Applied Mathematics and Computation最新文献_第7页

Unsteady one dimensional motions of a new class of seemingly viscoplastic materials

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129366

L. Fusi , A. Giovinetto , K.R. Rajagopal

{"title":"Unsteady one dimensional motions of a new class of seemingly viscoplastic materials","authors":"L. Fusi , A. Giovinetto , K.R. Rajagopal","doi":"10.1016/j.amc.2025.129366","DOIUrl":"10.1016/j.amc.2025.129366","url":null,"abstract":"<div><div>In this note we study the unsteady rectilinear flow of a fluid whose constitutive equation mimics that of a viscoplastic material. The constitutive relation is non-linear and is such that the stress cannot exceed a certain limit (limit stress fluid). The mathematical problem consists of the mass balance and the linear momentum equations as well as the initial and boundary conditions. We assume that the flow is driven by a horizontal pressure gradient and the movement of the top plate. After rescaling the system, we determine an explicit expression for the solution to the steady-state problem and prove that this solution exists and is unique within a limited range of the model's material parameters. We solve the transient problem (start-up, variation of the Stokes' first problem) using the finite element method and validate the numerical scheme by comparing the numerical and analytical solution. We perform some numerical simulations and show the behavior of the velocity and the stress for different values of the physical parameters. We also consider the case where the top plate oscillates at a given frequency (variation of the Stokes' second problem).</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"497 ","pages":"Article 129366"},"PeriodicalIF":3.5,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcations analysis of a 3D Filippov pest-natural enemy system with stage structure for the prey

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129356

Yuxun Zhu , Wenjie Zuo , Jinchen Ji , Zhengdi Zhang

{"title":"Bifurcations analysis of a 3D Filippov pest-natural enemy system with stage structure for the prey","authors":"Yuxun Zhu , Wenjie Zuo , Jinchen Ji , Zhengdi Zhang","doi":"10.1016/j.amc.2025.129356","DOIUrl":"10.1016/j.amc.2025.129356","url":null,"abstract":"<div><div>Pest control is an important application of the Filippov system in ecology and has attracted much attention. Many studies on Filippov pest-natural enemy systems have been done by employing the widely recognized Integrated Pest Management (IPM) strategy. However, those studies primarily focused on planar Filippov models without considering the stage structure of populations. It is well-known that almost all species have a life cycle from immature to mature. Thus, in this paper, we propose a three-dimensional (3D) Filippov system that takes into account the stage structure of the pest population. The weighted sum of two-stage pest populations is set as the control index. Since the discontinuity boundary changes from line to plane, new analytical techniques are developed to investigate the complex dynamics. In particular, abundant sliding bifurcations are detected, especially an enigmatic global bifurcation. This intriguing global bifurcation mechanism may overturn traditional bifurcation analyses, indicating the necessity for further investigations into the dynamical behavior of Filippov systems. Moreover, our results make a strong case for the critical importance of the economic threshold in the IPM strategy. Pest control is found not always effective simply by acting sooner; setting the threshold value too low would cause control failure while setting it too high would invalidate the strategy itself. Detailed biological implications are discussed in the conclusion.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"497 ","pages":"Article 129356"},"PeriodicalIF":3.5,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454531","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

On controllability of fractional-order impulsive and switching systems with time delay

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129357

Jiayuan Yan , Bin Hu , Zhi-Hong Guan , Ding-Xue Zhang

引用次数: 0

Evolutionary games for cooperation in open data management

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-19 DOI: 10.1016/j.amc.2025.129364

Tina P. Benko , Bin Pi , Qin Li , Minyu Feng , Matjaž Perc , Helena Blažun Vošner

{"title":"Evolutionary games for cooperation in open data management","authors":"Tina P. Benko , Bin Pi , Qin Li , Minyu Feng , Matjaž Perc , Helena Blažun Vošner","doi":"10.1016/j.amc.2025.129364","DOIUrl":"10.1016/j.amc.2025.129364","url":null,"abstract":"<div><div>In the era of big data, open data has become a critical factor in production. To establish a stable and long-term open data management mechanism, we investigate the evolution of cooperative behaviors in open data management based on networked evolutionary games, where complex networks are used to model the interaction structure between open data managers and game theory is employed to illustrate the social dilemmas faced by these managers. In addition, we account for the dynamic nature of social dilemmas in the interactions between managers, recognizing that the dilemmas they encounter are not static but rather evolve over time. To model this, we use different game models to represent various social dilemmas and propose social dilemma transitions to capture the evolving dilemmas faced between open data managers. In our simulations, we explore how payoff parameters and transition rates influence the emergence and sustainability of cooperation across different population structures, finding that both factors play a significant role in the evolution of cooperation. Furthermore, the cooperative evolution dynamics is analyzed on a square lattice network with periodic boundaries from a microscopic perspective. We also study the influence of different patterns of social dilemma transition on the evolution of cooperation. The findings presented in this paper may offer valuable insights for open data managers, helping them make informed decisions, and fostering the evolution of cooperation within open data management systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129364"},"PeriodicalIF":3.5,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445052","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

