Pub Date : 2026-01-29DOI: 10.1016/j.cnsns.2026.109806
Liming Guo, Shishun Li
In this paper, we propose a second-order in time decoupled finite element method for the time-dependent Stokes-Biot problem. Our numerical scheme is a combination of the second-order backward differentiation formula and the second-order Gear’s extrapolation approach. It uncouples the original problem into two decoupled problems, the Stokes model and the Biot model. We establish the stability of the proposed fully-discrete finite element scheme in both the L2-norm and the H1-norm, and derive the corresponding error estimates. Numerical results show that our algorithm delivers faster computation and lower memory usage than monolithic methods while maintaining comparable accuracy.
{"title":"Stability and error estimates of a second-order decoupled finite element method for the time-dependent Stokes-Biot problem","authors":"Liming Guo, Shishun Li","doi":"10.1016/j.cnsns.2026.109806","DOIUrl":"10.1016/j.cnsns.2026.109806","url":null,"abstract":"<div><div>In this paper, we propose a second-order in time decoupled finite element method for the time-dependent Stokes-Biot problem. Our numerical scheme is a combination of the second-order backward differentiation formula and the second-order Gear’s extrapolation approach. It uncouples the original problem into two decoupled problems, the Stokes model and the Biot model. We establish the stability of the proposed fully-discrete finite element scheme in both the <em>L</em><sup>2</sup>-norm and the <em>H</em><sup>1</sup>-norm, and derive the corresponding error estimates. Numerical results show that our algorithm delivers faster computation and lower memory usage than monolithic methods while maintaining comparable accuracy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109806"},"PeriodicalIF":3.8,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Well-Posedness and Numerical Approximation of a Nonlocal Thermistor Problem","authors":"Ibrahim DAHI, Moulay Rchid SIDI AMMI, Mostafa TAHIRI, Delfim F.M. Torres","doi":"10.1016/j.cnsns.2026.109810","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109810","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"77 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-29DOI: 10.1016/j.cnsns.2026.109795
Jianguo Si, Xinyu Guan
{"title":"Construction of analytic solutions to nonlinear differential equations with multiple proportional delays","authors":"Jianguo Si, Xinyu Guan","doi":"10.1016/j.cnsns.2026.109795","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109795","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109798
Yuanyuan Liu, Tereda Seifu, Zhexin Wen
{"title":"Dynamics of Fear Effect on a Stochastic Tritrophic Level Food Chain Model with Markov Switching","authors":"Yuanyuan Liu, Tereda Seifu, Zhexin Wen","doi":"10.1016/j.cnsns.2026.109798","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109798","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"279 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109796
Ulises Chialva, Walter Reartes
{"title":"Chaos Control and Stabilization of a Hybrid Chaotic Oscillator through Deterministic and Stochastic Resets","authors":"Ulises Chialva, Walter Reartes","doi":"10.1016/j.cnsns.2026.109796","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109796","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"71 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109785
Grace Nnennaya Ogwo, Habib ur Rehman, Jen-Chih Yao
{"title":"Inertial Subgradient–Extragradient Schemes for Variational Inequalities in 2-Uniformly Convex Spaces","authors":"Grace Nnennaya Ogwo, Habib ur Rehman, Jen-Chih Yao","doi":"10.1016/j.cnsns.2026.109785","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109785","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":"109785"},"PeriodicalIF":3.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109802
Faming Lei, Mingjun Du, Cheng Yu
{"title":"Synchronization analysis of tri-motor vibration system considering an improved Active Disturbance Rejection Control algorithm","authors":"Faming Lei, Mingjun Du, Cheng Yu","doi":"10.1016/j.cnsns.2026.109802","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109802","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"103 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109803
Yonghong Chen , Shoucheng Yuan , Xiaoqiu Lv , Jun Cheng , Jinde Cao
This paper explores probability-based dynamic event-triggered security control for fuzzy systems with nonhomogeneous sojourn probabilities (NSPs). A novel framework for NSP-based fuzzy systems is developed using a deterministic signal to accurately capture dynamic behavior, thereby overcoming the challenge of estimating mode transition probabilities. Considering the stochastic nature of network-induced delays, a new probability-based dynamic event-triggered protocol is proposed, where the threshold function is mode-dependent and adapts probabilistically. Additionally, to address delay segmentation and deception attacks effectively, a flexible protocol-based fuzzy control law is introduced, leveraging probability distribution information. Finally, the theoretical findings are validated through simulation experiments using a mass-spring mechanical model, confirming their effectiveness and practical applicability.
{"title":"Protocol-Based security control for fuzzy systems with nonhomogeneous sojourn probabilities","authors":"Yonghong Chen , Shoucheng Yuan , Xiaoqiu Lv , Jun Cheng , Jinde Cao","doi":"10.1016/j.cnsns.2026.109803","DOIUrl":"10.1016/j.cnsns.2026.109803","url":null,"abstract":"<div><div>This paper explores probability-based dynamic event-triggered security control for fuzzy systems with nonhomogeneous sojourn probabilities (NSPs). A novel framework for NSP-based fuzzy systems is developed using a deterministic signal to accurately capture dynamic behavior, thereby overcoming the challenge of estimating mode transition probabilities. Considering the stochastic nature of network-induced delays, a new probability-based dynamic event-triggered protocol is proposed, where the threshold function is mode-dependent and adapts probabilistically. Additionally, to address delay segmentation and deception attacks effectively, a flexible protocol-based fuzzy control law is introduced, leveraging probability distribution information. Finally, the theoretical findings are validated through simulation experiments using a mass-spring mechanical model, confirming their effectiveness and practical applicability.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109803"},"PeriodicalIF":3.8,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-28DOI: 10.1016/j.cnsns.2026.109793
Jie Chu, Yuejie Li, Minfu Feng, Zhendong Luo
{"title":"Two-grid reduced-dimension method and applications for the nonlinear single phase flow model coupled with ground stress in porous median","authors":"Jie Chu, Yuejie Li, Minfu Feng, Zhendong Luo","doi":"10.1016/j.cnsns.2026.109793","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109793","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"44 1","pages":"109793"},"PeriodicalIF":3.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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