International Journal of Nonlinear Sciences and Numerical Simulation最新文献_第10页

Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces Banach空间中脉冲时滞积分微分方程的Ulam型稳定性

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-12 DOI: 10.1515/ijnsns-2021-0261

Pallavi S. Scindia, K. Nisar

引用次数: 2

Numerical simulation of particulate matter propagation in an indoor environment with various types of heating 不同加热方式下室内环境中颗粒物传播的数值模拟

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-11 DOI: 10.1515/ijnsns-2021-0104

A. Issakhov, Aidana Alimbek

引用次数: 0

Numerical solutions of the Bagley–Torvik equation by using generalized functions with fractional powers of Laguerre polynomials 用Laguerre多项式的分数次幂广义函数求解Bagley–Torvik方程

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-03 DOI: 10.1515/ijnsns-2021-0120

Ş. Yüzbaşı, Gamze Yıldırım

{"title":"Numerical solutions of the Bagley–Torvik equation by using generalized functions with fractional powers of Laguerre polynomials","authors":"Ş. Yüzbaşı, Gamze Yıldırım","doi":"10.1515/ijnsns-2021-0120","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0120","url":null,"abstract":"Abstract In this study, a collocation approach is presented to solve Bagley–Torvik equation, which is a class of fractional differential equations. As most fractional differential equations do not have exact analytical solutions, it is needed numerical methods. This study is important because it presents a numerical method for fractional differential equations. The main purpose of this method is to obtain the approximate solution based on Laguerre polynomials of the Bagley–Torvik equation. To date, a collocation method based on the Laguerre polynomials has not been studied for the solutions of the Bagley–Torvik equation. This reveals the novelty of the study. The approximate solution is sought in form of the fractional powers of the Laguerre polynomials. By using the Caputo derivative, the matrix relation is created for term with fractional derivative in the equation. Similarly, the matrix relation of second derivative is computed in equation. Then, by using these matrix relations and the collocation points, the Bagley–Torvik problem is converted into a system of the linear algebraic equations. The solution of this system gives the coefficients of the assumed solution. Secondly, an error estimation method is given with the help of the residual function and also the Laguerre polynomial solution is improved by using the estimated error function. Then, the method is applied to four examples and the obtained numerical results are shown in tables and graphs. Also, the comparisons are made with other methods in the literature and so the presented method gives better results than other methods.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41818421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

A new approach to representations of homothetic motions in Lorentz space 洛伦兹空间中同质运动表示的一种新方法

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-04-28 DOI: 10.1515/ijnsns-2021-0235

D. Ünal, M. Güngör, M. Tosun

引用次数: 0

Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics 天体物理学中非线性Lane-Emden型变阶分数阶微分方程的数值模拟

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-04-28 DOI: 10.1515/ijnsns-2021-0092

Rupali Gupta, S. Kumar

引用次数: 2

Elastic trend filtering 弹性趋势滤波

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-04-26 DOI: 10.1515/ijnsns-2021-0237

Juyoung Jeong, Y. Jung, S. Yun

引用次数: 1

N-fold Darboux transformation and exact solutions for the nonlocal Fokas–Lenells equation on the vanishing and plane wave backgrounds 消失波和平面波背景下非局部Fokas-Lenells方程的n倍Darboux变换和精确解

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-04-25 DOI: 10.1515/ijnsns-2021-0224

Li Li, Yiyan Liu, Fajun Yu

{"title":"N-fold Darboux transformation and exact solutions for the nonlocal Fokas–Lenells equation on the vanishing and plane wave backgrounds","authors":"Li Li, Yiyan Liu, Fajun Yu","doi":"10.1515/ijnsns-2021-0224","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0224","url":null,"abstract":"Abstract In this paper, we propose and investigate the reverse-space–time nonlocal nonlinear Fokas–Lenells equation by the idea of Ablowitz and Musslimani. The reverse-space–time Fokas–Lenells equation, associated with a 2 × 2 matrix Lax pair, is the important integrable system, which can be reduced to the nonlocal Fokas–Lenells equation. Based on its Lax pair, we construct nonlocal version of N-fold Darboux transformation (DT) for the Fokas–Lenells equation, and obtain two kinds of soliton solutions from vanishing and plane wave backgrounds. Further some novel one-soliton and two-soliton are derived with the zero and nonzero seed solutions through complex computations, including the bright soliton, kink soliton and breather wave soliton. Moreover, various graphical analyses on the presented solutions are made to reveal the dynamic behaviors, which display the elastic interactions between two solitons and their amplitudes keeping unchanged after the interactions except for the phase shifts. It is clearly shown that these solutions have new properties which differ from ones of the classical Fokas–Lenells equation.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47789885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Distributed order model of labor migration 劳动力迁移的分布式订单模型

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-03-15 DOI: 10.1515/ijnsns-2021-0056

M. A. Balcı

引用次数: 0

Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays HIV-1模型的阈值动力学，包括病毒到细胞和细胞到细胞的传播、免疫反应和三次延迟

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-03-04 DOI: 10.1515/ijnsns-2021-0263

H. Miao, Meiyan Jiao

{"title":"Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays","authors":"H. Miao, Meiyan Jiao","doi":"10.1515/ijnsns-2021-0263","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0263","url":null,"abstract":"Abstract In this paper, the dynamical behaviors of a multiple delayed HIV-1 infection model which describes the interactions of humoral, cytotoxic T lymphocyte (CTL) immune responses, and two modes of transmission that are the classical virus-to-cell infection and the direct cell-to-cell transmission are investigated. The model incorporates three delays, including the delays of cell infection, virus production and activation of immune response. We first prove the well-posedness of the model, and calculate the biological existence of equilibria and the reproduction numbers, which contain virus infection, humoral immune response, CTL immune response, CTL immune competition, and humoral immune competition. Further, the threshold conditions for the local and global stability of the equilibria for infection-free, immune-free, antibody response, CTL response, and interior are established by utilizing linearization method and the Lyapunov functionals. The existence of Hopf bifurcation with immune delay as a bifurcation parameter is investigated by using the bifurcation theory. Numerical simulations are carried out to illustrate the theoretical results and reveal the effects of some key parameters on viral dynamics.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48027653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition 动脉粥样硬化条件下血液脉动流动传热传质的数值研究

IF 1.5 4区工程技术

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-02-25 DOI: 10.1515/ijnsns-2021-0155

M. S. Shabbir, Z. Abbas, N. Ali

{"title":"Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition","authors":"M. S. Shabbir, Z. Abbas, N. Ali","doi":"10.1515/ijnsns-2021-0155","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0155","url":null,"abstract":"Abstract The present article investigates the effects of heat and mass transfer on the pulsatile flow of blood through a tapered artery under atherosclerotic conditions. The blood is treated as Sutterby fluid. The wall of the artery is considered to be time-invariant having overlapping stenosis in its lumen. The fully coupled momentum, energy and concentration equations in conjunction with the constitutive equation of Sutterby fluid are simplified by applying the mild stenosis assumption. The governing equations together with the prescribed boundary conditions are discretized and solved by using the finite difference method. The results highlighting the effects of various emerging parameters on the heat and mass transfer are also displayed through graphs. The effects of stenosis height and Prandtl number on the axial variation of Nusselt number are also discussed in detail. A comparison of Sutterby fluid with the Newtonian fluid is also presented to highlight the effects of the Prandtl number on the heat and mass transfer. The present study reveals that the distribution of temperature in the constricted region of the blood vessel is closely associated with the viscoelastic nature of blood. It is also observed that the rate of heat transfer at the wall of the artery can be enhanced by reducing the thermal conductivity.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47739093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3