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Framing the hydrothermal significance of water-based hybrid nanofluid flow over a revolving disk 构建旋转圆盘上水基混合纳米流体流动的水热意义
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2022-0137
E. A. Algehyne, Fuad S. Alduais, A. Saeed, Abdullah Dawar, M. Ramzan, P. Kumam
{"title":"Framing the hydrothermal significance of water-based hybrid nanofluid flow over a revolving disk","authors":"E. A. Algehyne, Fuad S. Alduais, A. Saeed, Abdullah Dawar, M. Ramzan, P. Kumam","doi":"10.1515/ijnsns-2022-0137","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0137","url":null,"abstract":"Abstract In this article, the authors have presented the MHD hybrid nanoliquid flow comprised of CuO and Ag nanoparticles (nps) over a rotating disk under the effects of thermophoresis, Brownian motion, activation energy, heat source and chemical reaction. The flow is considered over a spinning disc with convective conditions. The proposed model is solved with the help of HAM. The convergence of the HAM is also shown in order to verify the convergence of the modeled problem. The effects of embedded parameters on the velocity, energy and mass profiles of the magnetohydrodynamic flow of hybrid nanoliquid are shown with the help of Figures. Also, the effects of embedded parameters on skin friction, heat and mass transfer rate are calculated with the help of Tables. The results showed that the velocity and energy profiles are augmented with the increasing solid volume fraction. The increasing magnetic parameter reduces both the radial and tangential velocities of the hybrid nanofluid flow. The increasing effects of heat source, thermophoresis and Brownian motion factors on energy profiles are found. The increasing influence of thermophoresis and activation energy factors on concentration profile of the hybrid nanofluid flow is found, while the increasing Brownian motion, chemical reaction and Schmidt number reduce the concentration profile.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44826621","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
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium 非达西多孔介质中垂直波状表面上的催化表面反应
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2020-0198
N. C. Roy
{"title":"Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium","authors":"N. C. Roy","doi":"10.1515/ijnsns-2020-0198","DOIUrl":"https://doi.org/10.1515/ijnsns-2020-0198","url":null,"abstract":"Abstract A mathematical model is developed to analyze the free convection flow induced by catalytic surface reaction on a vertical wavy surface embedded in a non-Darcy porous medium. The governing equations are transformed using a generalized transformation which are valid near to and far from the leading edge. We then solve the resulting equations employing finite difference method. A comparison between the present solutions and the results of a past study is made which provides a good agreement. Numerical results reveal that the wall temperature and the surface concentration are enhanced for higher heat release parameter. An increase in the amplitude of the wavy surface and the reactant consumption parameter causes a decrease in the wall temperature and the surface concentration. Due to the increase of the reduced Darcy number the wall temperature substantially becomes higher whereas the surface concentration diminishes. However, a converse characteristic is observed in the case of the activation energy parameter. The momentum, thermal and concentration boundary layers are significantly increased for higher values of the reduced Darcy number and the consumption reactant parameter. Contrary to this, the larger heat release parameter reduces the thicknesses of the momentum, thermal and concentration boundary layers.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41891714","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
Power minimization of gas transmission network in fully transient state using metaheuristic methods 基于元启发式方法的输气管网全暂态功率最小化
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2020-0057
Hamid Reza Moetamedzadeh, Hossein Khodabakhshi Rafsanjani
{"title":"Power minimization of gas transmission network in fully transient state using metaheuristic methods","authors":"Hamid Reza Moetamedzadeh, Hossein Khodabakhshi Rafsanjani","doi":"10.1515/ijnsns-2020-0057","DOIUrl":"https://doi.org/10.1515/ijnsns-2020-0057","url":null,"abstract":"Abstract In gas transmission networks, the pressure drop caused by friction is one of the main operation costs that is compensated through consuming energy in the compressors. In the competitive market of energy, considering the demand variation is inevitable. Hence, the power minimization should be carried out in transient state. Since the minimization problem is severely nonlinear and nonconvex subjected to nonlinear constraints, utilizing a powerful minimization tool with a straightforward procedure is very helpful. In this paper, a novel approach is proposed based on metaheuristic algorithms for power minimization of a gas transmission