eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
1
16
514426
مقاله های تحقیقی
Approximation of the n-th Root of a Fuzzy Number by Polynomial Form Fuzzy Numbers
Approximation of the n-th Root of a Fuzzy
Number by Polynomial Form Fuzzy
Numbers
مجید امیر فخریان
amirfakhrian@iauctb.ac.ir
1
استادیار دانشگاه آزاد اسلامی واحد تهران مرکز
In this paper we introduce the root of a fuzzy number, and we present aniterative method to nd it, numerically. We present an algorithm to generatea sequence that can be converged to n-th root of a fuzzy number.
In this paper we introduce the root of a fuzzy number, and we present aniterative method to nd it, numerically. We present an algorithm to generatea sequence that can be converged to n-th root of a fuzzy number.
http://msj.iau-arak.ac.ir/article_514426_43e071b3d85561bc60fc758643f8024a.pdf
Nearest Approximation
Fuzzy numbers
Fuzzy Polynomial
Root of Fuzzy Number
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
17
29
514437
مقاله های تحقیقی
Application of variational iteration method for solving singular two point boundary value problems
Application of variational iteration method
for solving singular two point boundary
value problems
شادان صدیق بهزادی
shadan_behzadi@yahoo.com
1
دانشگاه آزاد اسلامی واحد قزوین
In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem which being processed out and improvised on its own at every step re-cursively. Moreover, Illustrative examples available to the context in literaturewhen treated with, by application of such proposed method fetch encouragingresults so as to justify and reveal its eciency and usefulness of the method.
In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem which being processed out and improvised on its own at every step re-cursively. Moreover, Illustrative examples available to the context in literaturewhen treated with, by application of such proposed method fetch encouragingresults so as to justify and reveal its eciency and usefulness of the method.
http://msj.iau-arak.ac.ir/article_514437_b8788ad5b66ec51e6084ae07983eef81.pdf
variational iteration method
transformation
Singular
boundary value problem
Lagrange multiplier
Smooth function
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
31
45
514440
مقاله های تحقیقی
Common fixed point theorems of contractive mappings sequence in partially ordered G-metric spaces
Common fixed point theorems of
contractive mappings sequence in partially
ordered G-metric spaces
لیلا قلی زاده
l.gholizade@gmail.com
1
دانشگاه آزاد واحد علوم و تحقیقات تهران
We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.
We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.
http://msj.iau-arak.ac.ir/article_514440_7dfaed38f82adf87f581c79d6bf77f88.pdf
Omega-distance
fixed point
G-metric space-distance
fixed point
G-metric space
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
47
54
514449
مقاله های تحقیقی
The tanh method for solutions of the nonlinear modied Korteweg de Vries equation
The tanh method for solutions of the
nonlinear modied Korteweg de Vries
equation
مسعود کریمی
karimim@bojnourdiau.ac.ir
1
دانشگاه آزاد واحد بجنورد ایران
In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations
In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations
http://msj.iau-arak.ac.ir/article_514449_147fbdd56b84fcb044c570a333d66931.pdf
Solitons
shock
Modied KdV equation
The tanh method
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
55
66
514450
مقاله های تحقیقی
New solution of fuzzy linear matrix equations
New solution of fuzzy linear matrix
equations
محمود اوتادی
otadi@iaufb.ac.ir
1
دانشگاه آزاد بجنورد
In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel.
In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel.
http://msj.iau-arak.ac.ir/article_514450_2c134654159294fee620a7462396e580.pdf
Fuzzy number
Parametric form
Fuzzy linear matrix equations
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
67
78
514451
مقاله های تحقیقی
Application of variational iteration method for solving singular two point boundary value problem
Application of variational iteration method
for solving singular two point boundary
value problems
محسن رستمی مالخلیفه
1
ه صالح
2
دانشگاه آزاد علوم و تحقیقات تهران
دانشگاه آزاد علوم و تحقیقات تهران
DEA methodology allows DMUs to select the weights freely, so in the optimalsolution we may see many zeros in the optimal weight. to overcome this prob-lem, there are some methods, but they are not suitable for evaluating DMUswith fuzzy data. In this paper, we propose a new method for solving fuzzyDEA models with restricted multipliers with less computation, and comparethis method with Liu''''''''[11]. Finally, by the proposed method, we evaluate a ex-ible manufacturing system with little computation, and then we compared thecomputational complexity of our proposed method with that of liu''''''''s method.
