Mathematics and Computers in Simulation最新文献

{"title":"Contagious popular stories, stock market participation, and boom–bust cycles","authors":"Sarah Mignot,&nbsp;Frank Westerhoff","doi":"10.1016/j.matcom.2025.03.014","DOIUrl":"10.1016/j.matcom.2025.03.014","url":null,"abstract":"<div><div>We study a model in which investors’ stock market participation hinges on contagious popular stories. Two opposing narratives exist that either advocate investing in the stock market or abstaining from it. Investors’ adherence to these narratives depends on the current behavior of the stock market and the social interactions among investors. For instance, stories that advocate investing in the stock market appear more plausible to investors during boom periods and when such behavior is common among peers. We identify different constellations in which waves of market entry and exit, driven by contagious popular stories, create boom–bust stock market dynamics.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 459-471"},"PeriodicalIF":4.4,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697558","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}

{"title":"Numerical simulation of wave flow : Integrating the BBM-KdV equation using compact difference schemes","authors":"Apipoom Polwang ,&nbsp;Kanyuta Poochinapan ,&nbsp;Ben Wongsaijai","doi":"10.1016/j.matcom.2025.03.012","DOIUrl":"10.1016/j.matcom.2025.03.012","url":null,"abstract":"<div><div>The nonlinear convection term <span><math><mrow><mi>u</mi><msub><mrow><mi>u</mi></mrow><mrow><mi>x</mi></mrow></msub></mrow></math></span> plays a critical role in scientific and engineering contexts, capturing the complex interaction between a function and its spatial derivative. In numerical analysis, this term significantly impacts the stability of computational methods and requires careful treatment for accurate solutions. This study presents efficient, high-order linear numerical schemes for solving the Benjamin–Bona–Mahony-KdV equation, incorporating three strategies to approximate the nonlinear term while preserving mass and/or energy. The effectiveness and precision of the proposed methods are demonstrated through rigorous testing in comprehensive numerical experiments, providing clear insight into their performance. Our observations show that these schemes preserve conservative properties while offering improved accuracy and stability compared to the standard second-order scheme. These findings underscore the potential to advance numerical methods for differential equations and provide strong evidence for the effectiveness of the proposed high-order approach in accurately modeling complex wave behavior.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 70-89"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824298","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":"A novel image gravity transform based on least significant bit in image steganography","authors":"Mehdi Nikpour,&nbsp;Mohammad Taghi Kheirabadi,&nbsp;Ali Nodehi","doi":"10.1016/j.matcom.2025.03.010","DOIUrl":"10.1016/j.matcom.2025.03.010","url":null,"abstract":"<div><div>Information transmission technology has been developing rapidly in recent years, and high-quality and safe information transmission is one of the major challenges in today’s world. Steganography is a safe data transmission technique in which the data is embedded and hidden in a media content before sending it to the network. Text-in-image steganography is one of the important types of steganography that has various applications such as military, research and data mining. <!--> <!-->Designing an algorithm with high security and accurate retrieval of hidden data is one of the main challenges in text-in-image steganography. Hence, In this paper, a new efficient text-in-image steganography algorithm is proposed to enhance the security of hidden data and accuracy of data retrieval. This algorithm is composed of two components including data hiding and data retrieval. In the first component, the original data is hidden in the original Image and generate the stegano image. To this end, the algorithm of “finding the best non-uniform locations” (FBNL) is introduced. in addition the original text is encrypted by IGT algorithm. After that, the encrypted text is hidden in the best non-uniform location of image that founded by FBNL. The second component is executed when the original data is needed. in the start of this component, the FBNL algorithm runs and find the best non-uniform location and the inverse IGT (IIGT) algorithm uses this locations and recovers the original data. For evaluation, several datasets is employed for images including Cifar, Mnist, Pascal and LFW. In addition, the text data is retrieved from UCI dataset. The evaluation results show that the proposed algorithm has an improvement between 4.6 and 58.4 percent in terms of quality, error, security and time compared to other investigated algorithms in different scenarios.