Communications in Nonlinear Science and Numerical Simulation最新文献

An efficient numerical scheme for two-dimensional nonlinear time fractional Schrödinger equation 二维非线性时间分数薛定谔方程的高效数值方案

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-05 DOI: 10.1016/j.cnsns.2025.108824

Jun Ma , Tao Sun , Hu Chen

引用次数: 0

A parameter-robust and decoupled discretization scheme for nonlinear Biot’s model in poroelasticity

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-05 DOI: 10.1016/j.cnsns.2025.108798

Linshuang He , Xi Li , Minfu Feng

{"title":"A parameter-robust and decoupled discretization scheme for nonlinear Biot’s model in poroelasticity","authors":"Linshuang He , Xi Li , Minfu Feng","doi":"10.1016/j.cnsns.2025.108798","DOIUrl":"10.1016/j.cnsns.2025.108798","url":null,"abstract":"<div><div>We present a new robust and decoupled scheme for Biot’s model with displacement-dependent nonlinear permeability. The scheme combines a low-order H(div)-conforming element pair <span><math><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>⊕</mo><msub><mrow><mi>RT</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>−</mo><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></math></span> approximation with a first-order semi-explicit time discretization. Two stabilization terms are incorporated into the modified conforming-like formulation to achieve the scheme’s stability. One term penalizes the nonconformity of the H(div)-conforming component, and the other stabilizes pressure oscillations. The constructed scheme sequentially solves the displacement and pressure, which naturally linearizes the nonlinear terms without additional internal iterations, thus enhancing the computational efficiency. We improve the weak coupling condition and then prove optimal convergence in space and time under this condition. Meanwhile, our scheme provides robust solutions that do not suffer from volumetric locking as the Lamé coefficient tends to infinity and spurious pressure oscillations as the constrained specific storage coefficient and the permeability or time step go to zero. Finally, we verify these theoretical results with several numerical examples of nonlinear displacement–permeability relationships.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108798"},"PeriodicalIF":3.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786227","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}

引用次数: 0

Impact of network heterogeneity on neuronal synchronization

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108810

Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán

{"title":"Impact of network heterogeneity on neuronal synchronization","authors":"Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán","doi":"10.1016/j.cnsns.2025.108810","DOIUrl":"10.1016/j.cnsns.2025.108810","url":null,"abstract":"<div><div>Synchronization dynamics is a phenomenon of great interest in many fields of science. One of the most important fields is neuron dynamics, as synchronization in certain regions of the brain is related to some of the most common mental illnesses. To study the impact of the network heterogeneity in the neuronal synchronization, we analyze a small-world network of non-identical Chialvo neurons that are electrically coupled. We introduce a mismatch in one of the model parameters to introduce the heterogeneity of the network. Our study examines the effects of this parameter mismatch, the noise intensity in the stochastic model, and the coupling strength between neurons on synchronization and firing frequency. We have identified critical values of noise intensity, parameter mismatch, and rewiring probability that facilitate effective synchronization within the network. Furthermore, we observe that the balance between excitatory and inhibitory connections plays a crucial role in achieving global synchronization. Our findings offer insights into the mechanisms driving synchronization dynamics in complex neuron networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108810"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769340","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}

引用次数: 0

Information dissemination and phase transition in fractal social networks

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108812

Li Luo, Fuzhong Nian, Fangfang Li, Yuanlin Cui

{"title":"Information dissemination and phase transition in fractal social networks","authors":"Li Luo, Fuzhong Nian, Fangfang Li, Yuanlin Cui","doi":"10.1016/j.cnsns.2025.108812","DOIUrl":"10.1016/j.cnsns.2025.108812","url":null,"abstract":"<div><div>Fractals are a common geometric structure in nature, exhibiting the rich complexity and regularity of the physical world. In the study of complex networks, the self-similarity and multi-layered characteristics of fractal networks make them an ideal model for investigating information dissemination mechanisms. This paper constructs a fractal social network with three-layer granularity structure and proposes a novel dynamic fractal propagation model: F-SI model, in order to explore the factors influencing information propagation and the phase transition phenomena in fractal social networks. In the propagation model, node interest and node contribution are introduced to measure the cumulative impact and propagation probability of nodes in networks of different granularities, and to explore the dynamics of information dissemination under different conditions. The experiments show that information dissemination in fractal social networks exhibits the staircase propagation and phase transition phenomenon. The phase transition is closely related to the group structure and infection density of networks with varying granularities. Research indicates that controlling the propagation speed is more effective in curbing information dissemination in fractal network than controlling the propagation scope. This study provides theoretical guidance for controlling the spread of epidemics and public opinion in networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108812"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760563","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}

