Journal of Computational and Applied Mathematics最新文献_第4页

A multi-step inertial Bregman proximal DC algorithm and its application to solving some inverse problems 一种多步惯性Bregman近端直流电算法及其在反问题求解中的应用

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-15 DOI: 10.1016/j.cam.2025.116923

Zhixue Wang, Chenjian Pan, Hongjin He

引用次数: 0

A nonconvex non-Lipschitz regularization model with globally convergent algorithm for multiphase piecewise-smooth image segmentation with intensity inhomogeneities 一种具有全局收敛性的非凸非lipschitz正则化模型用于具有强度不均匀性的多相分段平滑图像分割

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-15 DOI: 10.1016/j.cam.2025.116919

Zhenzhen Kang, Weina Wang

{"title":"A nonconvex non-Lipschitz regularization model with globally convergent algorithm for multiphase piecewise-smooth image segmentation with intensity inhomogeneities","authors":"Zhenzhen Kang, Weina Wang","doi":"10.1016/j.cam.2025.116919","DOIUrl":"10.1016/j.cam.2025.116919","url":null,"abstract":"<div><div>Nonconvex and nonsmooth regularizations have demonstrated excellent capabilities in preserving edges and contrasts compared to convex regularizations. This paper focuses on employing a nonconvex variational model with a provably convergent algorithm for multi-phase piecewise smooth image segmentation with intensity inhomogeneities. The regularization term extends the nonconvex penalty from a single characteristic function to multiple characteristic functions under canonical simplex constraints. Based on image information in local regions, a kernel-based data fitting energy is designed to fit local inhomogeneous features. By using an alternating update strategy, the proposed model can be decomposed into two subproblems, where each can be effectively solved. Under an abstract convergence framework for descent methods, the limit point of the generated sequence converges to a critical point of the original nonconvex nonsmooth problem. Numerical experiments and comparisons show that the proposed method has superior segmentation performance for both synthetic and real images.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116919"},"PeriodicalIF":2.1,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144662750","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

The stability comparison of two discretization schemes for nonlinear magnetic diffusion problems with step-function resistivity 阶跃函数电阻率非线性磁扩散问题两种离散化方案的稳定性比较

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-15 DOI: 10.1016/j.cam.2025.116877

Gao Chang , Chunsheng Feng , Jianmeng He , Shi Shu , Bo Xiao , Li Zhao

引用次数: 0

Stochastic episodes driven by truncated exponential observations 由截断指数观测值驱动的随机事件

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-14 DOI: 10.1016/j.cam.2025.116895

Robert P. Chastain, Tomasz J. Kozubowski , Anna K. Panorska

引用次数: 0

The distribution of wind power from a dispersed array of wind turbine generators and its reliability based applications 风力发电机分散阵列的风力分布及其可靠性应用

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-14 DOI: 10.1016/j.cam.2025.116908

Serkan Eryilmaz , Cihangir Kan , Yilser Devrim

引用次数: 0

A fractional-order mathematical approach to dengue transmission: Encompassing genetic algorithm-based optimization 登革热传播的分数阶数学方法：包含基于遗传算法的优化

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-14 DOI: 10.1016/j.cam.2025.116911

Sathi Patra , Soovoojeet Jana , Sayani Adak , Snehasis Barman , Suvankar Majee , Tapan Kumar Kar

{"title":"A fractional-order mathematical approach to dengue transmission: Encompassing genetic algorithm-based optimization","authors":"Sathi Patra , Soovoojeet Jana , Sayani Adak , Snehasis Barman , Suvankar Majee , Tapan Kumar Kar","doi":"10.1016/j.cam.2025.116911","DOIUrl":"10.1016/j.cam.2025.116911","url":null,"abstract":"<div><div>This paper proposes a fractional-order seven-compartmental model including five human compartments and two vector compartments to describe the transmission dynamics of dengue disease. We take into account the saturated treatment function while forming the model, incorporating three controls: awareness control, treatment control, and insecticide control. The intricate dynamics of the system, encompassing the existence and uniqueness of solutions as well as their biological feasibility, are thoroughly examined. The threshold parameter of the system, known as the basic reproduction number, is derived, along with the conditions for the occurrence of backward bifurcation and transcritical bifurcation. We also acquired the equilibria and their stability in relation to variations in the basic reproduction number. Furthermore, we have demonstrated that both backward and transcritical bifurcations can be influenced simply by adjusting the cure rate efficiency and the potency of insecticide controls, which remain within our sphere of control. The analytical result is verified through some numerical work. Finally, we apply the genetic algorithm optimization technique, which is independent of the initial state of the population, to minimize the basic reproduction number by optimizing three control parameters and the cure rate. Optimizing the control parameters and cure rate, we have deduced that the disease will die out in the case of transcritical bifurcation, but it will remain in the population in an equilibrium state for the backward bifurcation.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"474 ","pages":"Article 116911"},"PeriodicalIF":2.1,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144663447","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

