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Analysis of the Fractional Integrodifferentiability of Power Functions and Hypergeometric Representation 幂函数的分数阶积分可微性分析及超几何表示
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000428
FG Rodrigues, Capelas de Oliveira
{"title":"Analysis of the Fractional Integrodifferentiability of Power Functions and Hypergeometric Representation","authors":"FG Rodrigues, Capelas de Oliveira","doi":"10.4172/2168-9679.1000428","DOIUrl":"https://doi.org/10.4172/2168-9679.1000428","url":null,"abstract":"In this work we show that it is possible to calculate the fractional integrals and derivatives of order (using the Riemann-Liouville formulation) of power functions (t-*)β with β being any real value, so long as one pays attention to the proper choice of the lower and upper limits according to the original functions domain. We, therefore, obtain valid expressions that are described in terms of function series of the type (t-*)± α+k and we also show that they are related to the famous hypergeometric functions of the Mathematical-Physics.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"42 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90515990","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
A New Number Theory: Considerations about the (3-n)d Algebra 一个新的数论:关于(3-n)d代数的思考
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000427
L. Sonaglioni
{"title":"A New Number Theory: Considerations about the (3-n)d Algebra","authors":"L. Sonaglioni","doi":"10.4172/2168-9679.1000427","DOIUrl":"https://doi.org/10.4172/2168-9679.1000427","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83035973","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: 1
Application of the Boundary Element Method Using Time Discretization to the Advection-Convection Equation 时间离散化边界元法在平流-对流方程中的应用
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000426
R. Mwesigwa, G. Kakuba
{"title":"Application of the Boundary Element Method Using Time Discretization to the Advection-Convection Equation","authors":"R. Mwesigwa, G. Kakuba","doi":"10.4172/2168-9679.1000426","DOIUrl":"https://doi.org/10.4172/2168-9679.1000426","url":null,"abstract":"The boundary element method is a numerical computational method of solving partial differential equations which have been formulated as integral equations. It can be applied in many areas of engineering and science including fluid mechanics, acoustics, electromagnetics, and fracture mechanics. The method can be seen as a weighted residual method for solving partial differential equations, characterized by choosing an appropriate fundamental solution as a weighting function and by using the generalized Green’s formula for complete transfer of one or more partial differential operators on the weighting function. Time discretization approach requires replacing the partial derivative of the equation that involves time with a finite difference approximation, and the resulting equation now has one variable x with t becoming a constant. In this paper the advection-diffusion equation has been formulated using time discretization approach of the boundary element method. The fundamental solution of the elliptic operator has been constructed, and test examples provided.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"72 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86149120","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
Effect of Constant Wall Permeability and Porous Media on the Creeping Flow through Round Vessel 恒壁透性和多孔介质对圆容器蠕变流动的影响
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000399
Siddiqui Am, S. Siddiqa, Naqvi As
{"title":"Effect of Constant Wall Permeability and Porous Media on the Creeping Flow through Round Vessel","authors":"Siddiqui Am, S. Siddiqa, Naqvi As","doi":"10.4172/2168-9679.1000399","DOIUrl":"https://doi.org/10.4172/2168-9679.1000399","url":null,"abstract":"The present study reports the influence of constant wall permeability and porous media on the creeping flow passing through round vessel. The inverse method is used to obtain the exact solution. To understand the behaviour of flow, the mathematical expression for stream function, velocity components, wall shear stress, pressure distribution, flow rate and leakage flux are provided. Our main purpose here is to demonstrate the constant permeability of the wall and of porous media on the existence of flow properties because of its applicability \"flow through permeable renal disease tubule\" in biological sciences. Flow properties at an entrance, mid place and at exit are discussed graphically for involved parameters and it is observed that low permeability of porous medium slow down the velocity of fluid along axial coordinate while minor change is observed along radial coordinate. While constant wall permeability shows the opposite behaviour on the same properties. Fractional permeation rate from the diseased vessel, wall permeation velocity, pressure drop and leakage flow rate are tabulated for physiological data of rat kidney. It is observed that for increasing wall permeability and high osmotic pressure drop provided maximum fractional permeation rate 84%. It is also noted that leakage flow and the amount of permeate fluid are independent of porosity of porous media, they only depend on the constant wall permeability. Comparison of the present study with the previous work in view of fractional permeation rate is also provided in the results section.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"78 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77675137","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: 6
Collocation Method Based on Bernoulli Polynomial and Shifted Chebychev for Solving the Bratu Equation 求解Bratu方程的基于Bernoulli多项式和移位Chebychev的配置方法
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000407
M. El-Gamel, W. Adel, M. El-Azab
