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Mathematically Describing Planetary Orbits in Two Dimensions 用数学方法描述二维行星轨道
Journal of Applied and Computational Mathematics Pub Date : 2018-01-01 DOI: 10.4172/2168-9679.1000414
Ramanakumar V
{"title":"Mathematically Describing Planetary Orbits in Two Dimensions","authors":"Ramanakumar V","doi":"10.4172/2168-9679.1000414","DOIUrl":"https://doi.org/10.4172/2168-9679.1000414","url":null,"abstract":"This article describes use of Mathcad mathematical package to solve problem of the motion of two, three and four material points under the influence of gravitational forces on the planar motion and in three-dimensional space. The limits of accuracy of numerical methods for solving ordinary differential equations are discussed. Usual concept of Kepler hours with uneven movement arrows in planet. Projectile motion may be thought of as an example of motion in space-that is to say, of three-dimensional motion rather than motion along a line, or one-dimensional motion. In a suitably defined system of Cartesian coordinates, the position of the projectile at any instant may be specified by giving the values of its three coordinates, x(t), y(t), and z(t). Citation: Ramanakumar V (2018) Mathematically Describing Planetary Orbits in Two Dimensions. J Appl Computat Math 7: 414. doi: 10.4172/21689679.1000414","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"123 25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82320232","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
Combining Rational Approximation with Asymptotic Wiener–Hopf Factorization Algorithm for Matrix Functions: Implementation and Testing 矩阵函数的有理逼近与渐近Wiener-Hopf分解算法的结合:实现与检验
Journal of Applied and Computational Mathematics Pub Date : 2017-12-01 DOI: 10.4172/2168-9679.1000374
T. Rougerie, A. Kisil
{"title":"Combining Rational Approximation with Asymptotic Wiener–Hopf Factorization Algorithm for Matrix Functions: Implementation and Testing","authors":"T. Rougerie, A. Kisil","doi":"10.4172/2168-9679.1000374","DOIUrl":"https://doi.org/10.4172/2168-9679.1000374","url":null,"abstract":"This paper discusses how an asymptotic Wiener–Hopf factorization can be implemented for a wide class of functions. Asymptotic Wiener–Hopf factorization was discussed [19] and the convergence for matrices sufficiently close to the identity matrix is shown. We demonstrate how the algorithm can be successfully implemented with the help of the rational approximations. The idea is to simplify the matrix first by rationally approximating and then perform the approximate factorisation. There is no compromise in accuracy since the factorisation is approximate anyway and rational approximations are very precise usually. There is also a mapping of real line discussed and implemented to make the rational approximation more optimal. The code is tested against some easy examples which are calculated by hand. The use of this code is illustrated with some more complicated matrix functions motivated by applications. The method has been implemented for 2 × 2 and 4 × 4 matrices but can easy be adapted for any size matrix. The code will be made available with the publication of this paper. We note that to date there are very few implemented Wiener–Hopf factorisation available due to instabilities, so this paper will make an important contribution to this area.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"41 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81415955","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
Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by using Modified Decomposition Method 用改进分解法求解模糊非线性积分方程组的数值解
Journal of Applied and Computational Mathematics Pub Date : 2017-11-28 DOI: 10.4172/2168-9679.1000365
Alan Jalal Abdulqader
{"title":"Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by using Modified Decomposition Method","authors":"Alan Jalal Abdulqader","doi":"10.4172/2168-9679.1000365","DOIUrl":"https://doi.org/10.4172/2168-9679.1000365","url":null,"abstract":"In this paper, we intend to offer system of fuzzy nonlinear integral equation also numerical scheme to solve. By using the new and fast technique to solve our problem. We try to discuss some numerical aspects such as convergence and error analysis. Finally, accuracy and applicability of the proposed methods are carried out along with comparisons using some numerical examples.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2017-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72850202","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
On the Oscillations of Nonlinear Third Order Neutral Differential Equations 非线性三阶中立型微分方程的振动问题
Journal of Applied and Computational Mathematics Pub Date : 2017-09-27 DOI: 10.4172/2168-9679.1000361
El-Sheikh Mma, S. Ra, S. Salem
{"title":"On the Oscillations of Nonlinear Third Order Neutral Differential Equations","authors":"El-Sheikh Mma, S. Ra, S. Salem","doi":"10.4172/2168-9679.1000361","DOIUrl":"https://doi.org/10.4172/2168-9679.1000361","url":null,"abstract":"This paper is concerned with the oscillation of solutions of a class of third order nonlinear neutral differential equations. New sufficient conditions guarantee that every solution is either oscillatory or tends to zero are given. The obtained results improve some recent published results in the literature. Some illustrative examples are given.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"61 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2017-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80629816","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
Regularity of Solutions of Degenerate Parabolic Non-linear Equations and Removability of Solutions 退化抛物型非线性方程解的正则性及解的可移性
