{"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}
{"title":"New Types of 2D-Integrodifferential Equations and Their Properties","authors":"N. Gossili, S. Shahmorad","doi":"10.4172/2168-9679.1000354","DOIUrl":"https://doi.org/10.4172/2168-9679.1000354","url":null,"abstract":"In this paper, we present new type of 2D-volttera integrodifferential equations and study the existence, uniqueness and some other useful properties of solution of these equations. The main tools are based on application of the Banach fixed point theorem.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"115 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2017-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75742852","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}
{"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}
{"title":"The Power Approximation of Time Series with Using Fractional Brownian Motion","authors":"Bondarenko","doi":"10.4172/2168-9679.1000353","DOIUrl":"https://doi.org/10.4172/2168-9679.1000353","url":null,"abstract":"We propose the approximating sequence and some of characteristics of this sequence to coincide with the increments of the fractional Brownian motion (fractional Browniannoise) for the observed time series. We study the Hurst parameter estimation algorithm and check the quality of the approximation.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"21 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2017-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73431871","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}
{"title":"Symmetric 2-Step 4-Point Hybrid Method for the Solution of General Third Order Differential Equations","authors":"Kayode Sj, Obarhua Fo","doi":"10.4172/2168-9679.1000348","DOIUrl":"https://doi.org/10.4172/2168-9679.1000348","url":null,"abstract":"This research considers a symmetric hybrid continuous linear multistep method for the solution of general third order ordinary differential equations. The method is generated by interpolation and collocation approach using a combination of power series and exponential function as basis function. The approximate basis function is interpolated at both grid and off-grid points but the collocation of the differential function is only at the grid points. The derived method was found to be symmetric, consistent, zero stable and of order six with low error constant. Accuracy of the method was confirmed by implementing the method on linear and non-linear test problems. The results show better performance over known existing methods solved with the same third order problems. AMS 2010 Subject Classification: 65D05; 65L05; 65L06","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"18 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2017-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79964580","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}
{"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}
{"title":"Modeling of Tea Production in Bangladesh Using Autoregressive Integrated Moving Average (ARIMA) Model","authors":"Abdur Rahman","doi":"10.4172/2168-9679.1000349","DOIUrl":"https://doi.org/10.4172/2168-9679.1000349","url":null,"abstract":"In the present paper, different Autoregressive Integrated Moving Average (ARIMA) models were developed to forecast the tea production by using time series data of twenty-four years from 1990-2013. The performance of these developed models was assessed with the help of different selection measure criteria and the model having minimum value of these criteria considered as the best forecasting model. Based on findings, it has been observed that out of eleven ARIMA models, ARIMA (1,1,2) is the best fitted model in predicting the production of tea in Bangladesh and the forecasted value of tea production in Bangladesh, for the year 2014, 2015 and 2016 as obtained from ARIMA (1,1,2) was obtained as 65.568 Million Kilogram, 67.867 Million Kilogram and 60.997 Million Kilogram.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87135764","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}
{"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}
{"title":"On Application of Development of Test Statistic for Testing Unequal Group Variances","authors":"JA Kupolusi","doi":"10.4172/2168-9679.1000359","DOIUrl":"https://doi.org/10.4172/2168-9679.1000359","url":null,"abstract":"In this paper, an already proposed test-statistic for testing equality of means under unequal population variances is applied. When the group variances differ, using pooled sample variance will give an inappropriate result as a single value for the variances. This kind of problem in statistics is commonly referred to as Brehen-Fisher problem in the k-sample location problems. A proposed unbiased sample harmonic mean of variances 2 HS was examined and found useful for unequal variances which have received a considerable attention in the area of medical and biological sciences. Little or nothing has been achieved in social sciences that form a major part of this work. Data from the six geopolitical zones on road crashes in Nigeria from the year 2004 to 2013 was used to ascertain the consistency of the result with the literature which was found useful and relevant for the proposed developed test statistic. It was observed that using this proposed test statistic, the number of road crashes was significant in some geopolitical zones in Nigeria which was ordinarily latent to pool sample variance.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"38 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2017-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84323286","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}
{"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}