Partial Differential Equations in Applied Mathematics最新文献_第10页

Modeling and global stability analysis of COVID-19 dynamics with optimal control and cost-effectiveness analysis 利用优化控制和成本效益分析对 COVID-19 动态进行建模和全局稳定性分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-26 DOI: 10.1016/j.padiff.2024.100843

引用次数: 0

Existence analysis on multi-derivative nonlinear fractional neutral impulsive integro-differential equations 多衍生非线性分数中性脉冲积分微分方程的存在性分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-25 DOI: 10.1016/j.padiff.2024.100839

引用次数: 0

New Grüss’s inequalities estimates considering the φ-fractional integrals 考虑φ分式积分的新格吕斯不等式估计

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-24 DOI: 10.1016/j.padiff.2024.100836

引用次数: 0

Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method 用修正的扩展直接代数法分析解决时空分数昆杜-埃克豪斯方程

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-24 DOI: 10.1016/j.padiff.2024.100832

{"title":"Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method","authors":"","doi":"10.1016/j.padiff.2024.100832","DOIUrl":"10.1016/j.padiff.2024.100832","url":null,"abstract":"<div><p>The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised to handle the problem of NFPDEs where soliton solutions are difficult to obtain. Due to their accuracy in reproducing complex physical phenomena, soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) have recently attracted interest. Several mathematical techniques have been devised to tackle the difficult task of solving non-finite partial differential equations (NFPDEs) soliton. Studies of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) have garnered increased attention recently due to its capacity to accurately represent complex physical processes. Due to the difficulty of obtaining soliton solutions, NFPDEs can be solved using a wide variety of mathematical methods. In this way, it facilitates the extraction of the recently found abundance of optical soliton solutions. To further understanding of the results, the study also includes contour and three-dimensional images that visually depict particular optical soliton solutions for particular parameter selections, suggesting the existence of different soliton structures in the nonlinear fractional Kundu–Eckhaus equation (NFKEE) region. It is shown that the proposed technique is quite powerful and effective in solving several nonlinear FDEs.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124002183/pdfft?md5=125649d653bea187ff6171f7309c67c7&pid=1-s2.0-S2666818124002183-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141847344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Weak noise approximation for the Kolmogorov forward equation for a leaky integrate-and-fire neuron subject to stochastic stimulation 受随机刺激的渗漏整合发射神经元的柯尔莫哥洛夫正向方程的弱噪声近似值

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-23 DOI: 10.1016/j.padiff.2024.100834

引用次数: 0

Analytical analysis and bifurcation of pine wilt dynamical transmission with host vector and nonlinear incidence using sustainable fractional approach 利用可持续分形方法，对带有寄主矢量和非线性入射的松树枯萎病动态传播进行分析和分叉

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1016/j.padiff.2024.100830

{"title":"Analytical analysis and bifurcation of pine wilt dynamical transmission with host vector and nonlinear incidence using sustainable fractional approach","authors":"","doi":"10.1016/j.padiff.2024.100830","DOIUrl":"10.1016/j.padiff.2024.100830","url":null,"abstract":"<div><p>To study the dynamical system, it is necessary to formulate a mathematical model to comprehend the dynamics of the diseases that are prevalent around the world by using fractional calculus. A mathematical model is developed with the hypothesis created by adding control and asymptomatic variables to observe the rate of change of pine wilt and the ABC operator is used to turn the model into a fractional ordered model for continuous monitoring. The Boundedness and uniqueness of the developed model are investigated for bounded findings by using Banach space, which are the key properties of such an epidemic model. A newly developed system is examined both qualitatively and quantitatively to determine its stable position, and the verification of flip bifurcation has been made for developed systems. Derived reproductive numbers using the next-generation technique as well as the sensitivity of each involved parameter are verified. The Atangana–Toufik scheme is employed to find the solution for the developed system using different fractional values, which are advanced tools for reliable bounded solutions. Simulations have been made to see the real behavior and effects of pine wilt disease with control and asymptomatic battels in the community. Also, identify the real situation of the spread as well as the control of pine wilt after employing control and asymptomatic battels due to treatment. Such a type of investigation will be useful in investigating the spread of disease as well as helpful in developing control strategies based on our justified outcomes.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S266681812400216X/pdfft?md5=b0aac99b6ada7ea83570ccfa529e0f08&pid=1-s2.0-S266681812400216X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141838521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A novel fractional mask for image denoising based on fractal–fractional integral 基于分形-分形积分的新型图像去噪分形掩膜

