Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Approximation of the n-th Root of a Fuzzy Number by Polynomial Form Fuzzy Numbers
1
16
EN
مجید
امیر فخریان
استادیار دانشگاه آزاد اسلامی واحد تهران مرکز
amirfakhrian@iauctb.ac.ir
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.html
http://msj.iau-arak.ac.ir/article_514426_43e071b3d85561bc60fc758643f8024a.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Application of variational iteration method for solving singular two point boundary value problems
17
29
EN
شادان
صدیق بهزادی
دانشگاه آزاد اسلامی واحد قزوین
shadan_behzadi@yahoo.com
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.html
http://msj.iau-arak.ac.ir/article_514437_b8788ad5b66ec51e6084ae07983eef81.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Common fixed point theorems of contractive mappings sequence in partially ordered G-metric spaces
31
45
EN
لیلا
قلی زاده
دانشگاه آزاد واحد علوم و تحقیقات تهران
l.gholizade@gmail.com
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.html
http://msj.iau-arak.ac.ir/article_514440_7dfaed38f82adf87f581c79d6bf77f88.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
The tanh method for solutions of the nonlinear modied Korteweg de Vries equation
47
54
EN
مسعود
کریمی
دانشگاه آزاد واحد بجنورد ایران
karimim@bojnourdiau.ac.ir
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.html
http://msj.iau-arak.ac.ir/article_514449_147fbdd56b84fcb044c570a333d66931.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
New solution of fuzzy linear matrix equations
55
66
EN
محمود
اوتادی
دانشگاه آزاد بجنورد
otadi@iaufb.ac.ir
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.html
http://msj.iau-arak.ac.ir/article_514450_2c134654159294fee620a7462396e580.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Application of variational iteration method for solving singular two point boundary value problem
67
78
EN
محسن
رستمی مالخلیفه
دانشگاه آزاد علوم و تحقیقات تهران
ه
صالح
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.
http://msj.iau-arak.ac.ir/article_514451.html
http://msj.iau-arak.ac.ir/article_514451_0e062f9808bc322fc78b4df7358ef021.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method
79
93
EN
احمد
شهسواران
دانشگاه آزاد بروجرد ایران
a.shahsavaran@iaub.ac.ir
اکبر
شهسواران
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.
http://msj.iau-arak.ac.ir/article_514452.html
http://msj.iau-arak.ac.ir/article_514452_fe2c8fd8c4e9403ca4dffb3ffa9c6ecd.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
Homological dimensions of complexes of R-modules
95
103
EN
ن
طیارزاده
دانشگاه آزاد واحد گچساران ایران
اسمعیل
حسینی
دانشگاه آزاد واحد گچساران ایران
esmaeilmath@gmail.com
َش
نیک نژاد
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.
http://msj.iau-arak.ac.ir/article_514453.html
http://msj.iau-arak.ac.ir/article_514453_bb1bb8affb7bd085b0592682642ff05f.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
A note on positive deniteness and stability of interval matrices
105
113
EN
هانا
ویسه
دانشگاه آزاد واحد همدان
veisehana@yahoo.com
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.html
http://msj.iau-arak.ac.ir/article_514454_931070a5b2c71d54ffa1b791fc25daab.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
9
1
2012
03
01
A numerical solution of a Kawahara equation by using Multiquadric radial basis function
115
125
EN
م
ضارب نیا
دانشگاه محقق اردبیلی
zarebnia@uma.ac.ir
م.
تختی
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.
http://msj.iau-arak.ac.ir/article_514455.html
http://msj.iau-arak.ac.ir/article_514455_dd7fdc8d676a69dc1a71ef26a81a6454.pdf