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Advances in continuous and discrete models最新文献

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The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations 求解受电弓型Volterra积分微分方程的Chebyshev多项式的运算矩阵
Advances in continuous and discrete models Pub Date : 2022-10-01 DOI: 10.1186/s13662-022-03729-1
Tianfu Ji, Jianhua Hou, Changqing Yang
{"title":"The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations","authors":"Tianfu Ji, Jianhua Hou, Changqing Yang","doi":"10.1186/s13662-022-03729-1","DOIUrl":"https://doi.org/10.1186/s13662-022-03729-1","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"1-16"},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44113890","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
A fast-convolution based space–time Chebyshev spectral method for peridynamic models 基于快速卷积的时空切比雪夫谱方法研究周期动力学模型
Advances in continuous and discrete models Pub Date : 2022-09-06 DOI: 10.48550/arXiv.2209.02689
L. Lopez, S. F. Pellegrino
{"title":"A fast-convolution based space–time Chebyshev spectral method for peridynamic models","authors":"L. Lopez, S. F. Pellegrino","doi":"10.48550/arXiv.2209.02689","DOIUrl":"https://doi.org/10.48550/arXiv.2209.02689","url":null,"abstract":"Peridynamics is a nonlocal generalization of continuum mechanics theory which addresses discontinuous problems without using partial derivatives and replacing them by an integral operator. As a consequence, it finds applications in the framework of the development and evolution of fractures and damages in elastic materials. In this paper we consider a one-dimensional nonlinear model of peridynamics and propose a suitable two-dimensional fast-convolution spectral method based on Chebyshev polynomials to solve the model. This choice allows us to gain the same accuracy both in space and time. We show the convergence of the method and perform several simulations to study the performance of the spectral scheme.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"1-18"},"PeriodicalIF":0.0,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48350493","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: 5
A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising 时间分数阶各向异性扩散方程的时间分裂局部无网格方法:在图像去噪中的应用
Advances in continuous and discrete models Pub Date : 2022-09-01 DOI: 10.1186/s13662-022-03728-2
Jalil Mazloum, B. Hadian Siahkal-Mahalle
{"title":"A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising","authors":"Jalil Mazloum, B. Hadian Siahkal-Mahalle","doi":"10.1186/s13662-022-03728-2","DOIUrl":"https://doi.org/10.1186/s13662-022-03728-2","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777359","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
An inverse problem of fourth-order partial differential equation with nonlocal integral condition 具有非局部积分条件的四阶偏微分方程反问题
Advances in continuous and discrete models Pub Date : 2022-09-01 DOI: 10.1186/s13662-022-03727-3
M. Huntul, M. Abbas
{"title":"An inverse problem of fourth-order partial differential equation with nonlocal integral condition","authors":"M. Huntul, M. Abbas","doi":"10.1186/s13662-022-03727-3","DOIUrl":"https://doi.org/10.1186/s13662-022-03727-3","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777730","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: 6
Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics 基于键的周动力学，对非局部流体动力学理论的探索综述
Advances in continuous and discrete models Pub Date : 2022-07-13 DOI: 10.1186/s13662-022-03732-6
Nunzio Dimola, A. Coclite, G. Fanizza, T. Politi
{"title":"Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics","authors":"Nunzio Dimola, A. Coclite, G. Fanizza, T. Politi","doi":"10.1186/s13662-022-03732-6","DOIUrl":"https://doi.org/10.1186/s13662-022-03732-6","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"1-26"},"PeriodicalIF":0.0,"publicationDate":"2022-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46161165","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: 3
The nature of properly human mathematics 正确的人类数学的本质
Advances in continuous and discrete models Pub Date : 2022-07-02 DOI: 10.1186/s13662-023-03761-9
D. Ruelle
{"title":"The nature of properly human mathematics","authors":"D. Ruelle","doi":"10.1186/s13662-023-03761-9","DOIUrl":"https://doi.org/10.1186/s13662-023-03761-9","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48874629","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
An uncertain production-inventory problem with deteriorating items 一个不确定的生产库存问题与恶化的项目
Advances in continuous and discrete models Pub Date : 2022-05-23 DOI: 10.1186/s13662-022-03714-8
Jiayu Shen, Yueqiang Jin, Bing Liu, Ziqiang Lu, Xin Chen
{"title":"An uncertain production-inventory problem with deteriorating items","authors":"Jiayu Shen, Yueqiang Jin, Bing Liu, Ziqiang Lu, Xin Chen","doi":"10.1186/s13662-022-03714-8","DOIUrl":"https://doi.org/10.1186/s13662-022-03714-8","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777647","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
Observer-based event-triggered finite-time consensus for general linear leader-follower multi-agent systems 一般线性领导-随从多智能体系统的基于观测器的事件触发有限时间共识
Advances in continuous and discrete models Pub Date : 2022-05-12 DOI: 10.1186/s13662-022-03711-x
Yiping Luo, Jialong Pang
{"title":"Observer-based event-triggered finite-time consensus for general linear leader-follower multi-agent systems","authors":"Yiping Luo, Jialong Pang","doi":"10.1186/s13662-022-03711-x","DOIUrl":"https://doi.org/10.1186/s13662-022-03711-x","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777486","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
An integral equation representation for American better-of option on two underlying assets 两种标的资产美式优价期权的积分方程表示
Advances in continuous and discrete models Pub Date : 2022-05-12 DOI: 10.1186/s13662-022-03713-9
Junkee Jeon, Geonwoo Kim
{"title":"An integral equation representation for American better-of option on two underlying assets","authors":"Junkee Jeon, Geonwoo Kim","doi":"10.1186/s13662-022-03713-9","DOIUrl":"https://doi.org/10.1186/s13662-022-03713-9","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777526","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
Numerical investigation of fractional-order Kersten–Krasil’shchik coupled KdV–mKdV system with Atangana–Baleanu derivative 具有Atangana–Baleanu导数的分数阶Kersten–Krasil’schik耦合KdV–mKdV系统的数值研究
Advances in continuous and discrete models Pub Date : 2022-05-02 DOI: 10.1186/s13662-022-03709-5
Naveed H. Iqbal, T. Botmart, W. Mohammed, Akbar Ali
{"title":"Numerical investigation of fractional-order Kersten–Krasil’shchik coupled KdV–mKdV system with Atangana–Baleanu derivative","authors":"Naveed H. Iqbal, T. Botmart, W. Mohammed, Akbar Ali","doi":"10.1186/s13662-022-03709-5","DOIUrl":"https://doi.org/10.1186/s13662-022-03709-5","url":null,"abstract":"","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49462913","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: 15
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