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First optimal vectorial eighth-order iterative scheme for solving non-linear systems
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-12 DOI: 10.1016/j.amc.2025.129401
Alicia Cordero, Juan R. Torregrosa, Paula Triguero-Navarro
{"title":"First optimal vectorial eighth-order iterative scheme for solving non-linear systems","authors":"Alicia Cordero,&nbsp;Juan R. Torregrosa,&nbsp;Paula Triguero-Navarro","doi":"10.1016/j.amc.2025.129401","DOIUrl":"10.1016/j.amc.2025.129401","url":null,"abstract":"<div><div>We introduce a novel iterative method achieving eighth-order convergence, establishing its optimality for solving non-linear systems. A rigorous analysis of convergence order is presented, complemented by investigations into both efficiency indices and the complex dynamics of the proposed method. To assess its performance, extensive numerical experiments are conducted, facilitating comparative analysis with established methods from the literature.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129401"},"PeriodicalIF":3.5,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601643","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
Cubic s-arc-transitive bi-Cayley graphs
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129400
Ran Ju , Jing Jian Li , Yang Gao
{"title":"Cubic s-arc-transitive bi-Cayley graphs","authors":"Ran Ju ,&nbsp;Jing Jian Li ,&nbsp;Yang Gao","doi":"10.1016/j.amc.2025.129400","DOIUrl":"10.1016/j.amc.2025.129400","url":null,"abstract":"<div><div>A bipartite graph Γ is a bi-Cayley graph over a group <em>H</em> if <span><math><mi>H</mi><mo>⩽</mo><mrow><mi>Aut</mi></mrow><mi>Γ</mi></math></span> acts regularly on each part of Γ. A bi-Cayley graph Γ over a group <em>H</em> is said to be core-free if <em>H</em> is core-free in the bipartition-preserving subgroup of <em>X</em> for <span><math><mi>X</mi><mo>⩽</mo><mrow><mi>Aut</mi></mrow><mi>Γ</mi></math></span>. In this paper, a classification is given for cubic core-free <em>s</em>-arc-transitive bi-Cayley graphs.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129400"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577688","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
Unconditionally stable sixth-order structure-preserving scheme for the nonlinear Schrödinger equation with wave operator
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129392
Shuaikang Wang , Yongbin Ge , Sheng-en Liu
{"title":"Unconditionally stable sixth-order structure-preserving scheme for the nonlinear Schrödinger equation with wave operator","authors":"Shuaikang Wang ,&nbsp;Yongbin Ge ,&nbsp;Sheng-en Liu","doi":"10.1016/j.amc.2025.129392","DOIUrl":"10.1016/j.amc.2025.129392","url":null,"abstract":"<div><div>A structure-preserving two-level numerical method with sixth-order in both time and space is proposed for solving the nonlinear Schrödinger equation with wave operator. By introducing auxiliary variables to transform the original equation into a system, structure-preserving high-order difference scheme is obtained by applying the Crank-Nicolson method and the sixth-order difference operators for discretizing time and space derivatives. Subsequently, the conservation laws of energy and mass for the discretized solution produced by the established scheme are rigorously proven. And a theoretical analysis shows that the scheme is unconditionally convergent and stable in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm. Additionally, a corresponding fast solving algorithm is designed for the established scheme. And the Richardson extrapolation technique is used to enhance the temporal accuracy to sixth order. Finally, the effectiveness of the numerical scheme and the theoretical results of this study are validated through numerical experiments. The results also fully demonstrate the efficiency of the novel scheme in numerical computations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129392"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593618","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
Hybridizable discontinuous Galerkin method for nonlinear hyperbolic integro-differential equations
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129393
Riya Jain , Sangita Yadav
