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International Journal of Applied Mathematics and Computation最新文献

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Some Strongly Multiplicative Graphs in the Context of Arbitrary Supersubdivision 任意超细分下的一些强乘法图
International Journal of Applied Mathematics and Computation Pub Date : 2011-04-02 DOI: 10.0000/IJAMC.2011.3.1.116
S. Vaidya, K. Kanani
{"title":"Some Strongly Multiplicative Graphs in the Context of Arbitrary Supersubdivision","authors":"S. Vaidya, K. Kanani","doi":"10.0000/IJAMC.2011.3.1.116","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.1.116","url":null,"abstract":"We discuss here strongly multiplicative labeling in the context of supersubdivision of graph. We prove that the graph obtained by arbitrary supersubdivisions of path, star,cycle and tadpole are strongly multiplicative.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125415449","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: 5
On the Preconditioning of the AOR Iterative Methods for M-matrices m -矩阵AOR迭代法的预处理问题
International Journal of Applied Mathematics and Computation Pub Date : 2011-03-24 DOI: 10.0000/IJAMC.2011.3.2.280
D. K. Salkuyeh, Yousef Abdolalizadeh
{"title":"On the Preconditioning of the AOR Iterative Methods for M-matrices","authors":"D. K. Salkuyeh, Yousef Abdolalizadeh","doi":"10.0000/IJAMC.2011.3.2.280","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.2.280","url":null,"abstract":"In this paper, we propose a preconditioned AOR iterative method for solving the systems of linear equations with M-matrix coefficient. Some numerical results are given to compare the proposed preconditioner with an available preconditioner.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114428767","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
Stochastic behaviour of A.T.M. system with Head-of-line repair 具有线路首修的自动取款机系统的随机行为
International Journal of Applied Mathematics and Computation Pub Date : 2011-03-21 DOI: 10.0000/IJAMC.2011.3.2.101
Surbhi Agarwal, D. Sharma
{"title":"Stochastic behaviour of A.T.M. system with Head-of-line repair","authors":"Surbhi Agarwal, D. Sharma","doi":"10.0000/IJAMC.2011.3.2.101","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.2.101","url":null,"abstract":"In this paper, the author has been considered an A.T.M. (automated Teller Machine) system to analysis its stochastic behaviour. Supplementary variables have been used to convert the Non-Markovian process into Markovian. Laplace transform has been utilized to solve the mathematical model of considered system. Laplace transform of all transition state probabilities, steady-state behaviour of the system, availability and cost function of considered system have been obtained. A particular case has also been computed to enhance practical utility of the model. Graphical illustration followed by a numerical example has been appended in the end to highlight important results of the study.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126599865","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 Generalized Differential Dominated Vector Complementarity Problem of order $lambda$ $(GDDVCP;lambda)$ and Generalized $F$-Minty's Lemma 阶$ λ $ $(GDDVCP; λ)$和广义$F$-Minty引理的广义微分支配向量互补问题
International Journal of Applied Mathematics and Computation Pub Date : 2011-03-14 DOI: 10.0000/IJAMC.2011.3.1.213
P. Das, A. K. Sahu
{"title":"The Generalized Differential Dominated Vector Complementarity Problem of order $lambda$ $(GDDVCP;lambda)$ and Generalized $F$-Minty's Lemma","authors":"P. Das, A. K. Sahu","doi":"10.0000/IJAMC.2011.3.1.213","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.1.213","url":null,"abstract":"The aim of this paper is to define  some new concept of variational inequality and complementarity problem and to study them in different domain. We establish an uniqueness theorem for the generalized variational inequality problem in real Banach space. We represent the generalized $F$-Minty's lemma in $eta$-invex set. We introduce some new type of variational inequality problems such as  generalized differential dominated variational inequality problem $(GDDVIP)$, generalized differential dominated complementarity problem $(GDDCP)$ and generalized differential inequality problem $(GDIP)$ in real Banach spaces. We also explore the existence theorems of these problem. Next we introduce the generalized differential dominated vector variational inequality problem of order $lambda$ $(GDDVVIP;lambda)$ and generalized differential dominated vector complementarity problem of order $lambda$ $(GDDVCP;lambda)$.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122192479","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
Exact solutions of Kupershmidt equation by the G'/G-expansion method 用G′/G展开法求Kupershmidt方程的精确解
International Journal of Applied Mathematics and Computation Pub Date : 2011-03-14 DOI: 10.0000/IJAMC.2010.2.4.165
N. Taghizadeh, F. Farahrooz, M. Mirzazadeh
{"title":"Exact solutions of Kupershmidt equation by the G'/G-expansion method","authors":"N. Taghizadeh, F. Farahrooz, M. Mirzazadeh","doi":"10.0000/IJAMC.2010.2.4.165","DOIUrl":"https://doi.org/10.0000/IJAMC.2010.2.4.165","url":null,"abstract":"The $(frac{G'}{G})$-expansion method can be used to construct exact travelling wave of nonlinear evolution equations.In this paper,we look for exact solutions of Kupershmidt equation by the $(frac{G'}{G})$-expansion method.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":" 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120831257","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
Non-Iterative Numerical Integration method for Singular Perturbation Problems exhibiting Internal and Twin Layers 具有内层和双层的奇异摄动问题的非迭代数值积分方法