引用次数: 0

Relaxed inertial subgradient extragradient methods for equilibrium problems in Hilbert spaces and their applications to image restoration

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108795

Habib ur Rehman , Bing Tan , Jen-Chih Yao

引用次数: 0

Stability and stabilization of set differential systems with non-instantaneous impulses

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108807

Peiguang Wang , Mengyu Guo , Wenli Wang

引用次数: 0

Zero-sum games-based optimal fault tolerant control for control-constrained multiplayer systems with external disturbances via adaptive dynamic programming

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108804

Shihui Liu , Ning Xu , Lun Li , Khalid H. Alharbi , Xudong Zhao

{"title":"Zero-sum games-based optimal fault tolerant control for control-constrained multiplayer systems with external disturbances via adaptive dynamic programming","authors":"Shihui Liu , Ning Xu , Lun Li , Khalid H. Alharbi , Xudong Zhao","doi":"10.1016/j.cnsns.2025.108804","DOIUrl":"10.1016/j.cnsns.2025.108804","url":null,"abstract":"<div><div>In this paper, the optimal fault tolerant control problem is investigated for constrained multiplayer systems with external disturbances and completely unknown dynamics. According to games theory, each control player along with its corresponding fault player and disturbance player can be regarded as a two-player zero-sum game, respectively. To release the restriction on the system dynamics, a neural network-based system identification technique is employed to reconstruct the completely unknown system models. A new nonquadratic function is constructed to incorporate the control constraints into the optimization, and the corresponding constrained Hamilton–Jacobi-Isaacs equations (HJIEs) are derived. Then, the constrained HJIEs are solved by adopting a single critic neural network, where an experience replay technique is utilized to exclude the persistence of excitation condition. Furthermore, all signals of the close-loop system are proven to be uniformly ultimately bounded based on the Lyapunov stability theory. Finally, two examples are presented to verify the effectiveness of the developed optimal zero-sum games scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108804"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143776646","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}

引用次数: 0

Temporary capture about the Moon involving Sun–Earth libration point dynamics

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-01 DOI: 10.1016/j.cnsns.2025.108792

Bo Pang , Josep J. Masdemont , Dong Qiao

引用次数: 0

Nonlinear 3D mechanical models for implicit standard materials

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-01 DOI: 10.1016/j.cnsns.2025.108793

Andaluzia Matei

引用次数: 0

Robust numerical framework for simulating 2D fractional time–space stochastic diffusion equation driven by spatio-temporal noise: L1-FFT hybrid approach

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-31 DOI: 10.1016/j.cnsns.2025.108791

Z. Moniri , A. Babaei , B. Parsa Moghaddam

{"title":"Robust numerical framework for simulating 2D fractional time–space stochastic diffusion equation driven by spatio-temporal noise: L1-FFT hybrid approach","authors":"Z. Moniri , A. Babaei , B. Parsa Moghaddam","doi":"10.1016/j.cnsns.2025.108791","DOIUrl":"10.1016/j.cnsns.2025.108791","url":null,"abstract":"<div><div>This paper presents an in-depth analysis of numerical methods for solving two-dimensional fractional time–space stochastic diffusion equations, employing the Caputo fractional derivative and the fractional Laplacian. The study utilizes the L1-algorithm for temporal discretization, ensuring an accurate representation of fractional dynamics, while the Fast Fourier Transform is applied for spatial discretization to efficiently handle large-scale computational challenges. The spatio-temporal multiplicative Gaussian noise is modeled as the product of a Brownian sheet and a Brownian bridge, with the 2D Karhunen–Loève expansion implemented for noise generation. This approach is evaluated against Euler-type simulation technique, establishing a robust framework for stochastic simulations. Through comprehensive testing using two benchmark initial conditions — the sinc function and a single Gaussian distribution — the effectiveness of the proposed approach was validated in resolving two-dimensional fractional stochastic diffusion equations and simulating pollutant concentration dispersion patterns. These advanced methodologies enhance the understanding of fractional diffusion processes and offer practical tools for addressing complex problems in environmental modeling and related fields.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108791"},"PeriodicalIF":3.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748319","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}

引用次数: 0