{"title":"Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity","authors":"Frederick Maes , Karel Van Bockstal","doi":"10.1016/j.matcom.2025.04.004","DOIUrl":"10.1016/j.matcom.2025.04.004","url":null,"abstract":"<div><div>This paper investigates the inverse problems of determining a space-dependent source for thermoelastic systems of type-III under adequate time-averaged or final-in-time measurements and conditions on the time-dependent part of the sought source. Several numerical methods are proposed and examined, including a Landweber scheme and minimisation methods for the corresponding cost functionals, which are based on the gradient and conjugate gradient method. A shortcoming of these methods is that the values of the sought source are fixed ab initio and remain fixed during the iterations. The Sobolev gradient method is applied to overcome the possible inaccessibility of the source values at the boundary. Numerical examples are presented to discuss the different approaches and support our findings based on the implementation on the FEniCSx platform.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 426-454"},"PeriodicalIF":4.4,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882296","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":"Convergence of individual opinions during a bi-virus epidemic and its impact","authors":"Shidong Zhai , Zhenmei Zhang , Jun Ma","doi":"10.1016/j.matcom.2025.04.006","DOIUrl":"10.1016/j.matcom.2025.04.006","url":null,"abstract":"<div><div>This paper investigates the intricate interplay between individual opinions and bi-virus transmission in a city or country. The proposed model considers two competing viruses, where virus transmission is shaped by individuals’ perceptions of the epidemic, which are, in turn, influenced by the transmission dynamics. Building on the concept of an opinion-dependent reproduction number, we conduct a rigorous theoretical analysis of the proposed model, focusing on equilibrium stability and parameter sensitivity. From the analysis of simulated data, we derive the following insights: (1) Negative opinions during an epidemic, such as believing the epidemic is not severe or distrusting public health measures, may result in inaccurate community responses and potentially reignite outbreaks. (2) In the bi-virus-opinion model, while perceived epidemic severity can reduce infection rates, it does not alter the dominance of the prevailing virus under conditions of high epidemic severity. Furthermore, we examine the role of stubborn opinions to reshape public perception, which can facilitate epidemic eradication under mild epidemic conditions. In the case of dual-virus competition, stubborn opinions can alter the final competitive outcomes. Finally, numerical simulations are performed to validate the findings and corroborate them with real-world data from the SARS-CoV-2 pandemic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 334-353"},"PeriodicalIF":4.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874387","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":"Dynamic analysis of layered elastic medium by TD-BEM using the iteration technique in the whole time domain","authors":"Xiaofei Qin , Hongjun Li , Changnv Zeng","doi":"10.1016/j.matcom.2025.04.018","DOIUrl":"10.1016/j.matcom.2025.04.018","url":null,"abstract":"<div><div>An efficient time-domain boundary element method (TD-BEM) is originally proposed for dynamic analysis of layered elastic medium using the innovative iteration technique in the whole time domain. Based on the iteration technique, the layered elastic domain is divided into several TD-BEM sub-domains with constant material properties, which are computed separately across the whole time domain, without the requirement of iterative calculations and convergence judgment for each individual time step. Meanwhile, the connection between TD-BEM sub-domains is performed by enforcing the interfacial continuity of the field variables. In addition to achieving exceptional computational accuracy and efficiency, the independent spatial and temporal discretizations are allowed for each TD-BEM sub-domain in modeling the layered elastic medium to further improve the versatility and flexibility of the current TD-BEM. The excellent performance of the presented TD-BEM formulation for layered elastic medium is verified by several numerical applications.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 284-304"},"PeriodicalIF":4.4,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869490","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}
Qiang Lai , Chongkun Zhu , Minghong Qin , Zhiqiang Wan
{"title":"Complex dynamics and encryption application of a 3D dual-memristor oscillatory hyperchaotic map","authors":"Qiang Lai , Chongkun Zhu , Minghong Qin , Zhiqiang Wan","doi":"10.1016/j.matcom.2025.04.005","DOIUrl":"10.1016/j.matcom.2025.04.005","url":null,"abstract":"<div><div>Unlike high-dimensional hyperchaotic maps constructed using continuous memristors (CMs), discrete memristors (DMs) are widely favored by researchers because of their unique advantages. In view of this, a novel memristive hyperchaotic map by applying a sinusoidal transformation to one DM and paralleling it with another, while introducing the simple oscillatory term has been proposed. This map exhibits significant structural characteristics, particularly without fixed points. Numerical simulations reveal the dynamical behaviors that dependent on control parameters and the presence of infinite hidden coexisting attractors related to initial values. Furthermore, the map has been successfully applied in the design of a pseudorandom number generator (PRNG). A microcontroller-based digital hardware platform has also been developed to implement this map. Lastly, the application of the map in image encryption provides valuable insights into the use of discrete memristive maps in chaos engineering.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 270-283"},"PeriodicalIF":4.4,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864957","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}