Convergence of mass transfer particle tracking schemes for the simulation of advection-diffusion-reaction equations

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-18 DOI: 10.1016/j.amc.2025.129358

Stephen Pankavich , Lucas Schauer , Michael J. Schmidt , Nicholas B. Engdahl , Diogo Bolster , David A. Benson

{"title":"Convergence of mass transfer particle tracking schemes for the simulation of advection-diffusion-reaction equations","authors":"Stephen Pankavich , Lucas Schauer , Michael J. Schmidt , Nicholas B. Engdahl , Diogo Bolster , David A. Benson","doi":"10.1016/j.amc.2025.129358","DOIUrl":"10.1016/j.amc.2025.129358","url":null,"abstract":"<div><div>Since their introduction <span><span>[1]</span></span>, <span><span>[2]</span></span>, multi-species mass-transfer particle tracking (or MTPT) algorithms have been used to accurately simulate advective and dispersive transport of solutes, even within systems that feature nonlinear chemical reactions. The MTPT methods were originally derived from a probabilistic or first-principles perspective and have previously lacked a more rigorous derivation arising directly from the underlying advection-diffusion-reaction equation (ADRE). Herein, we provide a fully rigorous derivation of the MTPT method as a Lagrangian approximation of solutions to the ADRE, complete with a description of the error and order of accuracy generated by this approximation. Numerical simulations further detail the fidelity of MTPT methods and display parameter regimes wherein the numerical error is independent of the chosen time step, and thereby dependent only upon the numerical discretization of the spatial domain via the number of particles within a simulation. Finally, different normalizations of the local Green's function are shown to generate similar approximations of the underlying solution for stationary particles.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129358"},"PeriodicalIF":3.5,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Traditional Chinese medicine studies for AD based on Logistic Matrix Factorization and Similarity Network Fusion

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-17 DOI: 10.1016/j.amc.2025.129346

Rui Ding , Shujuan Cao , Binying Cai , Yongming Zou , Fang-xiang Wu

{"title":"Traditional Chinese medicine studies for AD based on Logistic Matrix Factorization and Similarity Network Fusion","authors":"Rui Ding , Shujuan Cao , Binying Cai , Yongming Zou , Fang-xiang Wu","doi":"10.1016/j.amc.2025.129346","DOIUrl":"10.1016/j.amc.2025.129346","url":null,"abstract":"<div><div>Alzheimer's disease (AD) is a neurological disorder with complicated pathogenesis. The approved AD drugs cannot block or reverse the pathologic progression of AD. In this study, a method based on Logistic Matrix Factorization and Similarity Network Fusion (MLMFSNF) is proposed for screening out the Traditional Chinese medicines (TCMs) and active ingredients targeting AD targets. Firstly, TCMs for AD are obtained from the AD drug reviews, the active ingredients and related targets are collected from various databases. Secondly, the similarity networks are constructed by an improved Gaussian interaction profile kernel and other metrics for active ingredients and targets. The synthesized similarity networks are integrated based on similarity network fusion (SNF). The filling of missing activity ingredient-target associations is achieved by the logistic matrix factorization. Finally, the association scores between active ingredients and targets are calculated and ranked. We screen out TCMs for AD by the logistic function transformation. The results demonstrated that the MLMFSNF algorithm is effective for association prediction.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129346"},"PeriodicalIF":3.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428215","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

Computation of resistance distances and Kirchhoff indices for two classes of graphs

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-17 DOI: 10.1016/j.amc.2025.129354

