Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
On the convergence of the homotopy analysis method to solve the system of partial dierential equations
87
100
EN
A
Fallahzadeh
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Iran
amir falah6@yahoo.com
M. A
Fariborzi Araghi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Iran
V
Fallahzadeh
Department of Mathematics, Islamic Azad University, Arac Branch, Iran
One of the ecient and powerful schemes to solve linear and nonlinear equationsis homotopy analysis method (HAM). In this work, we obtain the approximate solution ofa system of partial dierential equations (PDEs) by means of HAM. For this purpose, wedevelop the concept of HAM for a system of PDEs as a matrix form. Then, we prove theconvergence theorem and apply the proposed method to nd the approximate solution ofsome systems of PDEs. Also, we show the region of convergence by plotting the H-surface.
Homotopy analysis method,System of partial differential equations,H-surface
http://jlta.iauctb.ac.ir/article_516220.html
http://jlta.iauctb.ac.ir/article_516220_1605dc7b2bf5c8c23ae5bee34af9bf90.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
Stochastic averaging for SDEs with Hopf Drift and polynomial diusion coecients
101
114
EN
M
Alvand
Department of Mathematical Sciences, Isfahan University of Technology,
Isfahan, Iran
It is known that a stochastic dierential equation (SDE) induces two probabilisticobjects, namely a diusion process and a stochastic ow. While the diusion process isdetermined by the innitesimal mean and variance given by the coecients of the SDE,this is not the case for the stochastic ow induced by the SDE. In order to characterize thestochastic ow uniquely the innitesimal covariance given by the coecients of the SDE isneeded in addition. The SDEs we consider here are obtained by a weak perturbation of a rigidrotation by random elds which are white in time. In order to obtain information about thestochastic ow induced by this kind of multiscale SDEs we use averaging for the innitesimalcovariance. The main result here is an explicit determination of the coecients of the averagedSDE for the case that the diusion coecients of the initial SDE are polynomial. To do thiswe develop a complex version of Cholesky decomposition algorithm.
Stochastic differential equation,stochastic
ow,stochastic averaging,Cholesky
decomposition,system of complex bilinear equations
http://jlta.iauctb.ac.ir/article_516221.html
http://jlta.iauctb.ac.ir/article_516221_950328e4fa2b2305abbf280dea57cc07.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
Second order linear dierential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
115
129
EN
S. P
Mondal
Department of Mathematics, National Institute of Technology, Agartala,
Jirania-799046, Tripura, India
T. K
Roy
Department of Mathematics, Indian Institute of Engineering Science and Technology,
Shibpur, Howrah-711103, West Bengal, India
In this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. It is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. Here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numericalexample is illustrated.
fuzzy set,fuzzy differential equation,generalized trapezoidal intutionistic
fuzzy number
http://jlta.iauctb.ac.ir/article_516222.html
http://jlta.iauctb.ac.ir/article_516222_85264e2e63892ac4aba31bf9090e6f90.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
131
142
EN
F
Aboutorabi Goudarzi
Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
M. S
Asgari
Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
In this paper we investigate a new notion of bases in Hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introducea new denition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. Next we dene the fusionbiorthogonal sequence, Bessel fusion basis, Hilbert fusion basis and obtain some character-izations of them. we study orthonormal fusion systems and Riesz fusion bases for Hilbertspaces. we consider the stability of fusion bases under small perturbations. We also general-ized a result of Paley-Wiener [16] to the situation of fusion basis.
Fusion Frame,Riesz fusion basis,Exact fusion frame,Orthonormal fusion
basis
http://jlta.iauctb.ac.ir/article_516223.html
http://jlta.iauctb.ac.ir/article_516223_057e1dfab6e832d236ceaed097dd5a92.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
On the boundedness of almost multipliers on certain Banach algebras
143
152
EN
E
Ansari-Piri
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
M
Shams Youse
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
S
Nouri
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
Almost multiplier is rather a new concept in the theory of almost functions. In thispaper we discuss on the boundedness of almost multipliers on some special Banach algebras,namely stable algebras. We also dene an adjoint and extension for almost multiplier.
Almost multipliers,almost additive maps,dual map,stable normed algebras
http://jlta.iauctb.ac.ir/article_516224.html
http://jlta.iauctb.ac.ir/article_516224_7c536d01c1997dca5ee114453373d97e.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
s-Topological vector spaces
153
158
EN
Moiz ud
Din Khan
Department of Mathematics, COMSATS Institute of Information
Technology, Park Road, Islamabad, Pakistan.
S
Azam
Punjab Education Department, Pakistan.
In this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. Every open subspaceof an s-topological vector space is an s-topological vector space. A homomorphism betweens-topological vector spaces is semi-continuous if it is s-continuous at the identity.
s-Topological vector space,Semi-open set,semi-closed set,semi-continuous
mapping,s-continuous mapping,left (right) translation,generalized homeomorphism,generalized homogeneous space
http://jlta.iauctb.ac.ir/article_516225.html
http://jlta.iauctb.ac.ir/article_516225_45ed430709aa3906872fd36f0f79a9ff.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
02
2015
11
01
On dual shearlet frames
159
163
EN
M
Amin khah
Department of Application Mathematics, Kerman Graduate University
of High Technology, Iran.
A
Askari Hemmat
Department of Mathematics, Shahid Bahonar University of Kerman, Iran.
R
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad, Iran.
In This paper, we give a necessary condition for function in L^2with its dual to generate a dual shearlet tight frame with respect to admissibility.
Dual shearlet frame,Bessel sequence,admissible shearlet
http://jlta.iauctb.ac.ir/article_516226.html
http://jlta.iauctb.ac.ir/article_516226_9092f14f6ed90992c840b306c272e5de.pdf