Applied Mathematics and Computation最新文献_第9页

On the hybridizable discontinuous Galerkin method and superconvergence analysis for the diffusive viscous wave equation 扩散粘性波动方程的可杂化不连续伽辽金方法及超收敛分析

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129471

Lu Wang, Minfu Feng

引用次数: 0

Cooperation dynamics of social dilemmas on an opinion-dependent weighted network 意见依赖加权网络中社会困境的合作动态

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129476

Ji Quan , Leyao Tao , Xianjia Wang

{"title":"Cooperation dynamics of social dilemmas on an opinion-dependent weighted network","authors":"Ji Quan , Leyao Tao , Xianjia Wang","doi":"10.1016/j.amc.2025.129476","DOIUrl":"10.1016/j.amc.2025.129476","url":null,"abstract":"<div><div>In real society, different individuals have different opinions on a certain issue, and individuals with similar views tend to become close gradually, while individuals with different opinions tend to become distant. Based on this fact, we propose a weighted spatial prisoner's dilemma game model with opinions to explore the impact of link weight change influenced by differences in opinions on the evolution of cooperation. The strength of social relationships is indicated by the link weight which is dynamically updated by the differences in views between individuals. We investigate the effects of changes in the link weight control parameter, tolerance control parameter, and link weight adjustment amplitude on the evolution of cooperation. Through Monte Carlo simulations, we find that a co-evolutionary mechanism of game strategies and link weights influenced by opinions can facilitate the evolution of cooperation. More specifically, cooperation can be favored by an increase in the link weight control parameter, a decrease in the tolerance control parameter, and an increase in link weight adjustment amplitude. Changes in these parameters increase the heterogeneity of the network and therefore facilitate cooperation. These results help us understand how selfish individuals in a social dilemma can adjust their social relationships based on opinion dynamics to facilitate cooperation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129476"},"PeriodicalIF":3.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854366","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

Singularity-free fixed-time adaptive event-triggered fault-tolerant control for a QUAV with user-defined tracking performance 自定义跟踪性能的无奇点自适应事件触发容错控制

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129467

Xiaona Song , Ruikang Zhuo , Shuai Song , Ke Wang

{"title":"Singularity-free fixed-time adaptive event-triggered fault-tolerant control for a QUAV with user-defined tracking performance","authors":"Xiaona Song , Ruikang Zhuo , Shuai Song , Ke Wang","doi":"10.1016/j.amc.2025.129467","DOIUrl":"10.1016/j.amc.2025.129467","url":null,"abstract":"<div><div>In this paper, a singularity-free fixed-time adaptive interval type-2 fuzzy fault-tolerant control scheme with user-defined tracking performance is developed for a quadrotor unmanned aerial vehicle (QUAV) with unknown actuator failures under the command-filtered backstepping control (CFBC) framework. At first, the hyperbolic tangent function and interval type-2 fuzzy logic systems (IT2FLSs) are integrated to deal with unknown nonlinear expressions, where the potential singularity problem exposed in some existing fixed-time control schemes can be effectively prevented. Using a modified CFBC technique, the matter of “explosion of complexity” exposed in the classical recursive design procedure and the negative effects caused by filter error existing in dynamic surface control are overcome. Furthermore, the fixed time adaptive resilient controllers are designed for position subsystem and attitude subsystem, separately, where the event-triggered mechanism is incorporated into controller design to relax communication bandwidth constraints. Moreover, the rigorous analysis demonstrated that the designed control scheme can ensure that all closed-loop signals are fixed-time bounded, and the tracking errors can be regulated into a residual set satisfying a user-defined tracking performance. Ultimately, the effectiveness of the proposed control strategy is validated through the simulation results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129467"},"PeriodicalIF":3.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854496","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

Group size dynamics for a group following game with shared rewards 分享奖励的群体规模动态

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129470

Thomas A. Wettergren

引用次数: 0

The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game 空间囚徒困境博弈中声誉水平和差异对合作演化的影响

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129473

Yan Bi , Qingyi Hao , Kui Liu

{"title":"The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game","authors":"Yan Bi , Qingyi Hao , Kui Liu","doi":"10.1016/j.amc.2025.129473","DOIUrl":"10.1016/j.amc.2025.129473","url":null,"abstract":"<div><div>Benefiting from the development of information science and technology, more and more scholars use various complex networks as evolutionary carriers to research evolutionary game theory, which leads to the gradual unraveling of many evolutionary mechanisms. The reputation mechanism is particularly interesting and important among many mechanisms. Therefore, it has received widespread attention and research from related researchers, which is also mainly attributed to the important effect of reputation in promoting cooperation of evolution system. However, until now, the role of reputation mechanism in facilitating the evolution of cooperation has not been completely accurately revealed. In reality, the mechanism of mutual imitation of behaviors between interactive individuals based on reputation factors is still an interesting and unsolved problem. In this work, a novel evolutionary mechanism is proposed based on reputation levels and disparities, in which the evolutionary strategy of imitator is influenced by the reputation disparities of the imitated and the imitator. Moreover, based on the proposed evolutionary mechanism, this paper also explores the influence of reputation levels on the evolution of cooperation. Monte Carlo simulations verify that the proposed evolutionary mechanism is easier to promote cooperation of evolution system, especially when the reputation weight factor is larger, or the number of reputation levels is fewer, compared with the traditional PDG model. The study also indirectly reveals that streamlining the institutions is easy to promote social harmony and development.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129473"},"PeriodicalIF":3.5,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843133","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

Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth 有限带宽下加性有色高斯噪声网络控制系统的最优跟踪与调节性能

