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A New Numerical Method of Estimates of Temperatures along a Thick Steel Slab and Concentrations of Alcohol along a Hollow Tube 一种估算厚钢板温度和空心管酒精浓度的新数值方法
Journal of Applied and Computational Mathematics Pub Date : 2017-07-28 DOI: 10.4172/2168-9679.1000355
Odekunle Mr, Sunday Babuba
{"title":"A New Numerical Method of Estimates of Temperatures along a Thick Steel Slab and Concentrations of Alcohol along a Hollow Tube","authors":"Odekunle Mr, Sunday Babuba","doi":"10.4172/2168-9679.1000355","DOIUrl":"https://doi.org/10.4172/2168-9679.1000355","url":null,"abstract":"A new continuous numerical method based on the approximation of polynomials is here proposed for solving the equation arising from heat transfer along a thick steel slab and a hollow tube subject to initial and boundary conditions. The method results from discretization of the heat equation which leads to the production of a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2017-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87428681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Development of a Procedure for Finding Active Points of LinearConstraints 一种求线性约束活动点的方法的发展
Journal of Applied and Computational Mathematics Pub Date : 2017-05-06 DOI: 10.4172/2168-9679.1000352
S. Chouf
{"title":"Development of a Procedure for Finding Active Points of LinearConstraints","authors":"S. Chouf","doi":"10.4172/2168-9679.1000352","DOIUrl":"https://doi.org/10.4172/2168-9679.1000352","url":null,"abstract":"In this paper, we present an iterative method to determine active point of linear constraints. It is based on two basic operations which are addition and permutation of constraints. This procedure generates a finite sequence of points that basis in a new lemma and a new formula direction, the laspoint of sequence constitutes an active point, and this procedure gives also two matrices. The first one is constituted by the active constraints which are linearly independent and the second one is a matrix whose columns are the basis vectors of the kernel of the first matrix.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"57 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2017-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83636645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Initial and Final Characterized Fuzzy 1 3 2 T and Finer Characterized Fuzzy 12 2 R -Spaces 初始和最终表征模糊1 3 2 T和精细表征模糊12 2 R -空间
Journal of Applied and Computational Mathematics Pub Date : 2017-04-28 DOI: 10.4172/2168-9679.1000350
A. Abd-Allah, A. Al-khedhairi
{"title":"Initial and Final Characterized Fuzzy 1 3 2 T and Finer Characterized Fuzzy 12 2 R -Spaces","authors":"A. Abd-Allah, A. Al-khedhairi","doi":"10.4172/2168-9679.1000350","DOIUrl":"https://doi.org/10.4172/2168-9679.1000350","url":null,"abstract":"Basic notions related to the characterized fuzzy 1 2 2 R and characterized fuzzy 1 3 2 T -spaces are introduced and studied. The metrizable characterized fuzzy spaces are classified by the characterized fuzzy 1 2 2 R and the characterized fuzzy T4-spaces in our sense. The induced characterized fuzzy space is characterized by the characterized fuzzy 1 3 2 T and characterized fuzzy 1 3 2 T -space if and only if the related ordinary topological space is 1 2, 2 R I• 12 -space and 1 3, 2 T I• 12 -space, respectively. Moreover, the α-level and the initial characterized spaces are characterized 1 2 2 R and characterized 1 3 2 T -spaces if the related characterized fuzzy space is characterized fuzzy 12 2 R and characterized fuzzy 1 3 2 T , respectively. The categories of all characterized fuzzy 1 2 2 R and of all characterized fuzzy 1 3 2 T -spaces will be denoted by CFR-Space and CRF-Tych and they are concrete categories. These categories are full subcategories of the category CF-Space of all characterized fuzzy spaces, which are topological over the category SET of all subsets and hence all the initial and final lifts exist uniquely in CFR-Space and CRF-Tych. That is, all the initial and final characterized fuzzy 1 2 2 R spaces and all the initial and final characterized fuzzy 1 3 2 T -spaces exist in CFR-Space and in CRF-Tych. The initial and final characterized fuzzy spaces of a characterized fuzzy 1 2 2 R -space and of a characterized fuzzy 1 3 2 T -space are characterized fuzzy 1 2 2 R and characterized fuzzy 1 3 2 T -spaces, respectively. As special cases, the characterized fuzzy subspace, characterized fuzzy product space, characterized fuzzy quotient space and characterized fuzzy sum space of a characterized fuzzy 1 2 2 R -space and of a characterized fuzzy 1 3 2 T -space are also characterized fuzzy 1 2 2 R and characterized fuzzy 1 3 2 T -spaces, respectively. Finally, three finer characterized fuzzy 1 2 2 R -spaces and three finer characterized fuzzy 1 3 2 T -spaces are introduced and studied.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84206142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of Prey-Predator Model with Holling type Response Function and Selective Harvesting 具有Holling型响应函数和选择性收获的捕食-捕食模型的稳定性