{"title":"Hybridizable discontinuous Galerkin method for nonlinear hyperbolic integro-differential equations","authors":"Riya Jain ,&nbsp;Sangita Yadav","doi":"10.1016/j.amc.2025.129393","DOIUrl":"10.1016/j.amc.2025.129393","url":null,"abstract":"<div><div>In this paper, we present the hybridizable discontinuous Galerkin (HDG) method for a nonlinear hyperbolic integro-differential equation. We discuss the semi-discrete and fully-discrete error analysis of the method. For the semi-discrete error analysis, an extended type mixed Ritz-Volterra projection is introduced for the model problem. It helps to achieve the optimal order of convergence for the unknown scalar variable and its gradient. Further, a local post-processing is performed, which helps to achieve super-convergence. Subsequently, by employing the central difference scheme in the temporal direction and applying the mid-point rule for discretizing the integral term, a fully discrete scheme is formulated, accompanied by its corresponding error estimates. Ultimately, through the examination of numerical examples within two-dimensional domains, computational findings are acquired, thus validating the results of our study.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129393"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593620","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 and stability in mean square of the stochastic θ-methods for systems of NSDDEs under a coupled monotonicity condition
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129395
Mengyao Niu, Yuanling Niu, Jiaxin Wei
{"title":"Convergence and stability in mean square of the stochastic θ-methods for systems of NSDDEs under a coupled monotonicity condition","authors":"Mengyao Niu,&nbsp;Yuanling Niu,&nbsp;Jiaxin Wei","doi":"10.1016/j.amc.2025.129395","DOIUrl":"10.1016/j.amc.2025.129395","url":null,"abstract":"<div><div>Our research is devoted to investigating the convergence and stability in mean square of the stochastic <em>θ</em>-methods applied to neutral stochastic differential delay equations (NSDDEs) with super-linearly growing coefficients. Under a coupled monotonicity condition, we show that the numerical approximations of the stochastic <em>θ</em>-methods with <span><math><mi>θ</mi><mo>∈</mo><mo>[</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>,</mo><mn>1</mn><mo>]</mo></math></span> converge to the exact solution of NSDDEs strongly with order <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span>. Moreover, it is shown that the stochastic <em>θ</em>-methods are capable of preserving the stability of the exact solution of original equations for any given stepsize <span><math><mi>h</mi><mo>&gt;</mo><mn>0</mn></math></span>. Finally, several numerical examples are presented to illustrate the theoretical findings.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129395"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593619","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
Observer-based dynamic event-triggered second-level MPC for nonlinear time-delay CPSs under joint hybrid attacks
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-06 DOI: 10.1016/j.amc.2025.129391
Hongchao Song , Zhenlei Wang , Xin Wang
{"title":"Observer-based dynamic event-triggered second-level MPC for nonlinear time-delay CPSs under joint hybrid attacks","authors":"Hongchao Song ,&nbsp;Zhenlei Wang ,&nbsp;Xin Wang","doi":"10.1016/j.amc.2025.129391","DOIUrl":"10.1016/j.amc.2025.129391","url":null,"abstract":"<div><div>This study investigates observer-based dynamic event-triggered (DET) second-level model predictive control (MPC) for a specific class of nonlinear time-delay cyber-physical systems (CPSs) under hybrid attacks on the sensor-controller (S-C) channel and controller-actuator (C-A) channel. A dynamic event-triggered mechanism with adaptive bias components is developed to reduce trigger frequency, uphold system performance, and conserve communication resources. Additionally, the observer gain is determined using the nominal observation model and linear matrix inequalities. A novel model predictive control approach is devised based on the identified model to enhance system performance. Theoretical analysis demonstrates that the proposed method effectively guarantees that the closed-loop system satisfies the input-to-state practical stability criterion. Finally, a numerical simulation case study is presented to validate the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129391"},"PeriodicalIF":3.5,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550544","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
Fixed-time stability criteria and adaptive state constrained control for uncertain switched nonlinear systems
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-05 DOI: 10.1016/j.amc.2025.129345
Shuo Liu , Huaguang Zhang , Hongbo Pang
{"title":"Fixed-time stability criteria and adaptive state constrained control for uncertain switched nonlinear systems","authors":"Shuo Liu ,&nbsp;Huaguang Zhang ,&nbsp;Hongbo Pang","doi":"10.1016/j.amc.2025.129345","DOIUrl":"10.1016/j.amc.2025.129345","url":null,"abstract":"<div><div>This paper investigates adaptive fixed-time state constrained tracking control problem for uncertain switched nonlinear systems, even if the fixed-time tracking control problem for each subsystem is not solvable. Based on the given fixed-time stability conditions, fixed-time stability criterion is established for switched nonlinear systems by developing a new multiple Lyapunov functions method. Then, by combining the fixed-time stability criterion with multiple integral barrier Lyapunov functions, the fuzzy adaptive controllers and a switching law dependent on states are designed constructively to solve the constrained fixed-time tracking control problem: 1) the boundedness of all the signals of the resulting closed-loop system is verified; 2) the system output can follow a given reference signal into an arbitrarily small compact set; 3) all the system states satisfy with their constraint condition. Finally, two examples are presented to verify the effectiveness of the obtained results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129345"},"PeriodicalIF":3.5,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550542","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
Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-05 DOI: 10.1016/j.amc.2025.129394
Pei-Zhen Xia, Xiao-Heng Chang
{"title":"Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach","authors":"Pei-Zhen Xia,&nbsp;Xiao-Heng Chang","doi":"10.1016/j.amc.2025.129394","DOIUrl":"10.1016/j.amc.2025.129394","url":null,"abstract":"<div><div>In this article, the problem of observer-based security control for interval type-2 nonlinear networked systems with stochastic communication protocol (SCP) and denial-of-service (DoS) attacks is investigated. To begin with, considering the limited network bandwidth, a novel SCP is proposed to avoid data conflicts in information transmission. In particular, compared with the existing SCP, the SCP constructed in this article is scheduled by semi-Markov kernel, and the probability density function of its sojourn-time is assured by both the current mode and the next mode. Then, considering the influence of SCP and DoS attacks, the cooperative design conditions of observer-based security controller based on mode-dependent and fuzzy-dependent are given. Furthermore, a mode-dependent and sojourn-time-dependent Lyapunov function is adopted, and a sufficient condition for the mean square exponential stability of the closed-loop system is ensured. Finally, the feasibility of the method is verified by a mechanical motion model.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129394"},"PeriodicalIF":3.5,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550543","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
Explicit solutions and finite-time stability for fractional delay systems
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-01 DOI: 10.1016/j.amc.2025.129388
Ahmed M. Elshenhab , Xing Tao Wang , Mohamed Hosny
{"title":"Explicit solutions and finite-time stability for fractional delay systems","authors":"Ahmed M. Elshenhab ,&nbsp;Xing Tao Wang ,&nbsp;Mohamed Hosny","doi":"10.1016/j.amc.2025.129388","DOIUrl":"10.1016/j.amc.2025.129388","url":null,"abstract":"<div><div>Finite-time stability and explicit solutions are considered for nonhomogeneous fractional systems with pure delay. First, explicit solutions are obtained by using new delayed Mittag-Leffler-type matrix functions. Second, the finite-time stability results are obtained by utilizing these explicit solutions and the norm estimate of these delayed Mittag-Leffler-type matrix functions. The results improve, extend, and complement the previous works. Finally, an example is provided to illustrate the importance of the results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129388"},"PeriodicalIF":3.5,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527311","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
Construction of solutions of the Riemann problem for a two-dimensional Keyfitz-Kranzer type model governing a thin film flow 二维 Keyfitz-Kranzer 型薄膜流模型黎曼问题解的构建
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129378
Anamika Pandey , Rahul Barthwal , T. Raja Sekhar
{"title":"Construction of solutions of the Riemann problem for a two-dimensional Keyfitz-Kranzer type model governing a thin film flow","authors":"Anamika Pandey ,&nbsp;Rahul Barthwal ,&nbsp;T. Raja Sekhar","doi":"10.1016/j.amc.2025.129378","DOIUrl":"10.1016/j.amc.2025.129378","url":null,"abstract":"<div><div>This article is concerned with constructing solutions involving nonlinear waves to a three-constant two-dimensional Riemann problem for a reduced hyperbolic model describing a thin film flow of a perfectly soluble anti-surfactant solution. Here, we solve the Riemann problem without the limitation that each jump of the initial data emanates exactly one planar elementary wave. We obtain ten topologically distinct solutions using the generalized characteristic analysis. Our analysis explores the intricate interaction between classical and non-classical waves. Furthermore, in order to validate our solutions we thoroughly compare the obtained analytical solutions with numerical results through the second-order Local Lax Friedrichs scheme which is implemented in numerical simulation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129378"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526705","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
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