network in fully transient conditions. The metaheuristic algorithms, unlike the gradient dependent method, can solve the complicated minimization problem without simplification. In the proposed strategy, the cost function is not expressed explicitly as a function of minimization variables; therefore, the transient minimization can be as precise as possible. The minimization is carried out by a straightforward methodology in each time sample, which leads to more precise solutions as compared to the quasi transient minimization. The metaheuristic minimizer, called the particle swarm optimization gravitational search algorithm (PSOGSA), is utilized to find the optimum operating set points. The numerical results also confirm the accuracy and well efficiency of the proposed method.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"23 1","pages":"1017 - 1045"},"PeriodicalIF":1.5,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49427286","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
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems 求解凸可行性和单调包含问题的一种新的自适应惯性cq算法
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0322
C. Enyi, O. Iyiola, Chinedu G. Ezea
{"title":"A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems","authors":"C. Enyi, O. Iyiola, Chinedu G. Ezea","doi":"10.1515/ijnsns-2021-0322","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0322","url":null,"abstract":"Abstract Using a dynamical step size technique, a new self-adaptive CQ-algorithm is proposed in the presence of an inertial term to find the solution of convex feasibility problem and monotone inclusion problem involving a finite number of maximal monotone set valued operators. To do this, in certain Banach spaces, we construct an algorithm which converges to the fixed point of right Bregman strongly nonexpansive mappings and coincidentally solves the convex feasibility and monotone inclusion problems. Strong convergence of the algorithm is achieved without computation of the associated operator norms. Interesting numerical examples which illustrate the implementation and efficiency of our scheme are also given. Results obtained via this work improve and extend on previous results of its kind, in the literature.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45511314","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
Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces Banach空间中的高阶Traub–Steffensen型方法及其收敛性分析
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0202
Deepak Kumar, J. Sharma, Harmandeep Singh
{"title":"Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces","authors":"Deepak Kumar, J. Sharma, Harmandeep Singh","doi":"10.1515/ijnsns-2021-0202","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0202","url":null,"abstract":"Abstract In this paper, we consider two-step fourth-order and three-step sixth-order derivative free iterative methods and study their convergence in Banach spaces to approximate a locally-unique solution of nonlinear equations. Study of convergence analysis provides radius of convergence, error bounds and estimates on the uniqueness of the solution. Such estimates are not provided in the approaches that use Taylor expansions using higher order derivatives. Furthermore, in quest of fast algorithms, a generalized q-step scheme with increasing convergence order 2q + 2 is proposed and analyzed. Novelty of the q-step algorithm is that, in each step, order of convergence is increased by an amount of two at the cost of only one additional function evaluation. To maximize the computational efficiency, the optimal number of steps is calculated. Theoretical results regarding convergence and computational efficiency are verified through numerical experimentation.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"1565 - 1587"},"PeriodicalIF":1.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49356131","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
Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel MHD反应性挤压流体通道热稳定性的谱配点法研究
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0111
E. Titiloye, A. Adeosun, J. Ukaegbu
{"title":"Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel","authors":"E. Titiloye, A. Adeosun, J. Ukaegbu","doi":"10.1515/ijnsns-2021-0111","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0111","url":null,"abstract":"Abstract The current study focuses on the thermal stability of exothermic MHD reactive squeezed fluid flow between parallel plates. The problem’s governing nonlinear partial differential equations are transformed into dimensionless ones. The dimensionless equations obtained are highly nonlinear and are then numerically solved using the spectral collocation method (SCM). The acquired results are verified using Runge–Kutta fourth-fifth order (RK45) combined with shooting method, and a good agreement is achieved. Some graphs and tables are provided to examine the exothermic combustion process by focusing on the effects of emergent kinetic parameters such as activation energy, heat generation, and squeezed flow on the temperature profile and thermal stability of the system. It is discovered that the activation energy parameter tends to minimize the temperature profile while also improving the system’s thermal stability. However, the squeezed parameter and the heat generation rate parameter increase exothermic chemical reactions, causing the system to become unstable.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"1553 - 1563"},"PeriodicalIF":1.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47892986","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 simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet 基于Gegenbauer小波的广义时空分数阶Klein-Gordon方程数值模拟