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 396-418"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685632","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":"An innovative methodology in scrutinizing the nonlinear instability of two immiscible MHD viscoelastic liquids","authors":"Galal M. Moatimid,&nbsp;Yasmeen M. Mohamed","doi":"10.1016/j.matcom.2025.03.017","DOIUrl":"10.1016/j.matcom.2025.03.017","url":null,"abstract":"<div><div>This study examines the nonlinear stability of two distinct viscoelastic magneto-rheological planner fluids that are immersed in porous media. The lower zone is filled with the Reiner-Rivlin fluid (RRF); meanwhile, the upper one is occupied by the Eyring-Powell fluid (EPF). An unchanged magnetic field (MF) is applied to the whole structure, and the effects of surface tension (ST) and mass and heat transfer (MHT) are also documented. This approach offers insights into stability thresholds and flow dynamics crucial for applications in energy systems, medicinal devices, and industrial processes that involve multi-layered magneto-rheological fluids in porous settings. One use of these fluids is the real-time adjustment of damping qualities in adaptive vehicle suspension systems. Improvements in vehicle dynamic performance, comfort, and safety are directly impacted by this research. The calculations are shortened by making use of viscous potential theory (VPT). Therefore, the viscoelastic influences are considered in order to show how the nonlinear boundary conditions (BCs) produce their contributions. Consequently, the impacts of the viscoelasticity parameters are removed from the solution of the equations of motion. Merging the fundamental linear hydrodynamic equations with Maxwell's equations over the quasi-static approximations, the boundary-value problem is raised. A popular nonlinear ordinary differential equation (ODE) can be transformed into a linear via the He’s frequency formula (HFF), which forms the basis of the non-perturbative approach (NPA). The non-dimensional analysis reveals a set of physical dimensionless numerals. Additionally, they help to reduce the amount of variables that are needed to comprehend the framework. The stability constraints are numerically tested in the complex scenario, and the stability mechanism remains consistent for both real and imaginary coefficients within the nonlinear characteristic equation governing interface displacement. Polar plots of unstable solutions are omitted, since these solutions are not desired.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 472-496"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726019","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":"Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally","authors":"Md. Mamun Molla,&nbsp;Md. Mahadul Islam","doi":"10.1016/j.matcom.2025.03.015","DOIUrl":"10.1016/j.matcom.2025.03.015","url":null,"abstract":"<div><div>Graphics Processing Unit (GPU) accelerated multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is used for the simulation of Herschel–Bulkley non-Newtonian fluids in a three-dimensional (3D) cubic cavity with the top lid-driven diagonally. For the 3D simulation, a D3Q27 lattices model, which is more stable and well-accepted in the LBM community, is used in the present MRT-LBM. Simulations using numerical models are run for a variety of dimensionless variables, including the Reynolds numbers (<span><math><mrow><mi>R</mi><mi>e</mi><mo>=</mo><mn>300</mn><mo>,</mo><mn>600</mn><mo>,</mo><mn>1000</mn><mo>,</mo><mn>1200</mn></mrow></math></span>), Bingham number (<span><math><mrow><mi>B</mi><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>.</mo><mn>0</mn></mrow></math></span>), Power-law index, (<span><math><mrow><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn></mrow></math></span>). In the present numerical simulation, the GPU has used a parallel computing technique based on the Compute Unified Device Architecture (CUDA) C++ programming. MRT-LBM code is validated for the Newtonian and non-Newtonian power law fluid with a lid-driven cubic cavity. The numerical results obtained regarding the streamlines, velocity, viscosity distributions, and the iso-surfaces of the non-Newtonian viscosity are presented. The current numerical findings could potentially function as benchmark results for validating 3D codes validation for the non-Newtonian fluids.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 419-437"},"PeriodicalIF":4.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685635","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":"Dynamical behavior and bifurcation analysis for a theoretical model of dengue fever transmission with incubation period and delayed recovery","authors":"Burcu Gürbüz ,&nbsp;Aytül Gökçe ,&nbsp;Segun I. Oke ,&nbsp;Michael O. Adeniyi ,&nbsp;Mayowa M. Ojo","doi":"10.1016/j.matcom.2025.03.008","DOIUrl":"10.1016/j.matcom.2025.03.008","url":null,"abstract":"<div><div>As offered by the World Health Organisation (WHO), close to half of the population in the world’s resides in dengue-risk zones. Dengue viruses are transmitted to individuals by Aedes mosquito species infected bite (Ae. Albopictus of Ae. aegypti). These mosquitoes can transmit other viruses, including Zika and Chikungunya. In this research, a mathematical model is formulated to reflect different time delays considered in both extrinsic and intrinsic incubation periods, as well as in the recovery periods of infectious individuals. Preliminary results for the non-delayed model including positivity and boundedness of solutions, non-dimensionalization and equalibria analysis are presented. The threshold parameter (reproduction number) of the model is obtained via next generation matrix schemes. The stability analysis of the model revealed that various dynamical behavior can be observed depending on delay parameters, where in particular the effect of delay in the recovery time of infectious individuals may lead to substantial changes in the dynamics. The ideas presented in this paper can be applied to other infectious diseases, providing qualitative evaluations for understanding time delays influencing the transmission dynamics.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 497-513"},"PeriodicalIF":4.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739609","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}

