Journal of the Nigerian Mathematical Society最新文献_第2页

Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method 一类四阶奇异奇摄动边值问题的五次b样条解法

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.03.002

Ram Kishun Lodhi, Hradyesh Kumar Mishra

引用次数: 18

The efficiency of second derivative multistep methods for the numerical integration of stiff systems 二阶导数多步法求解刚性系统数值积分的效率

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.02.002

D.G. Yakubu , S. Markus

{"title":"The efficiency of second derivative multistep methods for the numerical integration of stiff systems","authors":"D.G. Yakubu , S. Markus","doi":"10.1016/j.jnnms.2016.02.002","DOIUrl":"10.1016/j.jnnms.2016.02.002","url":null,"abstract":"<div><p>A substantial increase in efficiency is achieved by the numerical integration methods which take advantage of the second derivative terms of the differential equation to be solved. The second-derivative of high order accuracy methods are stable, convergent and hence suitable for the numerical integration of stiff systems of initial value problems in ordinary differential equations. The unique feature of the paper is the idea of using all the set of collocation points as additional interpolation points. This desirable feature of the proposed approach actually widens the applicability of the methods, to include many other types of numerical integration methods and has many advantages, including didactic advantages. Furthermore, in this formulation symmetry is retained naturally by the integration identities as equal areas under the various segments of the solution curves over the integration interval. In this way the problem of overlap of solution models usually associated with multistep finite difference methods is overcome. The applications of the second derivative multistep integration methods on a significant class of problems found in the literature produce accurate solutions with low computational cost. Comparison of the efficiency curves obtained seems to be in better agreement with the exact solutions.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 107-127"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.02.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89783314","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: 9

Impact of velocity slip and joule heating on MHD peristaltic flow through a porous medium with chemical reaction 速度滑移和焦耳加热对多孔介质化学反应中MHD蠕动流动的影响

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.02.005

Gnaneswara Reddy Machireddy, Venugopal Reddy Kattamreddy

引用次数: 44

Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity 恒定涡流粘度下变动黏度和导热系数微极流体滞止点流动的熔融换热效应

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2015.06.004

Sunday Kolawole Adegbie, Olubode Kolade Kọrikọ, Isaac Lare Animasaun

{"title":"Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity","authors":"Sunday Kolawole Adegbie, Olubode Kolade Kọrikọ, Isaac Lare Animasaun","doi":"10.1016/j.jnnms.2015.06.004","DOIUrl":"10.1016/j.jnnms.2015.06.004","url":null,"abstract":"<div><p>The two dimensional boundary layer flow of micropolar fluid towards stagnation point formed on a horizontal linearly stretching surface is investigated. Melting heat transfer at the surface, temperature and exponentially space dependent internal heat generation within fluid domain are considered. It is assumed that dynamic viscosity and thermal conductivity are temperature dependent while micropolar vortex viscosity is constant. These assumptions are discussed. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of melting heat transfer following all the necessary theories. Similarity transformations are used to convert the governing equations into non-linear boundary value problem and solved numerically. Effects of various parameters on the micropolar fluid flow and heat transfer are analyzed. The results reveal that one of the possible ways to increase transverse velocity of micropolar fluid flow over melting surface is to consider variable thermo-physical property of micropolar fluid at constant vortex viscosity with a decrease in melting parameter while velocity ratio increases. For correct analysis/investigation of micropolar fluid flow with variable properties over melting surface, the new thermo-physical models are to be considered. The velocity increases with the increase of velocity ratio under the new condition compare to classical condition (constant thermo-physical property) of micropolar fluid flow over melting surface.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 34-47"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.06.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91467958","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: 48

Effects of diffusion-thermo and thermo-diffusion on two-phase boundary layer flow past a stretching sheet with fluid-particle suspension and chemical reaction: A numerical study 扩散-热和热-扩散对两相边界层流体-颗粒悬浮和化学反应的影响:数值研究

