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A kernel function based regularized method for boundary value problems with noisy information
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-02-01 DOI: 10.1016/j.aml.2025.109481
X.L. Li , F.Z. Geng , Y.Q. Gao
{"title":"A kernel function based regularized method for boundary value problems with noisy information","authors":"X.L. Li ,&nbsp;F.Z. Geng ,&nbsp;Y.Q. Gao","doi":"10.1016/j.aml.2025.109481","DOIUrl":"10.1016/j.aml.2025.109481","url":null,"abstract":"<div><div>Taking advantage of the reproducing kernel theory, several effective numerical algorithms have been developed to solve boundary value problems (BVPs) with the exact right side functions. However, these methods have difficulty in solving effectively linear boundary value problems when the right side of the equation has contaminated data. The objective of this letter is to introduce a robust numerical algorithm for linear BVPs with noisy right-hand side functions information. To overcome the challenges of the noisy right-hand side functions, the idea of regularization is used. Numerical simulation is employed to illustrate the superiority of the present method.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109481"},"PeriodicalIF":2.9,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143176883","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
A monotone block coordinate descent method for solving absolute value equations
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-30 DOI: 10.1016/j.aml.2025.109479
Tingting Luo , Jiayu Liu , Cairong Chen , Qun Wang
{"title":"A monotone block coordinate descent method for solving absolute value equations","authors":"Tingting Luo ,&nbsp;Jiayu Liu ,&nbsp;Cairong Chen ,&nbsp;Qun Wang","doi":"10.1016/j.aml.2025.109479","DOIUrl":"10.1016/j.aml.2025.109479","url":null,"abstract":"<div><div>In Noor et al. (2011), the second-order Taylor expansion of the objective function is incorrectly used in constructing the descent direction. Thus, the proposed block coordinate descent method is non-monotone and a strict convergence analysis is lack. This motivates us to propose a monotone block coordinate descent method for solving absolute value equations. Under appropriate conditions, we analyze the global convergence of the algorithm and conduct numerical experiments to demonstrate its feasibility and effectiveness.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109479"},"PeriodicalIF":2.9,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077688","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
Finite element method for the coupled Stokes–Darcy–Darcy system
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-29 DOI: 10.1016/j.aml.2025.109477
Liyun Zuo , Guangzhi Du
{"title":"Finite element method for the coupled Stokes–Darcy–Darcy system","authors":"Liyun Zuo ,&nbsp;Guangzhi Du","doi":"10.1016/j.aml.2025.109477","DOIUrl":"10.1016/j.aml.2025.109477","url":null,"abstract":"<div><div>In this article, we propose and analyze the finite element method for the mixed Stokes–Darcy–Darcy system which involves free flow in conduits coupled with confined flow in fractured porous media. The interactions on the interfaces come from the classical Stokes–Darcy system and the famous bulk-fracture system. Rigorously theoretical results are derived and some numerical results are provided to verify the theoretical findings.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109477"},"PeriodicalIF":2.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077658","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
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-29 DOI: 10.1016/j.aml.2025.109478
Yaqin Huang , Xin Meng , Xia Wang , Libin Rong
{"title":"Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes","authors":"Yaqin Huang ,&nbsp;Xin Meng ,&nbsp;Xia Wang ,&nbsp;Libin Rong","doi":"10.1016/j.aml.2025.109478","DOIUrl":"10.1016/j.aml.2025.109478","url":null,"abstract":"<div><div>In this paper, we investigate an HIV latent infection model that incorporates cell-to-cell transmission and multiple drug classes, extending the model proposed by Areej Alshorman et al. (2022). We derive the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> for the model and establish the existence and local stability of its equilibria. By constructing appropriate Lyapunov functions, we analyze the global stability of these equilibria, with <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> serving as the threshold parameter. Specifically, when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&lt;</mo><mn>1</mn></mrow></math></span>, the infection-free equilibrium is globally asymptotically stable, whereas when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></mrow></math></span>, the infectious equilibrium is globally asymptotically stable.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109478"},"PeriodicalIF":2.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077689","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
Real solutions to an asymptotically linear Helmholtz equation
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-27 DOI: 10.1016/j.aml.2025.109473
Biao Liu , Ruowen Qiu , Fukun Zhao
{"title":"Real solutions to an asymptotically linear Helmholtz equation","authors":"Biao Liu ,&nbsp;Ruowen Qiu ,&nbsp;Fukun Zhao","doi":"10.1016/j.aml.2025.109473","DOIUrl":"10.1016/j.aml.2025.109473","url":null,"abstract":"<div><div>In this paper, we study real solutions of the nonlinear Helmholtz equation <span><math><mrow><mo>−</mo><mi>Δ</mi><mi>u</mi><mo>−</mo><msup><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>u</mi><mo>=</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mi>x</mi><mo>∈</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>,</mo></mrow></math></span> satisfying the asymptotic conditions <span><math><mrow><mi>u</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>O</mi><mfenced><mrow><msup><mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow></mrow><mrow><mfrac><mrow><mn>1</mn><mo>−</mo><mi>N</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></msup></mrow></mfenced><mspace></mspace><mtext>and</mtext><mspace></mspace><mfrac><mrow><msup><mrow><mi>∂</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>u</mi></mrow><mrow><mi>∂</mi><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><msup><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>u</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>o</mi><mfenced><mrow><msup><mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow></mrow><mrow><mfrac><mrow><mn>1</mn><mo>−</mo><mi>N</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></msup></mrow></mfenced><mspace></mspace><mtext>as</mtext><mi>r</mi><mo>=</mo><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mo>→</mo><mi>∞</mi><mtext>.</mtext></mrow></math></span></div><div>Assuming that <span><math><mi>f</mi></math></span> is asymptotically linear at infinity respect to <span><math><mi>u</mi></math></span>, the existence and multiplicity of real solutions are obtained via the variational methods.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"163 ","pages":"Article 109473"},"PeriodicalIF":2.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077672","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
