Journal of Applied Mathematics and Computing最新文献_第5页

A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions 基于哈小波的数值求解器，用于求解具有简单、两点和两点积分条件的五阶微分方程

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-23 DOI: 10.1007/s12190-024-02176-3

Muhammad Ahsan, Weidong Lei, Muhammad Junaid, Masood Ahmed, Maher Alwuthaynani

{"title":"A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions","authors":"Muhammad Ahsan, Weidong Lei, Muhammad Junaid, Masood Ahmed, Maher Alwuthaynani","doi":"10.1007/s12190-024-02176-3","DOIUrl":"https://doi.org/10.1007/s12190-024-02176-3","url":null,"abstract":"This article introduces a Haar wavelet-based numerical method for solving fifth-order linear and nonlinear differential equations. This method easily handles both homogeneous and nonhomogeneous equations. It also works with variable and constant coefficients under various conditions. The method is flexible, making it easy to work with boundary, integral, and two-point integral conditions. These three different cases of given information are coupled with fifth-order linear and nonlinear differential equations, and the method proves to be effective in these cases. The outcomes of the Haar wavelet collocation technique are compared with approaches found in existing literature. The method demonstrates second-order convergence, and experimental results support this idea as well. The CPU time is used to evaluate the efficiency of the method, and the maximum absolute errors ((L_infty )) are utilized to assess the accuracy level. Different examples are studied along with various given information, and the method is found to be adaptable to different types of boundary conditions and particular integral conditions.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"2 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Stochastic extinction and persistence of a heterogeneous epidemiological model 异质性流行病学模型的随机消亡和持续性

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-23 DOI: 10.1007/s12190-024-02191-4

Hetsron L. Nyandjo-Bamen, Jean Marie Ntaganda, Aurélien Tellier, Olivier Menoukeu-Pamen

引用次数: 0

Characterization and classification of optimal ternary linear one-dimensional hull codes 最优三元线性一维船体编码的特征和分类

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-22 DOI: 10.1007/s12190-024-02192-3

Tingting Tong, Shitao Li, Minjia Shi

引用次数: 0

Estimation of lower bound for the smallest singular value enclosure of interval matrices 估计区间矩阵最小奇异值外壳的下限

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-19 DOI: 10.1007/s12190-024-02180-7

Sarishti Singh, Geetanjali Panda

引用次数: 0

A stochastic population model with hierarchic size-structure 具有等级规模结构的随机种群模型

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-19 DOI: 10.1007/s12190-024-02187-0

Carles Barril, Àngel Calsina, József Z. Farkas

引用次数: 0

Analytical investigation of the fractional nonlinear shallow-water model 分数非线性浅水模型的分析研究

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-17 DOI: 10.1007/s12190-024-02172-7

Hegagi Mohamed Ali

{"title":"Analytical investigation of the fractional nonlinear shallow-water model","authors":"Hegagi Mohamed Ali","doi":"10.1007/s12190-024-02172-7","DOIUrl":"https://doi.org/10.1007/s12190-024-02172-7","url":null,"abstract":"In this research article, we introduce an investigation for analytical approximate solutions of the time-fractional nonlinear shallow water model. This model is described as a system of coupled partial differential equations that characterize the dynamics of water motion below a pressure surface in oceanic or sea environments, which is distinguished by the fact that the vertical dimension is smaller in magnitude than the typical horizontal dimension. The modified generalized Mittag-Leffler function method is an effective and innovative analytical technique to acquire convenient approximate solutions for this fractional order model. The methodology of proposed method to solve general fractional nonlinear partial differential equations is presented. Also, the convergence of this method and estimated error analysis for the projected solutions are proved. The approximate solutions gained by our method when (alpha =1) are compared with the recognized exact solutions and outcomes of other techniques in the same conditions published in the literature, including the residual power series method, natural transform decomposition method, modified homotopy analysis transform method and new iterative method. Moreover, some two and three-dimensional graphs and tabulated data display a simulation of acquired results. Also, the influence of (alpha ) on the behavior of solutions is exhibited. The findings demonstrate the effectiveness and advantages of the suggested method, including not requiring any linearization or perturbation and transformations, easily computable components, implemented directly to the problems, satisfactory approximate solutions and a small absolute error.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"38 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141722312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

On ABS Estrada index of trees 论树木的 ABS 埃斯特拉达指数

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-17 DOI: 10.1007/s12190-024-02188-z

