Applied Mathematics and Computation最新文献_第4页

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

Sampled-data-based stability and stabilization of Lurie systems 基于采样数据的Lurie系统稳定性与镇定

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-11 DOI: 10.1016/j.amc.2025.129455

Wei Wang, Jin-Ming Liang, Hong-Bing Zeng

引用次数: 0

Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel 具有奇异阿贝尔核的偏积分-微分方程的虚元逼近和BDF2时间离散格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129451

Mostafa Abbaszadeh , Mahmoud A. Zaky , Mehdi Dehghan

引用次数: 0

Event-based privacy-consensus control for multiagent systems: An enhanced framework for fault-tolerance and protection against eavesdropping 多代理系统中基于事件的隐私一致控制：一种增强的容错和防窃听保护框架

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129446

Xiaoyan Hu , Dan Ye

{"title":"Event-based privacy-consensus control for multiagent systems: An enhanced framework for fault-tolerance and protection against eavesdropping","authors":"Xiaoyan Hu , Dan Ye","doi":"10.1016/j.amc.2025.129446","DOIUrl":"10.1016/j.amc.2025.129446","url":null,"abstract":"<div><div>This paper investigates the consensus problem of privacy protection for multi-agent systems (MASs) under conditions of compound faults. We develop a fault-tolerant observer that utilizes intermediate variables to estimate both the system state and compound faults, specifically addressing sensor and actuator faults in the physical layer of the system. To safeguard the privacy of communication data at the network layer, a dual protection encoding and decoding strategy is proposed. Furthermore, an intermittent event-triggered mechanism (ETM) is introduced to mitigate the computational and communication burdens imposed by the encoding algorithms. Discrete-time combination measurement values are employed to enhance the generalizability of the ETM. Within the framework of encryption and decryption, fault-tolerant consensus control algorithm is designed to counter two types of eavesdroppers, thereby achieving privacy consensus for MASs while addressing challenges associated with physical layer faults. In the end, a simulation of an island microgrid (MG) with five distributed generators (DGs) is developed to confirm the efficacy of the suggested approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129446"},"PeriodicalIF":3.5,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800585","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

Quasi-synchronization of stochastic delayed multi-agent systems via gain-waving irregular intermittent control with its application in circuits 增益波不规则间歇控制随机延迟多智能体系统的准同步及其在电路中的应用

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129445

Hanfei Li , Jiankun Sun , Dong Pan , Huchen Luo , Sen Li

{"title":"Quasi-synchronization of stochastic delayed multi-agent systems via gain-waving irregular intermittent control with its application in circuits","authors":"Hanfei Li , Jiankun Sun , Dong Pan , Huchen Luo , Sen Li","doi":"10.1016/j.amc.2025.129445","DOIUrl":"10.1016/j.amc.2025.129445","url":null,"abstract":"<div><div>This paper focuses on the quasi-synchronization (Q-S) of stochastic heterogeneous delayed multi-agent systems (SHDMSs), in which a novel irregularly intermittent tactic with unbounded waving feedback gains (IIT-UWG) is imposed on the systems. By the IIT-UWG, the discontinuous control signals received outside hampers can be settled. And the presumable sabotage of actuators caused by the dramatic switching from a negative constant to zero of feedback gain will be averted. The properties of volatility and unboundedness for feedback gain expand the application range compared to previous strategy, while the present solution method is difficult to settle out these added properties, leading to challenges in the research of Q-S. For analyze the Q-S conducively, then we strike up a Halanay-mode inequality with inferior conservatism firstly. We represent a criterion of Q-S in virtue of Lyapunov method, the Halanay-mode inequality, and corresponding complete synchronization is developed. The design scheme of control gain in typical control problems is revealed. The paper concludes with an application and the parallel numerical examples in Chua's circuit.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129445"},"PeriodicalIF":3.5,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807810","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

Structure-preserving compact ADI schemes for the space fractional Klein-Gordon-Schrödinger equations and the dynamic simulation of solitary wave solutions 空间分数阶Klein-Gordon-Schrödinger方程的保结构紧致ADI格式及孤波解的动态模拟

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129443

Li Chai, Yang Liu, Hong Li, Zhichao Fang

引用次数: 0

Quantifying uncertainty in inverse scattering problems set in layered environments 层状环境中逆散射问题的不确定性量化

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-08 DOI: 10.1016/j.amc.2025.129453

Carolina Abugattas , Ana Carpio , Elena Cebrián , Gerardo Oleaga

{"title":"Quantifying uncertainty in inverse scattering problems set in layered environments","authors":"Carolina Abugattas , Ana Carpio , Elena Cebrián , Gerardo Oleaga","doi":"10.1016/j.amc.2025.129453","DOIUrl":"10.1016/j.amc.2025.129453","url":null,"abstract":"<div><div>The attempt to solve inverse scattering problems often leads to optimization and sampling problems that require handling moderate to large amounts of partial differential equations acting as constraints. We focus here on determining inclusions in a layered medium from the measurement of wave fields on the surface, while quantifying uncertainty and addressing the effect of wave solver quality. Inclusions are characterized by a few parameters describing their material properties and shapes. We devise algorithms to estimate the most likely configurations by optimizing cost functionals with Bayesian regularizations and wave constraints. In particular, we design an automatic Levenberg-Marquardt-Fletcher type scheme based on the use of algorithmic differentiation and adaptive finite element meshes for time dependent wave equation constraints with changing inclusions. In synthetic tests with a single frequency, this scheme converges in few iterations for increasing noise levels. To attain a global view of other possible high probability configurations and asymmetry effects we resort to parallelizable affine invariant Markov Chain Monte Carlo methods, at the cost of solving a few million wave problems. This forces the use of prefixed meshes. While the optimal configurations remain similar, we encounter additional high probability inclusions influenced by the prior information, the noise level and the layered structure, effect that can be reduced by considering more frequencies.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129453"},"PeriodicalIF":3.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790907","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