Yaxin Jiang, Yujun Yang

{"title":"Computation of resistance distances and Kirchhoff indices for two classes of graphs","authors":"Yaxin Jiang, Yujun Yang","doi":"10.1016/j.amc.2025.129354","DOIUrl":"10.1016/j.amc.2025.129354","url":null,"abstract":"<div><div>For any two vertices <em>u</em> and <em>v</em> of a connected graph <em>G</em>, the resistance distance between <em>u</em> and <em>v</em> is defined as the effective resistance between them in the corresponding electrical network created by placing a unit resistor on each edge of <em>G</em>. The Kirchhoff index of <em>G</em> is defined as the sum of resistance distances between all pairs of vertices in <em>G</em>. Let <span><math><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup></math></span> be the graph obtained from the complete graph <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow></msub></math></span> by deleting an edge. In this paper, we consider two classes of graphs formed by <span><math><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup></math></span>, namely the string graph of <span><math><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup></math></span> and the ring graph of <span><math><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup></math></span>, which are denoted by <span><math><mi>S</mi><mo>(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup><mo>,</mo><mi>n</mi><mo>)</mo></math></span> and <span><math><mi>R</mi><mo>(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup><mo>,</mo><mi>n</mi><mo>)</mo></math></span>, respectively. By using combinatorial and electrical network approaches, we obtain the formulae for resistance distances and Kirchhoff indices of <span><math><mi>S</mi><mo>(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup><mo>,</mo><mi>n</mi><mo>)</mo></math></span> and <span><math><mi>R</mi><mo>(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>r</mi></mrow><mrow><mo>−</mo></mrow></msubsup><mo>,</mo><mi>n</mi><mo>)</mo></math></span>, which generalizes the results by Sardar et al. (2024) <span><span>[25]</span></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129354"},"PeriodicalIF":3.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428216","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

An α-robust two-grid finite element method with nonuniform L2-1σ scheme for the semilinear Caputo-Hadamard time-fractional diffusion equations involving initial singularity

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-14 DOI: 10.1016/j.amc.2025.129355

Yunhua Zeng , Zhijun Tan

{"title":"An α-robust two-grid finite element method with nonuniform L2-1σ scheme for the semilinear Caputo-Hadamard time-fractional diffusion equations involving initial singularity","authors":"Yunhua Zeng , Zhijun Tan","doi":"10.1016/j.amc.2025.129355","DOIUrl":"10.1016/j.amc.2025.129355","url":null,"abstract":"<div><div>Considering the initial singularity, a fully discrete two-grid finite element method (FEM) on nonuniform temporal meshes is constructed for the semilinear time-fractional variable coefficient diffusion equations (TF-VCDEs) with Caputo-Hadamard derivative. The nonuniform L<span><math><msub><mrow></mrow><mrow><mi>log</mi><mo>⁡</mo><mo>,</mo><mn>2</mn><mo>−</mo><msub><mrow><mn>1</mn></mrow><mrow><mi>σ</mi></mrow></msub></mrow></msub></math></span> formula and two-grid method are employed to discretize the time and space directions, respectively. Through strict theoretical proof, the <em>α</em>-robust stability and optimal <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm and <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm error analysis for the fully discrete FEM and the two-grid method are obtained, where the error bound does not blow up as <span><math><mi>α</mi><mo>→</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>−</mo></mrow></msup></math></span>. To reduce computational costs, a fast two-grid method is constructed by approximating the kernel function with an effective sum-of-exponentials (SOE) technique. Finally, the accuracy and effectiveness of the two-grid method and its associated fast algorithm are verified through two numerical examples.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129355"},"PeriodicalIF":3.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418580","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

Two high-order compact finite difference schemes for solving the nonlinear generalized Benjamin-Bona-Mahony-Burgers equation

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-14 DOI: 10.1016/j.amc.2025.129360

Shengdi Wang, Tingfu Ma, Lili Wu, Xiaojia Yang

引用次数: 0

Aspects on the optimal decoupling point setting problem

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-02-14 DOI: 10.1016/j.amc.2025.129343

Herbert Jodlbauer , Matthias Dehmer , Frank Emmert-Streib

{"title":"Aspects on the optimal decoupling point setting problem","authors":"Herbert Jodlbauer , Matthias Dehmer , Frank Emmert-Streib","doi":"10.1016/j.amc.2025.129343","DOIUrl":"10.1016/j.amc.2025.129343","url":null,"abstract":"<div><div>Demand-Driven Material Requirement Planning (DDMRP) represents a combination of traditional Material Requirements Planning (MRP) and the reorder point method. A key consideration in DDMRP revolves around determining the optimal position of decoupling points, also referred to as strategic inventory positions. This article addresses the question of where these decoupling points should be strategically positioned, utilizing a directed universal graph derived from the Bill of Materials (BOM) to formalize the optimal decoupling point setting problem. To address this challenge, analytical formulas are developed. The analytical formulas utilize parameters such as delivery time, demand variance, replenishment time, lot sizes, holding costs, and service levels. These formulas provide insights into key characteristics of optimal decoupling points. The obtained results can be categorized into arguments advocating for decoupling points to be positioned either more upstream or more downstream. Furthermore, we derive specific characteristics that an optimal decoupling point position should possess. This research contributes valuable knowledge for practitioners seeking to enhance the efficiency and effectiveness of their DDMRP implementation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"496 ","pages":"Article 129343"},"PeriodicalIF":3.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0