execution environment. The performance of the SSK-Means algorithm has achieved better cluster quality, speed-up, scale-up, and memory utilization against the random sampling-based K-Means and classical K-Means algorithms using silhouette coefficient, Davies Bouldin index, Calinski Harabasz index, execution time, and speedup ratio internal measures.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1206","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77407540","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

Solving Eikonal equation in 2D and 3D by generalized finite difference method 用广义有限差分法求解二维和三维Eikonal方程

Computational and Mathematical Methods Pub Date : 2021-10-10 DOI: 10.1002/cmm4.1203

Eduardo Salete, Jesús Flores, Ángel García, Mihaela Negreanu, Antonio M. Vargas, Francisco Ureña

引用次数: 0

Pricing passport option using higher order compact scheme 使用高阶紧凑方案定价护照选项

Computational and Mathematical Methods Pub Date : 2021-10-10 DOI: 10.1002/cmm4.1204

Ankur Kanaujiya, Siddhartha P. Chakrabarty

引用次数: 0

An asymptotic streamline diffusion finite element method for singularly perturbed convection-diffusion delay differential equations with point source 点源奇摄动对流-扩散时滞微分方程的渐近流线扩散有限元法

Computational and Mathematical Methods Pub Date : 2021-10-08 DOI: 10.1002/cmm4.1201

Senthilkumar Sethurathinam, Subburayan Veerasamy, Rameshbabu Arasamudi, Ravi P. Agarwal

{"title":"An asymptotic streamline diffusion finite element method for singularly perturbed convection-diffusion delay differential equations with point source","authors":"Senthilkumar Sethurathinam, Subburayan Veerasamy, Rameshbabu Arasamudi, Ravi P. Agarwal","doi":"10.1002/cmm4.1201","DOIUrl":"https://doi.org/10.1002/cmm4.1201","url":null,"abstract":"In this article, we presented an asymptotic SDFEM for singularly perturbed convection diffusion type differential difference equations with point source term. First, the solution is decomposed into two functions, among them one is the solution of delay differential equation and other one is the solution of differential equation with point source. Furthermore, using the asymptotic expansion approximation, the delay differential equation is modified as a nondelay differential equations. Streamline diffusion finite element methods are applied to approximate the solutions of the two problems. We prove that the present method gives an almost second-order convergence in maximum norm and square integrable norm, whereas first-order convergence in <math>\u0000 <mrow>\u0000 <msup>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow></math> norm. Numerical results are presented to validate the theoretical results.","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"3 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cmm4.1201","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137812567","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