Zhen Lin, Ting Zhou, Yingke Liu

{"title":"On ABS Estrada index of trees","authors":"Zhen Lin, Ting Zhou, Yingke Liu","doi":"10.1007/s12190-024-02188-z","DOIUrl":"https://doi.org/10.1007/s12190-024-02188-z","url":null,"abstract":"Let G be a graph with n vertices, and ({d_{i}}) be the degree of its i-th vertex. The ABS matrix of G is the square matrix of order n whose (i, j)-entry is equal to ({sqrt{({d_{i}+d_{j}-2})/({d_{i}+d_{j}})}}) if the i-th vertex and the j-th vertex of G are adjacent, and 0 otherwise. Let (rho _1ge rho _2ge cdots ge rho _{n}) be the eigenvalues of the ABS matrix of G. Then the ABS Estrada index of G, denoted by (E_{ABS}(G)), is defined as (E_{ABS}(G)=sum _{i=1}^{n}e^{rho _i}). In this paper, the chemical importance of the ABS Estrada index is investigated and it is shown that the predictive ability of ABS Estrada index is stronger than other connectivity Estrada indices (including Randić Estrada index, harmonic Estrada index and ABC Estrada index) and ABS index for octane isomers. Since chemical graphs of octane isomers are trees, we study the extremal problem of ABS Estrada index of trees, and prove that for any tree (T_n) with (nge 3) vertices, $$begin{aligned} E_{ABS}(P_n)le E_{ABS}(T_n)le E_{ABS}(K_{1,n-1}) end{aligned}$$with equality in the left (resp., right) inequality if and only if (T_n) is isomorphic to the path (P_n) (resp., the star (K_{1,n-1})).","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"2 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141719973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Optical soliton solutions for the Chavy-Waddy-Kolokolnikov model for bacterial colonies using two improved methods 用两种改进方法解决细菌菌落的 Chavy-Waddy-Kolokolnikov 模型的光学孤子问题

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-17 DOI: 10.1007/s12190-024-02169-2

Jamilu Sabi’u, Sekson Sirisubtawee, Mustafa Inc

{"title":"Optical soliton solutions for the Chavy-Waddy-Kolokolnikov model for bacterial colonies using two improved methods","authors":"Jamilu Sabi’u, Sekson Sirisubtawee, Mustafa Inc","doi":"10.1007/s12190-024-02169-2","DOIUrl":"https://doi.org/10.1007/s12190-024-02169-2","url":null,"abstract":"In this paper, we use direct algebra and improved generalized Riccati equation methods to investigate optical soliton solutions to the Chavy-Waddy-Kolokolnikov model for bacterial colonies. The model is effective at phototaxis, which is the generation of bacterial aggregates that move toward the light. The model’s solitary wave solutions are obtained using the direct algebra and Ricatti equation methods, which take into account the minor perturbations of the linear case as well as the regimes of pattern generation and instability. For each case, we determined the dynamic of optical soliton solutions for the model, which includes hyperbolic, periodic soliton solutions for the linear case and stationary spike-like solutions for the nonlinear case. The methods produced several types of hyperbolic, periodic, and exponential solutions for this model that were not previously specified in the literature. We also presented the 2D and 3D graphs to show the kink, bright, and dark solitary wave structures with suitable numerical values. The obtained solutions will be of great importance in chemotaxis and phototaxis bacterial adaptations.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"48 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141719974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Dynamics of a stochastic and periodic virus model with Beddington-DeAngelis functional response 具有贝丁顿-德安吉利斯功能响应的随机和周期性病毒模型的动力学特性

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-14 DOI: 10.1007/s12190-024-02182-5

Peilin Shi, Lingzhen Dong

引用次数: 0

Complex dynamic behaviour on fractional predator–prey model of mathematical ecology 数学生态学分数捕食者-猎物模型的复杂动态行为

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-07-12 DOI: 10.1007/s12190-024-02171-8

Ajay Kumar, Dhirendra Bahuguna, Sunil Kumar

{"title":"Complex dynamic behaviour on fractional predator–prey model of mathematical ecology","authors":"Ajay Kumar, Dhirendra Bahuguna, Sunil Kumar","doi":"10.1007/s12190-024-02171-8","DOIUrl":"https://doi.org/10.1007/s12190-024-02171-8","url":null,"abstract":"In this paper, we present a mathematical predator–prey model in which the predator population is divided into two stages: mature (adult) stage and juvenile stage. Therefore, three coupled ordinary differential equations are incorporated in the predator–prey model with three state variables; mature predator, juvenile predator and prey. This predator–prey model is described in terms of Caputo, Caputo–Fabrizio (C–F) and fractal–fractional (F–F) operators. The fractional order predator–prey dynamical model helps to describe the efficacy (usefulness, effectiveness) of memory and hereditary properties with the help of fractional operators. We have investigated the uniqueness and existence of solutions with C–F and fractal–fractional (F–F) derivatives using the fixed point postulate. This model also exhibits Ulam’s type of stability based on nonlinear functional analysis. Numerical and behavioral analyses of the non-integer predator–prey model have been carried out using phase portraits. The predator–prey system with Caputo–Fabrizio (C–F) and fractal–fractional (F–F) operators have been solved numerically via the Adams-Bashforth scheme and new predictor–corrector scheme respectively. In an analysis of numerical simulations of predator–prey models, we have illustrated the effectiveness and applicability of these methods. Numerical simulations were performed using Matlab programming.\u0000","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"29 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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