Journal of Applied and Computational Mathematics Pub Date : 2017-04-10 DOI: 10.4172/2168-9679.1000358
Jha Pk, Ghorai S
{"title":"Stability of Prey-Predator Model with Holling type Response Function and Selective Harvesting","authors":"Jha Pk, Ghorai S","doi":"10.4172/2168-9679.1000358","DOIUrl":"https://doi.org/10.4172/2168-9679.1000358","url":null,"abstract":"The use of mathematical models in prey predator interplay is common to solve the interdisciplinary natural problems. This paper reports analytical advancement of measuring selective harvesting activity of prey proportional to their population size and studied the stability of the model using Holling type functional response. In this paper, we analysed four prey-predatory model and considered prey and predator as a X and Y axis respectively followed by applied variational matrix and Holling I and II type response function for equilibrium and local stability measurement. Simulation experiments were carried out. Further, numerical analysis was done with help of MATLAB packages at MS window 7. Analysis of result showed prey and predator population converges asymptotically to their equilibrium values when t (time) tends to infinity and corresponding spiral phase portraits obtained. Interestingly analysis of result showed the behaviour of prey and predator with respect to time and phase portrait of the system near the equilibrium point. Above analysis indicated that application of vibrational matrix and holing type response function give better understand ability of prey predator interplay of biological forces","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"10 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2017-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89986094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Green’s Function Solution of Non-Homogenous Regular Sturm-Liouville Problem 非齐次正则Sturm-Liouville问题的Green函数解
Journal of Applied and Computational Mathematics Pub Date : 2017-04-10 DOI: 10.4172/2168-9679.1000362
A. A. Hassana
{"title":"Green’s Function Solution of Non-Homogenous Regular Sturm-Liouville Problem","authors":"A. A. Hassana","doi":"10.4172/2168-9679.1000362","DOIUrl":"https://doi.org/10.4172/2168-9679.1000362","url":null,"abstract":"In this paper, we propose a new method called exp(−I•(ξ)) fractional expansion method to seek traveling wave solutions of the nonlinear fractional Sharma-Tasso-Olver equation. The result reveals that the method together with the new fractional ordinary differential equation is a very ini¬‚uential and effective tool for solving nonlinear fractional partial differential equations in mathematical physics and engineering. The obtained solutions have been articulated by the hyperbolic functions, trigonometric functions and rational functions with arbitrary constants","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80267034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Studying of Random Cauchy Convection Diffusion Models under Mean Square and Mean Fourth Calculus 均方和均四阶微积分下随机柯西对流扩散模型的研究
Journal of Applied and Computational Mathematics Pub Date : 2017-03-30 DOI: 10.4172/2168-9679.1000343
Sohalya Ma, Yassena Mt, Elbaza Im
{"title":"The Studying of Random Cauchy Convection Diffusion Models under Mean Square and Mean Fourth Calculus","authors":"Sohalya Ma, Yassena Mt, Elbaza Im","doi":"10.4172/2168-9679.1000343","DOIUrl":"https://doi.org/10.4172/2168-9679.1000343","url":null,"abstract":"The random partial differential equations have a wide range of physical, chemical, and biological applications. The finite difference method offers an attractively simple approximations for these equations. In this paper, the finite difference technique is performed in order to find an approximation solutions for the linear one dimensional convection-diffusion equation with random variable coefficient. We study the consistency and stability of the finite difference scheme under mean square sense. A statistical measure such as mean for the numerical approximation, and the exact solution based on different statistical distributions is computed.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"117 4 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2017-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89159055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solving Nonlinear Integral Equations by using Adomian DecompositionMethod 用Adomian分解法求解非线性积分方程