Freddy H. Marín-Sánchez , Alejandro Pinilla Barrera , Cristhian Montoya Zambrano , Santiago Medina Hurtado
{"title":"Valuation of European call options for the Scott’s stochastic volatility model: An explicit finite difference scheme","authors":"Freddy H. Marín-Sánchez , Alejandro Pinilla Barrera , Cristhian Montoya Zambrano , Santiago Medina Hurtado","doi":"10.1016/j.matcom.2025.03.033","DOIUrl":"10.1016/j.matcom.2025.03.033","url":null,"abstract":"<div><div>This paper addresses the construction of an explicit finite difference scheme for options valuation when the underlying asset is described by the stochastic volatility model proposed by Scott (1987). A numerical analysis of the scheme is conducted to ensure positivity, monotonicity, stability, consistency, and convergence conditions. Several numerical experiments are presented for the valuation of European <em>call</em> options, and the results obtained from the explicit finite difference scheme in 2D are compared with Monte Carlo simulations in order to show the feasibility of our results.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 411-425"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879273","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":"Domain truncation error analysis for a multidimensional system of PDEs of option prices","authors":"Anindya Goswami , Kuldip Singh Patel","doi":"10.1016/j.matcom.2025.04.002","DOIUrl":"10.1016/j.matcom.2025.04.002","url":null,"abstract":"<div><div>This paper examines a multidimensional system of parabolic partial differential equations arising in European option pricing within a Markov-switching market model. To solve this numerically, the domain must be truncated, and artificial boundary conditions should be imposed. By deriving an estimate for the domain truncation error at all points in the truncated domain, we generalize existing results that address option pricing equations solely under no-switching scenarios. Unlike previous approaches, our method provides a sharper error estimate in specific regions of the domain. Combining the proposed estimate with the existing one yields a strictly improved result. Numerical examples are presented to provide a thorough comparison with the existing literature.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 354-378"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877341","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":"Global dynamics and optimal control strategies for the brucellosis model with environmental saturation infection: An assessment of severely affected provinces in China","authors":"Caihong Song , Zigen Song","doi":"10.1016/j.matcom.2025.04.008","DOIUrl":"10.1016/j.matcom.2025.04.008","url":null,"abstract":"<div><div>In this paper, we develop a multidimensional dynamic model involving the sheep population, the human population, and the brucella in the environment to explore the potential impact of key factors on brucellosis in six high-prevalence provinces in China. The transmission of environment-to-individual in this model is described in the form of saturated infections. We first determine the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> and analyze the global asymptotic stability of the disease-free and endemic equilibriums by introducing the Volterra–Lyapunov stability matrix theory into the classical Lyapunov function method. Secondly, by using actual human brucellosis data from these provinces over the past 18 years to estimate the parameter values in the model, we have determined that the current basic reproduction numbers of brucellosis in these regions are greater than 1. This implies that brucellosis will persist in these provinces under the current control efforts. Our simulation results indicate that the most effective strategy for reducing the disease burden in these provinces is to simultaneously increase the intensity of vaccination efforts and strengthen the culling of infected sheep. Utilizing Pontryagin’s maximum principle, we derive temporal outcomes for the implementation of a strategy aimed at achieving minimal costs. Furthermore, we find that, under lower cost constraints, the culling measures can be executed at maximum intensity for an extended duration while maintaining the existing vaccination schedule. These findings can provide important insights for relevant prevention and control efforts.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 379-410"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879272","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}
Ashabul Hoque , Razia Sultana , Hamidul Islam , Abdul Malek