Optimal control governed by nonlinear variable-order fractional integro-differential equations through generalized Dickson polynomial expansions 用广义Dickson多项式展开非线性变阶分数阶积分微分方程的最优控制

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-14 DOI: 10.1016/j.cam.2025.116917

Maryam Alipour , Samaneh Soradi-Zeid

{"title":"Optimal control governed by nonlinear variable-order fractional integro-differential equations through generalized Dickson polynomial expansions","authors":"Maryam Alipour , Samaneh Soradi-Zeid","doi":"10.1016/j.cam.2025.116917","DOIUrl":"10.1016/j.cam.2025.116917","url":null,"abstract":"<div><div>This study proposes an efficient approach for nonlinear optimal control problems governed by variable-order fractional integro-differential equation. The presented approach is based on transformation of the main problem to solving system of nonlinear algebraic equations. The offered computational method is established upon the Dickson polynomials and their properties. Through the way, a new operational matrix of Caputo variable-order fractional derivative is derived for the mentioned polynomials. More precisely, the state and control variables are expanded in components of the Dickson polynomials with undetermined coefficients. Then, these expansions are substituted in the cost functional and the fractional dynamical system. Consequently, the procedure of the constrained extremum problem supported by the collocation method is utilized to extract some nonlinear algebraic equations from the transformation of the desired optimal control problem by a set of unknown Lagrange multipliers. One of the key points of this method is to proving the convergence analysis and error bound of its solution. The precision of the proposed approach is examined through three various types of test examples. The obtained results indicate the superiority of the proposed method and confirm the standard criteria with theoretically accurate results.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116917"},"PeriodicalIF":2.1,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144623371","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

Artificial neural network approach for the prediction of onset of magneto-convection of a power-law nanofluid saturated porous layer 幂律纳米流体饱和多孔层磁对流起始预测的人工神经网络方法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-13 DOI: 10.1016/j.cam.2025.116910

Santhosh Kumar Kathuroju , Gundlapally Shiva Kumar Reddy , Odelu Ojjela

{"title":"Artificial neural network approach for the prediction of onset of magneto-convection of a power-law nanofluid saturated porous layer","authors":"Santhosh Kumar Kathuroju , Gundlapally Shiva Kumar Reddy , Odelu Ojjela","doi":"10.1016/j.cam.2025.116910","DOIUrl":"10.1016/j.cam.2025.116910","url":null,"abstract":"<div><div>The onset of magneto-convective instability of a power-law nanofluid in a porous layer with vertical throughflow is analyzed using both mathematical and artificial neural network (ANN) modeling. The nanofluid model incorporates thermophoresis and Brownian motion effects. In mathematical modeling, the normal mode method is applied to solve the governing non-dimensional equations. The eigenvalue problem for linear instability is solved by bvp4c in MATLAB. Although this mathematical approach provides accurate results for lower Péclet numbers, its performance becomes unreliable at higher values, as confirmed by previous studies. To address this, ANN-based modeling is applied to extend predictive capabilities. The results have shown that the multi-layer perceptron (MLP) regressor exhibits significantly higher accuracy compared to the support vector regression (SVR). This study explains the alterations in hydrodynamic behaviors of Newtonian and power-law flows when influenced by a magnetic field, initiating subcritical finite amplitude convection in both pseudoplastic and dilatant fluids. The findings reveal that as the modified diffusivity ratio increases, the temperature difference escalates, consequently exerting a destabilizing effect on the ratio. A comparative analysis with published results confirms the consistency of the present results.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116910"},"PeriodicalIF":2.1,"publicationDate":"2025-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144632623","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

Asymptotic analysis of a class of integrals involving two oscillatory Bessel functions 一类包含两个振动贝塞尔函数的积分的渐近分析

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-13 DOI: 10.1016/j.cam.2025.116905

Ruyun Chen, Hong Du

引用次数: 0

Coupled generalized Riemann problems for the Euler equations 欧拉方程的耦合广义黎曼问题

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-13 DOI: 10.1016/j.cam.2025.116907

Zhifang Du , Aleksey Sikstel

引用次数: 0