{"title":"Collocation Method Based on Bernoulli Polynomial and Shifted Chebychev for Solving the Bratu Equation","authors":"M. El-Gamel, W. Adel, M. El-Azab","doi":"10.4172/2168-9679.1000407","DOIUrl":"https://doi.org/10.4172/2168-9679.1000407","url":null,"abstract":"In this work, Bernoulli-collocation method is proposed for solving nonlinear Bratu's type equations. The operational matrix of derivative of Bernoulli is introduced. The matrix together with the collocation method are then utilized to reduce the problem into a system of nonlinear algebraic equations. Also, a reliable approach for solving this nonlinear system is discussed. Numerical results and comparisons with other existing methods provided in the literature are made. Citation: EL-Gamel M, Adel W, EL-Azab MS (2018) Collocation Method Based on Bernoulli Polynomial and Shifted Chebychev for Solving the Bratu Equation. J Appl Computat Math 7: 407. doi: 10.4172/2168-9679.1000407","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"48 2 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77803272","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: 11
Effect of Temperature on Atomic Scattering Curve 温度对原子散射曲线的影响
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000417
Haque Mm, Hasan Mm, Islam Mm
{"title":"Effect of Temperature on Atomic Scattering Curve","authors":"Haque Mm, Hasan Mm, Islam Mm","doi":"10.4172/2168-9679.1000417","DOIUrl":"https://doi.org/10.4172/2168-9679.1000417","url":null,"abstract":"We have calculated the temperature dependence of the atomic scattering curve for the elements Si, C, Pt and Cu. At first we have drawn the general atomic scattering curve for the above elements. A quantity ‘f’, the atomic scattering factor, is said to describe the ‘efficiency’ of scattering of a given atom in a given direction. The actual calculation of ‘f’ involves sin θ, rather than θ, so that the net effect is that ‘f’ decreases as the quantity (sin θ)/λ increases. Secondly, we have considered Debye temperature factor using Debye model. And we observe that for Debye approximation, the curve decreases a little bit. Citation: Haque MM, Hasan MM, Islam MM (2018) Effect of Temperature on Atomic Scattering Curve. J Appl Computat Math 7: 417. doi: 10.4172/21689679.1000417","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89572622","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
On the Dirichlet Eta Function 关于狄利克雷函数
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000420
M. Azkour
{"title":"On the Dirichlet Eta Function","authors":"M. Azkour","doi":"10.4172/2168-9679.1000420","DOIUrl":"https://doi.org/10.4172/2168-9679.1000420","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91504405","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: 4
Automatic Pick and Place Robot Manipulation Using a Microcontroller 基于单片机的机器人自动取放操作
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000408
Manjula Vs, Karamagi Ri
{"title":"Automatic Pick and Place Robot Manipulation Using a Microcontroller","authors":"Manjula Vs, Karamagi Ri","doi":"10.4172/2168-9679.1000408","DOIUrl":"https://doi.org/10.4172/2168-9679.1000408","url":null,"abstract":"Robots are versatile instruments of technology that work to make the life of human beings easy. The perceptive visualizations of a task being done are theorized and modeled into real-time algorithmic executions. Pick and place systems are highly advantageous due to their consistency, accuracy, precision, repeatability, reliability, resolution and efficiency. A robot arm is fixed to a base and operates in its workspace to achieve the migration towards its pick location. It opens its gripper upon arrival to grasp the object and move with it to the depot location. Upon arrival at the destination it opens its claws to release the object. The microcontroller sets the servo motors to rotate at calibrated angles that place the arm at the desired position in space and time to commit to the task. The dawn of todays research across the horizon of computing shall bring rise to the apocalypse that shall abominate all barriers of robotic development.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"8 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81130727","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: 6
Distortion Operator of Uncertainty Claim Pricing Using Weibull Distortion Operator 不确定性索赔定价的威布尔失真算子
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000425
Oyetunde Aa
{"title":"Distortion Operator of Uncertainty Claim Pricing Using Weibull Distortion Operator","authors":"Oyetunde Aa","doi":"10.4172/2168-9679.1000425","DOIUrl":"https://doi.org/10.4172/2168-9679.1000425","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75538082","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: 1
A New [ 14 8 3 ]-Linear Code From the Aunu Generated [ 7 4 2 ] -Linear Code and the Known [7 4 3 ] Hamming Code Using the (U|U+V) Construction 用(U|U+V)构造从Aunu生成的[14 8 3]-线性码[7 4 2]-线性码与已知的[7 4 3]汉明码
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000379
Ibrahim Aa, Chun Pb, Kamoh Nm
{"title":"A New [ 14 8 3 ]-Linear Code From the Aunu Generated [ 7 4 2 ] -Linear Code and the Known [7 4 3 ] Hamming Code Using the (U|U+V) Construction","authors":"Ibrahim Aa, Chun Pb, Kamoh Nm","doi":"10.4172/2168-9679.1000379","DOIUrl":"https://doi.org/10.4172/2168-9679.1000379","url":null,"abstract":"In this communication, we enumerate the construction of a [ 7 4 2 ]- linear code which is an extended code of the [ 6 4 1 ] code and is in one-one correspondence with the known [ 7 4 3 ] - Hamming code. Our construction is due to the Carley table for n=7of the generated points of was permutations of the (132) and (123)-avoiding patterns of the non-associative AUNU schemes. Next, [ 7 4 2 ] linear code so constructed is combined with the known Hamming [ 7 4 3 ] code using the ( u|u+v)-construction to obtain a new hybrid and more practical single [14 8 3 ] error- correcting code.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"39 1","pages":"1-3"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79179482","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
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