{"title":"A modeling investigation of the disease severity driven by COVID-19-induced diabetic patients","authors":"Ashabul Hoque , Razia Sultana , Hamidul Islam , Abdul Malek","doi":"10.1016/j.matcom.2025.04.011","DOIUrl":"10.1016/j.matcom.2025.04.011","url":null,"abstract":"<div><div>In this study, we introduce a novel SEICHR compartmental model to explore the transmission dynamics of COVID-19 among diabetic and non-diabetic patients, with a particular focus on the impact of COVID-19-induced diabetes on disease progression. The well-posedness of the model and the stability of the equilibrium points are confirmed through rigorous mathematical analysis. Mathematical results are validated using numerical simulations. Sensitivity and bifurcation analyses are conducted to determine the most sensitive parameters in the proposed model. The sensitivity of the model parameters is examined using the partial rank correlation coefficients (PRCC) analysis. The results show that the disease progression rate is higher among COVID-19 infected diabetic patients than non-diabetic patients. Numerical simulations further indicate that the forward bifurcation region expands progressively with increasing rates of disease development. The role of COVID-19-induced diabetic patients in exacerbating disease severity is examined through both constant and progressive delays in hospital isolation. Notably, the progressive waiting time exerts a significantly greater impact on transmission dynamics than the constant waiting time.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 213-230"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918093","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":"Stability, bifurcation and characteristics of chaos in a new commensurate and incommensurate fractional-order ecological system","authors":"Jiayi Liu, Ruihong Li, Dongmei Huang","doi":"10.1016/j.matcom.2025.04.015","DOIUrl":"10.1016/j.matcom.2025.04.015","url":null,"abstract":"<div><div>In this paper, a new incommensurate fractional-order ecological system describing the interaction between permafrost melting, vegetation degradation and temperature is introduced to explore its dynamical behavior. At first, the existence and uniqueness of the new system is proved utilizing Picard’s operator and Banach fixed-point theorem. Next, the influence of simultaneous changing system parameter and fractional orders on the stability of the incommensurate system is discussed, and the degree of influence of each fractional order is visually compared and analyzed. In addition, it is also indicated that parameter changes can cause the static bifurcation. Subsequently, the sufficient conditions and an analytical expression for the critical value of Hopf bifurcation caused by system parameter in the incommensurate fractional-order ecological system are provided for the first time, and the bifurcation diagrams are utilized to verify the result. Furthermore, by observing the bifurcation diagram of incommensurate and corresponding commensurate system, it can be deduced that changes in the fractional orders of incommensurate system can cause Hopf bifurcation to be postponed or advanced. Then, the chaotic behaviors of commensurate and incommensurate system are explored by utilizing multiple numerical indicators. It is worth noting that there exists a path from quasi-periodic motion to chaos in the system. Finally, the chaotic domain is proposed to investigate the influence of fractional orders and parameter on chaotic behaviors in the incommensurate fractional-order system.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 248-269"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864956","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 enhanced Kepler optimization algorithm with global attraction model and dynamic neighborhood search for global optimization and engineering problems","authors":"Ziyuan Liang, Zhenlei Wang","doi":"10.1016/j.matcom.2025.04.003","DOIUrl":"10.1016/j.matcom.2025.04.003","url":null,"abstract":"<div><div>The Kepler optimization algorithm (KOA) is a recently proposed physics-based algorithm inspired by Kepler’s laws. Despite the strong competitiveness of KOA relative to established algorithms, it faces challenges such as limited search capability, premature convergence, and low convergence accuracy in solving complex optimization problems. To address these shortcomings, we propose an enhanced KOA (EKOA) that integrates a global attraction model, a dynamic neighborhood search operator, and a local update strategy with multi-elite guided differential mutation. Firstly, EKOA introduces an innovative global attraction model to facilitate information exchange among individuals, aiming to extend the search space and improve search efficiency. Secondly, a dynamic neighborhood search operator is designed to weaken the influence of the best individual on the current position updates, thereby mitigating premature convergence. Finally, a local update strategy with multi-elite guided differential mutation is developed to provide new evolutionary opportunities for individuals, ensure evolution in a more favorable direction, and prevent stagnation of the optimal solution during the optimization process. The performance of EKOA is evaluated by comparing it with 12 state-of-the-art algorithms using the CEC2017, CEC2020, and CEC2022 benchmark test suites. Experimental results and statistical analysis substantiate the superiority of EKOA. Additionally, the practical applicability of EKOA is demonstrated through four real-world engineering problems. In conclusion, EKOA not only effectively enhances the performance of the original KOA but also emerges as a powerful and promising algorithm for solving complex engineering problems.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 107-144"},"PeriodicalIF":4.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906033","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}