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1016/j.padiff.2024.100833

引用次数: 0

Spectral analysis of the indefinite non-self-adjoint Sturm–Liouville operator 不定非自相加 Sturm-Liouville 算子的谱分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1016/j.padiff.2024.100831

引用次数: 0

Hybrid Haar wavelet and meshfree methods for hyperbolic double interface problems: Numerical implementations and comparative performance analysis 双曲双界面问题的混合哈小波和无网格方法：数值实现和性能比较分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-20 DOI: 10.1016/j.padiff.2024.100773

{"title":"Hybrid Haar wavelet and meshfree methods for hyperbolic double interface problems: Numerical implementations and comparative performance analysis","authors":"","doi":"10.1016/j.padiff.2024.100773","DOIUrl":"10.1016/j.padiff.2024.100773","url":null,"abstract":"<div><p>This paper introduces a variety of approaches for solving 2D and 3D hyperbolic double interface problems. The methods are based on the Haar wavelet method, multiquadric radial basis function method, and integrated multiquadric radial basis function method. Temporal derivatives are handled using the second central difference and the Houbolt method. Various numerical approaches based on these methods are developed, and their implementations are discussed in complete detail. The paper evaluates and compares the performances of these approaches using both linear and nonlinear 2D and 3D double interface hyperbolic problems. Error analysis, conducted using the L-infinity norm, and efficiency assessments measured through CPU times contribute to a comprehensive understanding of the applicability and comparative effectiveness of the proposed methods. This study provides valuable insights for researchers and practitioners dealing with the challenges posed by interface problems in general.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124001591/pdfft?md5=a6528933f1aae1654af42a42ca1231a8&pid=1-s2.0-S2666818124001591-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141850886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analyzing sensitivity and multi-soliton solutions in the Estevez–Mansfield–Clarkson equation: Insights into dynamics of bifurcation and chaos 分析 Estevez-Mansfield-Clarkson 方程中的敏感性和多孑子解：对分岔和混沌动力学的见解

Partial Differential Equations in Applied Mathematics Pub Date : 2024-07-20 DOI: 10.1016/j.padiff.2024.100826

{"title":"Analyzing sensitivity and multi-soliton solutions in the Estevez–Mansfield–Clarkson equation: Insights into dynamics of bifurcation and chaos","authors":"","doi":"10.1016/j.padiff.2024.100826","DOIUrl":"10.1016/j.padiff.2024.100826","url":null,"abstract":"<div><p>In this investigation, an analysis of the Estevez–Mansfield–Clarkson equation, a model equation employed in the examination of shape formation in liquid drops, optics, and mathematical physics, is undertaken. Firstly, multiple wave solitons, including 1-soliton, 2-soliton, and 3-soliton structures, are successfully generated through the utilization of a multiple exp-function technique. Subsequently, the conversion of the partial differential equation into an ordinary differential equation is executed. The extraction of various traveling wave patterns, such as kink, anti-kink, periodic, and exponential functions, is then carried out using the new auxiliary equation method. The outcomes are visually represented through 3-dimensional, 2-dimensional, and density plots, employing Mathematica software. Following this, an investigation into the qualitative dynamics of the equation is conducted, examining aspects such as bifurcation and chaos. Critical points are identified for bifurcation, and the dynamical system undergoes an outward force, resulting in the identification of chaotic patterns. Furthermore, the model’s sensitivity across different initial values is explored. These solutions hold immense significance in the domains of nonlinear fiber optics and telecommunications that help in deepening our knowledge about the basic physical model.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124002122/pdfft?md5=8f78a0cdce1fcedb4e06f7503eb2f422&pid=1-s2.0-S2666818124002122-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141841248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0