International Journal of Applied Mathematics and Computation Pub Date : 2011-03-13 DOI: 10.0000/IJAMC.2011.3.1.194
K. Phaneendra, Y. N. Reddy, G. Soujanya
{"title":"Non-Iterative Numerical Integration method for Singular Perturbation Problems exhibiting Internal and Twin Layers","authors":"K. Phaneendra, Y. N. Reddy, G. Soujanya","doi":"10.0000/IJAMC.2011.3.1.194","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.1.194","url":null,"abstract":"In this paper, a non-iterative numerical integration method is developed on a uniform mesh for a class of singularly perturbed two-point boundary value problems exhibiting internal and twin boundary layers. This method is non-iterative on a small deviating argument which converts the second order boundary value problem to the first order differential equation with the deviating argument. By applying numerical integration method on first order differential equation, tridiagonal scheme is obtained and is solved efficiently. This method is non-iterative and very easy to implement. Root mean square errors are presented to illustrate the proposed method.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122637795","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
Numerical implementation of an expansion method for linear Volterra integral equations of the second kind with weakly singular kernels 具有弱奇异核的第二类线性Volterra积分方程展开方法的数值实现
International Journal of Applied Mathematics and Computation Pub Date : 2011-02-28 DOI: 10.0000/IJAMC.2011.3.1.221
A. Shahsavaran, E. Babolian
{"title":"Numerical implementation of an expansion method for linear Volterra integral equations of the second kind with weakly singular kernels","authors":"A. Shahsavaran, E. Babolian","doi":"10.0000/IJAMC.2011.3.1.221","DOIUrl":"https://doi.org/10.0000/IJAMC.2011.3.1.221","url":null,"abstract":"This paper concentrates on solving linear Volterra integral equations with weakly singular kernel based on approximating of unknown function in terms of Block Pulse Functions and Taylor series expansion of singular part. Error analysis is worked out that shows efficiency of presented method. The method is applied to some numerical examples.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"394 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134064487","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: 7
Application of He’s variational approach method for periodic solution of strongly nonlinear oscillation problems He变分方法在强非线性振荡问题周期解中的应用
International Journal of Applied Mathematics and Computation Pub Date : 2011-02-09 DOI: 10.0000/IJAMC.2010.2.3.95
A. Amani, D. Ganji, A. Jebelli, M. Shahabi, N. S. Nosar
{"title":"Application of He’s variational approach method for periodic solution of strongly nonlinear oscillation problems","authors":"A. Amani, D. Ganji, A. Jebelli, M. Shahabi, N. S. Nosar","doi":"10.0000/IJAMC.2010.2.3.95","DOIUrl":"https://doi.org/10.0000/IJAMC.2010.2.3.95","url":null,"abstract":"Applications of He’s Variational Approach Method (VAM) to solve the nonlinear oscillations is discussed in this paper. We established approximate analytical formulas for the period periodic solution. In contrast with conventional methods, in VAM, only one iteration leads to high accuracy towards solutions . The attained results are logical for the whole solution domain with high preciseness. We find that VAM is excellently for the whole range of initial amplitudes. VAM is in an excellent agreement of the periodical solutions with the Exact or other analytical solutions which has been demonstrated and discussed","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121592144","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: 5
A note on AMP algoritm and its extension 关于AMP算法及其扩展的说明
International Journal of Applied Mathematics and Computation Pub Date : 2011-01-03 DOI: 10.0000/IJAMC.2010.2.2.121
Majid Adib, Zeinab Fatemi
{"title":"A note on AMP algoritm and its extension","authors":"Majid Adib, Zeinab Fatemi","doi":"10.0000/IJAMC.2010.2.2.121","DOIUrl":"https://doi.org/10.0000/IJAMC.2010.2.2.121","url":null,"abstract":"The ABS methods are of direct finite algorithms which solve a linear systems of equations at most in number of equations. Amini, Mahdavi-Amiri and Peyghami in [3] present an ABS type algorithm so that two new equations are satisfied in every iteration when coefficient matrix is a full row rank matrix. Their article has some problems. In this paper we first point to them and then we extend their algorithm so that it is applicable to any arbitrary rank of coefficient matrix.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132290736","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 results on the analytic summation of Adomian series for linear and nonlinear differential equations 线性和非线性微分方程Adomian级数解析求和的一个新结果
International Journal of Applied Mathematics and Computation Pub Date : 2011-01-03 DOI: 10.0000/IJAMC.2010.2.2.168
I. El-Kalla
{"title":"A new results on the analytic summation of Adomian series for linear and nonlinear differential equations","authors":"I. El-Kalla","doi":"10.0000/IJAMC.2010.2.2.168","DOIUrl":"https://doi.org/10.0000/IJAMC.2010.2.2.168","url":null,"abstract":"In this paper, we demonstrate that an in.nite number of successive integration by parts can be written in a closed form. This closed form can be used directly to prove that the analytic summation of Adomian series becomes identical to the closed form solution for some classes of linear and nonlinear differential equations.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126089694","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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