Applied Mathematics Letters最新文献_第3页

Infinitely many negative energy solutions for fractional Schrödinger–Poisson systems 分数薛定谔-泊松系统的无限多负能量解

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-22 DOI: 10.1016/j.aml.2024.109389

Anbiao Zeng, Guangze Gu

引用次数: 0

A double-parameter shifted convolution quadrature formula and its application to fractional mobile/immobile transport equations 双参数移位卷积正交公式及其在分数移动/不移动传输方程中的应用

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-21 DOI: 10.1016/j.aml.2024.109388

Zhihao Sheng , Yang Liu , Yonghai Li

引用次数: 0

A new observation on the positive solutions for Kirchhoff equations in the exterior of a ball 对球外部基尔霍夫方程正解的新观察

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-19 DOI: 10.1016/j.aml.2024.109380

Shubin Yu

引用次数: 0

Optical soliton noninteraction transmission in optical communication systems 光通信系统中的光孤子非交互传输

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-19 DOI: 10.1016/j.aml.2024.109383

Xin Zhang , Xiaofeng Li , Guoli Ma

引用次数: 0

Simultaneous uniqueness identification of the fractional order and diffusion coefficient in a time-fractional diffusion equation 时间分数扩散方程中分数阶和扩散系数的同时唯一性识别

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-19 DOI: 10.1016/j.aml.2024.109386

Xiaohua Jing , Junxiong Jia , Xueli Song

{"title":"Simultaneous uniqueness identification of the fractional order and diffusion coefficient in a time-fractional diffusion equation","authors":"Xiaohua Jing , Junxiong Jia , Xueli Song","doi":"10.1016/j.aml.2024.109386","DOIUrl":"10.1016/j.aml.2024.109386","url":null,"abstract":"<div><div>This article is concerned with the uniqueness of simultaneously determining the fractional order of the derivative in time, diffusion coefficient, and Robin coefficient, in one-dimensional time-fractional diffusion equations with derivative order <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> and non-zero boundary conditions. The measurement data, which is the solution to the initial–boundary value problem, is observed at a single boundary point over a finite time interval. Based on the expansion of eigenfunctions for the solution to the forward problem and the asymptotic properties of the Mittag-Leffler function, the uniqueness of the fractional order is established. Subsequently, the uniqueness of the eigenvalues and the absolute value of the eigenfunction evaluated at <span><math><mrow><mi>x</mi><mo>=</mo><mn>0</mn></mrow></math></span> for the associated operator are demonstrated. Then, the uniqueness of identifying the diffusion coefficient and the Robin coefficient is proven via an inverse boundary spectral analysis for the eigenvalue problem of the spatial differential operator. The results show that the uniqueness of three parameters can be simultaneously determined using limited boundary observations at a single spatial endpoint over a finite time interval, without imposing any constraints on the eigenfunctions of the spatial differential operator.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"162 ","pages":"Article 109386"},"PeriodicalIF":2.9,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142696359","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

Rotational symmetries of 3D point clouds using the covariance matrix and higher-order tensors 利用协方差矩阵和高阶张量计算三维点云的旋转对称性

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-19 DOI: 10.1016/j.aml.2024.109381

Juan Gerardo Alcázar , Michal Bizzarri , Miroslav Lávička , Jan Vršek

引用次数: 0

Structure-preserving exponential time differencing methods for modeling Josephson Junctions 用于约瑟夫森结建模的结构保持指数时差法

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-19 DOI: 10.1016/j.aml.2024.109387

Fiona McIntosh, Lily Amirzadeh, Brian E. Moore

引用次数: 0

Alternative wetting boundary condition for binary fluids based on phase-field lattice Boltzmann method 基于相场晶格玻尔兹曼法的二元流体润湿边界条件替代方案

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-15 DOI: 10.1016/j.aml.2024.109369

Ya Li, Xiaolei Yuan, Hongyan Ma

引用次数: 0

A spline-based framework for solving the space–time fractional convection–diffusion problem 基于样条的时空分数对流扩散问题求解框架

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-12 DOI: 10.1016/j.aml.2024.109370

Chiara Sorgentone , Enza Pellegrino , Francesca Pitolli

{"title":"A spline-based framework for solving the space–time fractional convection–diffusion problem","authors":"Chiara Sorgentone , Enza Pellegrino , Francesca Pitolli","doi":"10.1016/j.aml.2024.109370","DOIUrl":"10.1016/j.aml.2024.109370","url":null,"abstract":"<div><div>In this study we consider a spline-based collocation method to approximate the solution of fractional convection–diffusion equations which include fractional derivatives in both space and time. This kind of fractional differential equations are valuable for modeling various real-world phenomena across different scientific disciplines such as finance, physics, biology and engineering.</div><div>The model includes the fractional derivatives of order between 0 and 1 in space and time, considered in the Caputo sense and the spatial fractional diffusion, represented by the Riesz–Caputo derivative (fractional order between 1 and 2). We propose and analyze a collocation method that employs a B-spline representation of the solution. This method exploits the symmetry properties of both the spline basis functions and the Riesz–Caputo operator, leading to an efficient approach for solving the fractional differential problem. We discuss the advantages of using Greville Abscissae as collocation points, and compare this choice with other possible distributions of points. Numerical experiments are presented to demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"161 ","pages":"Article 109370"},"PeriodicalIF":2.9,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142656775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Normalized solutions for Schrödinger–Bopp–Podolsky system with a negative potential 具有负电位的薛定谔-波普-波多尔斯基系统的归一化解法

IF 2.9 2区数学

Applied Mathematics Letters Pub Date : 2024-11-12 DOI: 10.1016/j.aml.2024.109368

Rong Zhang, Shuai Yao, Juntao Sun

引用次数: 0