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0304
M. Faheem, Arshad Khan, Muslim Malik, A. Debbouche
{"title":"Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet","authors":"M. Faheem, Arshad Khan, Muslim Malik, A. Debbouche","doi":"10.1515/ijnsns-2021-0304","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0304","url":null,"abstract":"Abstract This paper investigates numerical solution of generalized space-time fractional Klein–Gordon equations (GSTFKGE) by using Gegenbauer wavelet method (GWM). The developed method makes use of fractional order integral operator (FOIO) for Gegenbauer wavelet, which is constructed by employing the definition of Riemann–Liouville fractional integral (RLFI) operator and Laplace transformation. The present algorithm is based on Gegenbauer wavelet jointly with FOIO to convert a GSTFKGE into a system of equations which is solved by using Newton’s technique. Additionally, the upper bound of error norm of the proposed method is calculated to validate the theoretical authenticity of the developed method. The comparison of numerical outcomes with the existing results in the literature and graphical illustrations show the accuracy and reliability of our method.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48555781","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
A study on solvability of the fourth-order nonlinear boundary value problems 四阶非线性边值问题可解性的研究
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0052
Haide Gou
{"title":"A study on solvability of the fourth-order nonlinear boundary value problems","authors":"Haide Gou","doi":"10.1515/ijnsns-2021-0052","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0052","url":null,"abstract":"Abstract The purpose of the paper is devoted to proving the solvability of the fourth order boundary value problem. Firstly, we build a maximum principle for the corresponding linear equation, by the use of this maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear equation, secondly, the existence and uniqueness results for the problem is obtained. In addition, an example is presented to show the application of our main results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46136725","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
Extended logistic map for encryption of digital images 用于数字图像加密的扩展逻辑映射
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-13 DOI: 10.1515/ijnsns-2022-0028
Hanis Stanley, Amutha Ramachandran
{"title":"Extended logistic map for encryption of digital images","authors":"Hanis Stanley, Amutha Ramachandran","doi":"10.1515/ijnsns-2022-0028","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0028","url":null,"abstract":"Abstract A novel extended logistic map has been proposed and tested mathematically for security-based applications. Because the designed extended logistic map behaves chaotically across a wide range of logistic control parameters, it is extremely difficult to predict using even the most exhaustive search methods. The map overcomes a significant drawback of simple logistic mapping, which is commonly used in encryption algorithms. The chaotic map designed was also used as a key to shuffle the pixel position of the image for the image shuffling algorithm developed. The algorithm developed produced excellent results and is adequate for providing an encrypted image in resource-constrained systems. Performance results show that this map is highly chaotic and provides high security when applied in image encryption systems.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"23 1","pages":"985 - 1000"},"PeriodicalIF":1.5,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48585737","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
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system 一种新的四维忆阻器系统的分岔、混沌和电路实现
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-13 DOI: 10.1515/ijnsns-2021-0393
X. Jiang, Jianhao Li, Bo Li, Wei-shuai Yin, Li Sun, Xiangyong Chen
{"title":"Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system","authors":"X. Jiang, Jianhao Li, Bo Li, Wei-shuai Yin, Li Sun, Xiangyong Chen","doi":"10.1515/ijnsns-2021-0393","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0393","url":null,"abstract":"Abstract This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47101055","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: 13
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