DEA methodology allows DMUs to select the weights freely, so in the optimalsolution we may see many zeros in the optimal weight. to overcome this prob-lem, there are some methods, but they are not suitable for evaluating DMUswith fuzzy data. In this paper, we propose a new method for solving fuzzyDEA models with restricted multipliers with less computation, and comparethis method with Liu''''''''[11]. Finally, by the proposed method, we evaluate a ex-ible manufacturing system with little computation, and then we compared thecomputational complexity of our proposed method with that of liu''''''''s method.
http://msj.iau-arak.ac.ir/article_514451_0e062f9808bc322fc78b4df7358ef021.pdf
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
79
93
514452
مقاله های تحقیقی
Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method
Evaluating the solution for second kind
nonlinear Volterra Fredholm integral
equations using hybrid method
احمد شهسواران
a.shahsavaran@iaub.ac.ir
1
اکبر شهسواران
2
دانشگاه آزاد بروجرد ایران
دانشگاه آزاد اسلامی واحد بروجرد
In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applicability of the technique.
In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applicability of the technique.
http://msj.iau-arak.ac.ir/article_514452_fe2c8fd8c4e9403ca4dffb3ffa9c6ecd.pdf
Nonlinear Fredholm Volterra integral equation
Haar wavelet
Haar coecient matrix
Block-Pulse Function
Collocation points
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
95
103
514453
مقاله های تحقیقی
Homological dimensions of complexes of R-modules
Homological dimensions of complexes of
R-modules
ن طیارزاده
1
اسمعیل حسینی
esmaeilmath@gmail.com
2
َش نیک نژاد
3
دانشگاه آزاد واحد گچساران ایران
دانشگاه آزاد واحد گچساران ایران
دانشگاه آزاد واحد گچساران
Let R be an associative ring with identity, C(R) be the category of com-plexes of R-modules and Flat(C(R)) be the class of all at complexes of R-modules. We show that the at cotorsion theory (Flat(C(R)); Flat(C(R))−)have enough injectives in C(R). As an application, we prove that for each atcomplex F and each complex Y of R-modules, Exti (F,X)= 0, whenever Ris n-perfect and i > n.
Let R be an associative ring with identity, C(R) be the category of com-plexes of R-modules and Flat(C(R)) be the class of all at complexes of R-modules. We show that the at cotorsion theory (Flat(C(R)); Flat(C(R))−)have enough injectives in C(R). As an application, we prove that for each atcomplex F and each complex Y of R-modules, Exti (F,X)= 0, whenever Ris n-perfect and i > n.
http://msj.iau-arak.ac.ir/article_514453_bb1bb8affb7bd085b0592682642ff05f.pdf
Cotorsion theory
Cotorsion dimension
Projective dimension
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
105
113
514454
مقاله های تحقیقی
A note on positive deniteness and stability of interval matrices
A note on positive deniteness and
stability of interval matrices
هانا ویسه
veisehana@yahoo.com
1
دانشگاه آزاد واحد همدان
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices.
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices.
http://msj.iau-arak.ac.ir/article_514454_931070a5b2c71d54ffa1b791fc25daab.pdf
Interval matrix
Real eigenvalues
Positive deniteness
Stability
Symmetric matrix
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-03-01
9
1
115
125
514455
مقاله های تحقیقی
A numerical solution of a Kawahara equation by using Multiquadric radial basis function
A numerical solution of a Kawahara
equation by using Multiquadric radial basis
function
م ضارب نیا
zarebnia@uma.ac.ir
1
م. تختی
2
دانشگاه محقق اردبیلی
دانشگاه محقق اردبیلی
In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.
In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.
http://msj.iau-arak.ac.ir/article_514455_dd7fdc8d676a69dc1a71ef26a81a6454.pdf
Kawahara equation
Traveling wave solution
Radial basis
function(RBFs)