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2015.10.003

K.L. Krupa Lakshmi , B.J. Gireesha , Rama.S.R. Gorla , B. Mahanthesh

{"title":"Effects of diffusion-thermo and thermo-diffusion on two-phase boundary layer flow past a stretching sheet with fluid-particle suspension and chemical reaction: A numerical study","authors":"K.L. Krupa Lakshmi , B.J. Gireesha , Rama.S.R. Gorla , B. Mahanthesh","doi":"10.1016/j.jnnms.2015.10.003","DOIUrl":"10.1016/j.jnnms.2015.10.003","url":null,"abstract":"<div><p>A numerical investigation on laminar boundary layer flow, heat and mass transfer of two-phase particulate suspension induced by a linearly stretching sheet is carried out. In the mathematical formulation both the fluid and particle phases are treated as two separate interacting continua. The effects of magnetic field, diffusion-thermo, thermal-diffusion, thermal radiation and first order chemical reaction are taken into the account. The relevant governing partial differential equations corresponding to the momentum, energy and concentration are transformed into a system of non-linear ordinary differential equations with the help of appropriate similarity transformations and then solved numerically using Runge–Kutta-Fehlberg fourth fifth order method along with shooting scheme. The effects of the relevant physical parameters on the flow, heat and mass transfer characteristics of both fluid and particle phases were numerically obtained and discussed in detail. It is found that, the momentum, thermal and solute boundary layer thickness decreases with increasing the particles loading.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 66-81"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.10.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86075588","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: 38

Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density 非牛顿幂律纳米流体通过变密度移动垂直板的磁流体动力混合对流

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.03.001

Macha Madhu, Naikoti Kishan

{"title":"Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density","authors":"Macha Madhu, Naikoti Kishan","doi":"10.1016/j.jnnms.2016.03.001","DOIUrl":"10.1016/j.jnnms.2016.03.001","url":null,"abstract":"<div><p>Present paper investigates the magnetohydrodynamic boundary layer mixed convection flow over a moving vertical plate in a non-Newtonian power-law nanofluid with variable density. The governing partial differential equations are transformed into a ordinary differential equations by suitable similarity transformations. The system of coupled non-linear ordinary differential equations are solved numerically using variational finite element method. The solutions for the flow and heat transfer characteristics are computed numerically for various values of flow controlling parameters. Investigation predict that an increase in the values of magnetic field parameter and thermophoresis parameter is to enhance the temperature and nanoparticle volume fraction profiles. Increasing power-law index reduces the velocity, temperature and nanoparticle volume fraction profiles. An increase in the Brownian motion and Lewis number is reduces the nanoparticle volume fraction profiles and temperature field is decreases with increasing Pradtl number. An increase in power-law index and thermophoresis is found to be increase in the skin friction co-efficient but decrease in the heat transfer co-efficient.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 199-207"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.03.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84004911","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: 14

Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach 具有温度依赖粘度的多孔介质中流体稳态MHD对流的Dufour和soret效应:同伦分析方法

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.08.001

A.J. Omowaye, A.I. Fagbade, A.O. Ajayi

引用次数: 27

On common fixed points and multipled fixed points of contractive mappings in metric-type spaces 度量型空间中压缩映射的公共不动点与多重不动点

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.06.001

Hallowed Olaoluwa, Johnson Olaleru

引用次数: 4

Numerical solution of heat conduction problems using orthogonal collocation on finite elements 热传导问题的有限元正交配置数值解

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.10.001

Shelly Arora , Inderpreet Kaur

引用次数: 6

Temperature dependent viscosity and thermal conductivity effects on hydromagnetic flow over a slendering stretching sheet 温度依赖性粘度和热导率对细长拉伸板上磁流的影响

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.07.002

S.P. Anjali Devi, M. Prakash

{"title":"Temperature dependent viscosity and thermal conductivity effects on hydromagnetic flow over a slendering stretching sheet","authors":"S.P. Anjali Devi, M. Prakash","doi":"10.1016/j.jnnms.2015.07.002","DOIUrl":"10.1016/j.jnnms.2015.07.002","url":null,"abstract":"<div><p>The primary focus of this work is to numerically investigate the influence of temperature dependent viscosity and thermal conductivity on hydromagnetic flow over slendering stretching sheet. In the process held at high temperature like glass blowing, the fluid properties like viscosity and thermal conductivity may gets influenced in such temperature which motivated us to analyze those kind of problem. Considering steady, two dimensional, nonlinear, laminar flow of an incompressible, viscous and electrically conducting fluid over a stretching sheet with variable thickness in the presence of variable magnetic field. Numerical computations are carried out for various values of the physical parameters and the effects over the velocity and temperature are analyzed. Numerical values of dimensionless skin friction coefficient and non-dimensional rate of heat transfer are also obtained and presented in tabulated form. It is noticed that, in additional to the magnetic field there are two more regulators which can manipulate to maintain the optimal heat for the glass blowing process to attain required shapes.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 3","pages":"Pages 318-330"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.07.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88776795","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: 79