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129469

Bin Zhang , Da-Wei Ding

引用次数: 0

An improved RBF-WENO scheme for hyperbolic conservation laws 双曲守恒律的改进RBF-WENO格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-17 DOI: 10.1016/j.amc.2025.129472

Yang Sun, Ai-Qi Han

{"title":"An improved RBF-WENO scheme for hyperbolic conservation laws","authors":"Yang Sun, Ai-Qi Han","doi":"10.1016/j.amc.2025.129472","DOIUrl":"10.1016/j.amc.2025.129472","url":null,"abstract":"<div><div>In this paper, a novel fifth-order weighted essentially non-oscillatory (WENO) scheme by using radial basis function (RBF) is proposed to solve hyperbolic conservation laws. The key idea is to choose multi-quadric (MQ) RBF and trigonometric function to construct numerical flux and smoothness indicator respectively. First, we modify the RBF interpolation making it into the WENO reconstruction framework along with representing it by a perturbation of polynomial. The explicit form of disturbance term on each stencil is given. Through selecting the appropriate shape parameters of MQ RBF, the relevant WENO scheme achieves sixth-order accuracy than other well-known fifth-order WENO schemes under some conditions. Moreover, some differential operators based on trigonometric function space are employed to obtain new smoothness indicators that efficiently evaluates the sharp change of gradient on the candidate stencil. To highlight the effectiveness of the proposed WENO scheme, this new scheme is applied to several one and two-dimensional hyperbolic test problems, and compared with the existing schemes such as WENO-JS, WENO-M and WENO-Z. The numerical results show higher accuracy can be achieved in the smooth regions of the solutions, and no non-physical oscillations occur near the discontinuities, which verifies the higher resolution property and the better discontinuity-capturing ability of the improved scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129472"},"PeriodicalIF":3.5,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843240","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

Long time H1-norm stability and suboptimal convergence of a fully discrete L2-version compact difference method on nonuniform mesh grids to solve fourth-order subdiffusion equations 在非均匀网格上采用完全离散的 L2-version 紧凑差分法求解四阶次扩散方程的长时间 H1 准则稳定性和次优收敛性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-16 DOI: 10.1016/j.amc.2025.129465

Huifa Jiang , Emran Tohidi

{"title":"Long time H1-norm stability and suboptimal convergence of a fully discrete L2-version compact difference method on nonuniform mesh grids to solve fourth-order subdiffusion equations","authors":"Huifa Jiang , Emran Tohidi","doi":"10.1016/j.amc.2025.129465","DOIUrl":"10.1016/j.amc.2025.129465","url":null,"abstract":"<div><div>This study introduces a designed <em>L</em>2 compact approach for the fourth-order subdiffusion models on general nonuniform meshes. Initially, we establish long-time <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-stability and estimation of the error for the <em>L</em>2 compact approach under general nonuniform meshes, imposing only mild conditions on the time step ratio <span><math><msub><mrow><mi>ρ</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>. This is achieved by leveraging the positive semidefiniteness of an essential bilinear form linked to the operator of <em>L</em>2 fractional derivative discussed by Quan and Wu (2023) <span><span>[26]</span></span>. Subsequently, we proceed to discretize the spatial differentiation using the compact difference approach, resulting in a fully discrete scheme that achieves the convergence of fourth-order for the space variable. Additionally, we demonstrate that the rate of convergence in the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm is the half of <span><math><mo>(</mo><mn>5</mn><mo>−</mo><mi>α</mi><mo>)</mo></math></span> for the improved graded mesh grids. Lastly, we conduct some numerical experiments to validate the robustness and competitiveness of our suggested approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129465"},"PeriodicalIF":3.5,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143832562","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

A mathematical model of exploitative and interference competitions in stage-structured populations 阶段结构种群中剥削性和干扰性竞争的数学模型

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-13 DOI: 10.1016/j.amc.2025.129466

Kien Trung Phan, Anh Duc Nguyen, Thuy Phuong Nguyen

{"title":"A mathematical model of exploitative and interference competitions in stage-structured populations","authors":"Kien Trung Phan, Anh Duc Nguyen, Thuy Phuong Nguyen","doi":"10.1016/j.amc.2025.129466","DOIUrl":"10.1016/j.amc.2025.129466","url":null,"abstract":"<div><div>In population ecology, competition interactions between species are pivotal in shaping species growth and ecosystem stability. A prominent example is the phenomenon where one species preys on the offspring of another. This paper introduces and analyzes a novel stage-structured competition model to explore this ecological dynamic. Focusing on juvenile and adult life stages, we integrate two competition forms: exploitative (through shared resource limitation) and interference (where adults consume rival juveniles). While exploitative and interference competition are well-studied individually, their interplay in stage-structured populations remains underexplored. Our analysis reveals critical thresholds for resource abundance that determine whether species coexist, one dominates, or both perish. Remarkably, when one species inherently excels at resource exploitation, it dominates regardless of the interference rate on its rival's juveniles. Furthermore, increasing resource productivity can induce Hopf bifurcations, leading to cyclic population dynamics—a finding with implications for managing ecosystems under environmental change. Numerical simulations are given to illustrate and validate our theoretical findings. These results advance our understanding of how life-stage-specific interactions mediate coexistence and resilience in ecological communities.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129466"},"PeriodicalIF":3.5,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823604","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

Corrigendum to “Szeged and Mostar root-indices of graphs” “图的seeged和Mostar根指数”的勘误表

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-12 DOI: 10.1016/j.amc.2025.129444

Simon Brezovnik , Matthias Dehmer , Niko Tratnik , Petra Žigert Pleteršek

引用次数: 0