Journal of Applied and Computational Mathematics Pub Date : 2017-03-24 DOI: 10.4172/2168-9679.1000346
M. Hasan, A. Matin
{"title":"Solving Nonlinear Integral Equations by using Adomian DecompositionMethod","authors":"M. Hasan, A. Matin","doi":"10.4172/2168-9679.1000346","DOIUrl":"https://doi.org/10.4172/2168-9679.1000346","url":null,"abstract":"In this paper, we propose a numerical method to solve the nonlinear integral equation of the second kind. We intend to approximate the solution of this equation by Adomian decomposition method using He’s polynomials. Several examples are given at the end of this paper with the exact solution is known. Also the error is estimated.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"20 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2017-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79908343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Laying Chicken Algorithm: A New Meta-Heuristic Approach to Solve Continuous Programming Problems 蛋鸡算法:求解连续规划问题的一种新的元启发式方法
Journal of Applied and Computational Mathematics Pub Date : 2017-03-21 DOI: 10.4172/2168-9679.1000344
E. Hosseini
{"title":"Laying Chicken Algorithm: A New Meta-Heuristic Approach to Solve Continuous Programming Problems","authors":"E. Hosseini","doi":"10.4172/2168-9679.1000344","DOIUrl":"https://doi.org/10.4172/2168-9679.1000344","url":null,"abstract":"A concept for the optimization of continuous programming problems using an approach based on behavior of laying chicken, to produce chicken, is introduced. Laying chicken algorithm (LCA) is used for solving different kinds of linear and non-linear programming problems. The presented approach gives efficient and feasible solutions in an appropriate time which has been evaluated by solving test problems. The comparison between LCA and both of meta-heuristic and classic approaches are proposed.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"3 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2017-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86917415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
From Monge-Ampere-Boltzman to Euler Equations 从蒙日-安培-玻尔兹曼方程到欧拉方程
Journal of Applied and Computational Mathematics Pub Date : 2017-02-28 DOI: 10.4172/2168-9679.1000341
B. Fethi
{"title":"From Monge-Ampere-Boltzman to Euler Equations","authors":"B. Fethi","doi":"10.4172/2168-9679.1000341","DOIUrl":"https://doi.org/10.4172/2168-9679.1000341","url":null,"abstract":"This paper concerns with the convergence of the Monge-Ampere-Boltzman system to the in compressible Euler Equations in the quasi-neutral regime.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"327 ","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2017-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91456677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Statistical Process Capability Design to Improve Process Stability of a Molding Machine 统计工艺能力设计提高成型机工艺稳定性
Journal of Applied and Computational Mathematics Pub Date : 2017-02-28 DOI: 10.4172/2168-9679.1000340
Joseph Ka
{"title":"Statistical Process Capability Design to Improve Process Stability of a Molding Machine","authors":"Joseph Ka","doi":"10.4172/2168-9679.1000340","DOIUrl":"https://doi.org/10.4172/2168-9679.1000340","url":null,"abstract":"Justification of production and manufacturing processes overtime, process capability in the concept of statistical control has been of great importance because it has promoted the production of products that satisfy the expectation of consumers. This paper aimed at promoting the adoption of quality process capability design in a bid to improve the process stability of a process and improve the process performance in the long run of production. In ensuring this, the technique of design of experiment is adopted using factorial design after which the capability analysis was carried out on the data on plastic containers produced by molding machines as deduced from the control X-bar and Range charts, it was established that the process was observed to be stable and in a state of statistical quality control and the plastic containers produced were observed to differ from one another as a result of variation on the part of the operators of the molding machines.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"13 3","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2017-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91418646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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