High-order Runge–Kutta type large time-stepping schemes for the compressible Euler equations
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-27 DOI: 10.1016/j.aml.2025.109475
Lele Liu , Songhe Song
{"title":"High-order Runge–Kutta type large time-stepping schemes for the compressible Euler equations","authors":"Lele Liu ,&nbsp;Songhe Song","doi":"10.1016/j.aml.2025.109475","DOIUrl":"10.1016/j.aml.2025.109475","url":null,"abstract":"<div><div>This paper establishes a class of up to fourth-order large time-stepping schemes for the compressible Euler equations under the stabilization technique framework. The proposed schemes do not destroy the accuracy of the underlying strong-stability-preserving Runge–Kutta (SSPRK) schemes, and their time step is at most <span><math><mi>s</mi></math></span> times that of the forward Euler time step of the underlying <span><math><mi>s</mi></math></span>-stage, <span><math><mi>p</mi></math></span>th-order SSPRK schemes. Numerical experiments are presented to validate the effectiveness of the proposed schemes.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109475"},"PeriodicalIF":2.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077697","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
Threshold behavior of a stochastic predator–prey model with fear effect and regime-switching
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-26 DOI: 10.1016/j.aml.2025.109476
Jing Ge, Weiming Ji, Meng Liu
{"title":"Threshold behavior of a stochastic predator–prey model with fear effect and regime-switching","authors":"Jing Ge,&nbsp;Weiming Ji,&nbsp;Meng Liu","doi":"10.1016/j.aml.2025.109476","DOIUrl":"10.1016/j.aml.2025.109476","url":null,"abstract":"<div><div>This work proposes a stochastic predator–prey model with fear effect and regime-switching. It is testified that the dynamical behaviors of the model are determined by two thresholds <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><mi>G</mi></math></span>: if both <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><mi>G</mi></math></span> are positive, then the model admits a unique stationary distribution with the ergodic property; if <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> is positive and <span><math><mi>G</mi></math></span> is negative, then the predator population dies out and the prey population is persistent; if <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> is negative, then both the prey population and the predator population die out. Some recent results are improved and extended greatly.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109476"},"PeriodicalIF":2.9,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077698","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
Positive recurrence of a stochastic heroin epidemic model with standard incidence and telegraph noise
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-25 DOI: 10.1016/j.aml.2025.109474
Yu Chen, Xiaofeng Zhang
{"title":"Positive recurrence of a stochastic heroin epidemic model with standard incidence and telegraph noise","authors":"Yu Chen,&nbsp;Xiaofeng Zhang","doi":"10.1016/j.aml.2025.109474","DOIUrl":"10.1016/j.aml.2025.109474","url":null,"abstract":"<div><div>The heroin epidemic has posed a serious threat to public health and social stability. Understanding the dynamics of the heroin epidemic model is of great significance for formulating effective prevention and control strategies. In this paper, a stochastic heroin epidemic model with standard incidence and telegraph noise is considered. By constructing a suitable stochastic Lyapunov function with regime switching, we get sufficient conditions of positive recurrence of the solution for stochastic system, which may provide valuable insights for further research and control strategies related to heroin epidemics.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"164 ","pages":"Article 109474"},"PeriodicalIF":2.9,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077699","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 effective operator splitting scheme for general motion by mean curvature using a modified Allen–Cahn equation
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-24 DOI: 10.1016/j.aml.2025.109472
Zihan Cao, Zhifeng Weng, Shuying Zhai
{"title":"An effective operator splitting scheme for general motion by mean curvature using a modified Allen–Cahn equation","authors":"Zihan Cao,&nbsp;Zhifeng Weng,&nbsp;Shuying Zhai","doi":"10.1016/j.aml.2025.109472","DOIUrl":"10.1016/j.aml.2025.109472","url":null,"abstract":"<div><div>We present a fast and effective method for modeling general motion by mean curvature based on a modified Allen–Cahn equation. Employing the second-order operator time-splitting method, the original problem is discretized into three subproblems based on the different natures of each part of the model: the heat equation is solved by a Crank–Nicolson (CN) alternating direction implicit (ADI) finite difference scheme; the other two nonlinear equations have closed-form solutions and thus can be solved analytically. We demonstrate that the resulting scheme can preserve the maximum principle of the modified Allen–Cahn equation. Numerical experiments are presented to demonstrate the effectiveness of the proposed scheme.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"163 ","pages":"Article 109472"},"PeriodicalIF":2.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077700","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
Novel Razumikhin-type finite-time stability criteria of fractional nonlinear systems with time-varying delay
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-01-23 DOI: 10.1016/j.aml.2025.109469
Shuihong Xiao, Jianli Li
{"title":"Novel Razumikhin-type finite-time stability criteria of fractional nonlinear systems with time-varying delay","authors":"Shuihong Xiao,&nbsp;Jianli Li","doi":"10.1016/j.aml.2025.109469","DOIUrl":"10.1016/j.aml.2025.109469","url":null,"abstract":"<div><div>This paper investigates the finite-time stability (FTS) of fractional-order nonlinear systems with time-varying delay (FONDSs). Unlike most of the existing literatures on FTS of fractional-order nonlinear delayed systems by means of establishing delayed integral inequalities, several Razumikhin-type Lyapunov conditions are presented in this paper. Using these results, we derive stability criteria for fractional-order neural networks (FONNs) and fractional-order non-autonomous systems (FONASs), respectively. Finally, two numerical examples are provided to demonstrate the applicability and effectiveness of the proposed theorems.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"163 ","pages":"Article 109469"},"PeriodicalIF":2.9,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143035325","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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