{"title":"Global dynamics of a chemotaxis system with toxicity in invasive species","authors":"Xiaoyue Yuan ,&nbsp;Xuebing Zhang ,&nbsp;Wenjun Liu ,&nbsp;Ali Moussaoui ,&nbsp;Pierre Auger","doi":"10.1016/j.matcom.2025.03.009","DOIUrl":"10.1016/j.matcom.2025.03.009","url":null,"abstract":"<div><div>Invasive species threaten the integrity of ecosystems by altering the structure and function of natural systems. It is crucial to predict the mode of biological invasion and control intruders. In this paper, we establish a diffusion biological invasion model with toxicant-taxis and conduct research through theoretical analysis and numerical simulation methods. We investigate the local stability of the system and find that it undergoes saddle–node bifurcation and transcritical bifurcation. We further prove the boundedness and global existence of the classical solutions of the system. By constructing appropriate Lyapunov functionals, the global stability of the positive steady state is analyzed, and the decay rate of the solution is provided. In addition, to investigate the effects of toxins and competition intensity on the survival of invasive species, we demonstrate the existence conditions of steady-state solutions through numerical simulations. By comparison, it is found that invasive species can only survive in new environments if they possess at least one advantage.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 16-36"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143734913","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":"Nonsingularity of unsymmetric Kansa matrices: Random collocation by MultiQuadrics and Inverse MultiQuadrics","authors":"R. Cavoretto ,&nbsp;A. De Rossi ,&nbsp;F. Dell’Accio ,&nbsp;A. Sommariva ,&nbsp;M. Vianello","doi":"10.1016/j.matcom.2025.03.005","DOIUrl":"10.1016/j.matcom.2025.03.005","url":null,"abstract":"<div><div>Unisolvence of unsymmetric Kansa collocation is still a substantially open problem. We prove that Kansa matrices with MultiQuadrics and Inverse MultiQuadrics for the Dirichlet problem of the Poisson equation are almost surely nonsingular, when the collocation points are chosen by any continuous random distribution in the domain interior and arbitrarily on its boundary.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 390-395"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685633","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}

{"title":"A family of C1 Clough–Tocher spline spaces on C0 piecewise quadratic domain partitions","authors":"Jan Grošelj,&nbsp;Marjeta Knez","doi":"10.1016/j.matcom.2025.03.006","DOIUrl":"10.1016/j.matcom.2025.03.006","url":null,"abstract":"<div><div>The paper addresses the construction of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> splines on a curved domain that is parametrized by a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span> piecewise geometry mapping composed of quadratic Bézier triangles. The <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> splines are assembled from polynomials of a chosen total degree greater than or equal to four, and their construction is based on the Clough–Tocher splitting technique that ensures locality. In particular, the splines are locally characterized by an interpolation problem described by Hermite data, which resembles the standard macro-element concepts developed for <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> splines on triangulations.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 368-389"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685114","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}

{"title":"Stability and bifurcation analysis of a time-order fractional model for water-plants: Implications for vegetation pattern formation","authors":"Shanwei Li,&nbsp;Yimamu Maimaiti","doi":"10.1016/j.matcom.2025.03.007","DOIUrl":"10.1016/j.matcom.2025.03.007","url":null,"abstract":"<div><div>The water-plant model is a significant tool for studying vegetation patterns. It helps researchers understand the interactions between water availability and plant growth, which are crucial for analyzing ecological dynamics and predicting changes in vegetation due to environmental factors. However, there has been limited research on the memory effect associated with the water-plant model. This paper investigates a fractional-order water-plant model with cross-diffusion, in which the fractional order signifies the memory effect. First, we examine the conditions for the equilibrium point in a spatially homogeneous model, followed by an analysis of the model’s linear stability and the existence of Hopf bifurcation. Subsequently, we analyze the stability of spatiotemporal models incorporating cross-diffusion, along with the presence of Turing bifurcation, Hopf bifurcation, and Turing–Hopf bifurcation. Finally, we present several numerical simulations to validate the theoretical results. The results indicate that the Hopf bifurcation parameters increase with the fractional order <span><math><mi>τ</mi></math></span>, leading to a larger parameter space for Hopf instability. As the fractional order <span><math><mi>τ</mi></math></span> increases, it results in a smaller parameter space for Turing instability and a reduced parameter space for stability. This indicates that an increase in the fractional order <span><math><mi>τ</mi></math></span> accelerates the transition of vegetation patterns, thereby affecting the stability of the system.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 342-358"},"PeriodicalIF":4.4,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143654553","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}