Journal of Applied and Computational Mathematics Pub Date : 2017-08-31 DOI: 10.4172/2168-9679.1000364
Gadjiev Ts, A. Yangaliyeva, G. Zulfalieva
{"title":"Regularity of Solutions of Degenerate Parabolic Non-linear Equations and Removability of Solutions","authors":"Gadjiev Ts, A. Yangaliyeva, G. Zulfalieva","doi":"10.4172/2168-9679.1000364","DOIUrl":"https://doi.org/10.4172/2168-9679.1000364","url":null,"abstract":"In this paper we prove regularity of solutions of degenerate parabolic nonlinear equations. We also the proof of a removability theorem for solutions to degenerate parabolic nonlinear equations.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82725835","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
Univalence Criteria for General Integral Operators using the Struve and Bessel Functions 利用Struve和Bessel函数的一般积分算子的一性判据
Journal of Applied and Computational Mathematics Pub Date : 2017-08-13 DOI: 10.4172/2168-9679.1000366
Breaz Daniel, Tanase Carmen-Ioana
{"title":"Univalence Criteria for General Integral Operators using the Struve and Bessel Functions","authors":"Breaz Daniel, Tanase Carmen-Ioana","doi":"10.4172/2168-9679.1000366","DOIUrl":"https://doi.org/10.4172/2168-9679.1000366","url":null,"abstract":"In this paper, we consider the class of Bessel functions and the class of Struve functions. We obtain some univalence criteria for two general integral operators.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90397453","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
Vaccination as a Control of Infectious Diseases 预防接种对传染病的控制作用
Journal of Applied and Computational Mathematics Pub Date : 2017-08-07 DOI: 10.4172/21689679.1000357
J. Baafi, Darko Io, Asenso Fw
{"title":"Vaccination as a Control of Infectious Diseases","authors":"J. Baafi, Darko Io, Asenso Fw","doi":"10.4172/21689679.1000357","DOIUrl":"https://doi.org/10.4172/21689679.1000357","url":null,"abstract":"This project develops the SIR model of infectious diseases and uses it to study vaccination as a control strategy used to eradicate them. Vaccination combats the disease by offering immunity against future infection. Analytic expressions are obtained for key parameters such as the minimum vaccination level required. Numerical simulations are used to illustrate the main results.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73717901","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
Symmetry Analysis of Options Pricing with Transactions Costs Driven by Fractional Brownian Noises 交易成本受分数阶布朗噪声驱动的期权定价对称性分析
Journal of Applied and Computational Mathematics Pub Date : 2017-07-31 DOI: 10.4172/2168-9679.1000356
Nteumagn Bf, E. Pindza, E. Maré
{"title":"Symmetry Analysis of Options Pricing with Transactions Costs Driven by Fractional Brownian Noises","authors":"Nteumagn Bf, E. Pindza, E. Maré","doi":"10.4172/2168-9679.1000356","DOIUrl":"https://doi.org/10.4172/2168-9679.1000356","url":null,"abstract":"We provide a closed-form solution for the European and Asian option pricing models when the source of randomness is a fractional Brownian motion as opposed to the geometric Brownian motion. In addition to the source of randomness, transaction costs are considered to be non-negligible. For the case of the European option, proportional transaction costs hide in the volatility and do not change the form of the model. The construction of the solution is based on the symmetries of the model. The model for Asian options has an additional parameter that makes the volatility time-dependent, which complicates the solution process. However, we are still able to obtain solutions using Lie symmetry methods.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82781184","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
The Improved exp(−ϕ(ξ)) Fractional Expansion Method and its Application to Nonlinear Fractional Sharma-Tasso-Olver Equation 改进的exp(−φ (ξ))分数阶展开法及其在非线性分数阶Sharma-Tasso-Olver方程中的应用
Journal of Applied and Computational Mathematics Pub Date : 2017-07-30 DOI: 10.4172/2168-9679.1000360
L. Alhakim, A. Moussa
{"title":"The Improved exp(−ϕ(ξ)) Fractional Expansion Method and its Application to Nonlinear Fractional Sharma-Tasso-Olver Equation","authors":"L. Alhakim, A. Moussa","doi":"10.4172/2168-9679.1000360","DOIUrl":"https://doi.org/10.4172/2168-9679.1000360","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":"8 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2017-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83613013","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
Extending a Chebyshev Subspace to a Weak Chebyshev Subspace ofHigher Dimension and Related Results 将Chebyshev子空间扩展到高维弱Chebyshev子空间及相关结果
Journal of Applied and Computational Mathematics Pub Date : 2017-07-30 DOI: 10.4172/2168-9679.1000347
Mansour Alyazidi-Asiry
{"title":"Extending a Chebyshev Subspace to a Weak Chebyshev Subspace ofHigher Dimension and Related Results","authors":"Mansour Alyazidi-Asiry","doi":"10.4172/2168-9679.1000347","DOIUrl":"https://doi.org/10.4172/2168-9679.1000347","url":null,"abstract":"Let G={g1,…,gn} be an n-dimensional Chebyshev sub-space of C[a, b] such that 1∉G and U=(u0, u1 ,…,un ) be an (n+1)-dimensional subspace of C[a, b] where u0 =1, ui =gi , i=1….. n. Under certain restriction on G, we proved that U is a Chebyshev subspace if and only if it is a Weak Chebyshev subspace. In addition, some other related results are established.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"41 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2017-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79686938","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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