On the convergence of the homotopy analysis method to solve the system of partial dierential equations
A
Fallahzadeh
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Iran
author
M. A
Fariborzi Araghi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Iran
author
V
Fallahzadeh
Department of Mathematics, Islamic Azad University, Arac Branch, Iran
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
87
100
http://jlta.iauctb.ac.ir/article_516220_1605dc7b2bf5c8c23ae5bee34af9bf90.pdf
Stochastic averaging for SDEs with Hopf Drift and polynomial diusion coecients
M
Alvand
Department of Mathematical Sciences, Isfahan University of Technology,
Isfahan, Iran
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
101
114
http://jlta.iauctb.ac.ir/article_516221_950328e4fa2b2305abbf280dea57cc07.pdf
Second order linear dierential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
S. P
Mondal
Department of Mathematics, National Institute of Technology, Agartala,
Jirania-799046, Tripura, India
author
T. K
Roy
Department of Mathematics, Indian Institute of Engineering Science and Technology,
Shibpur, Howrah-711103, West Bengal, India
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
115
129
http://jlta.iauctb.ac.ir/article_516222_85264e2e63892ac4aba31bf9090e6f90.pdf
New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
F
Aboutorabi Goudarzi
Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
author
M. S
Asgari
Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
131
142
http://jlta.iauctb.ac.ir/article_516223_057e1dfab6e832d236ceaed097dd5a92.pdf
On the boundedness of almost multipliers on certain Banach algebras
E
Ansari-Piri
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
author
M
Shams Youse
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
author
S
Nouri
Department of Pure Mathematics, Faculty of Mathematical Science,
University of Guilan, Rasht, Iran.
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
143
152
http://jlta.iauctb.ac.ir/article_516224_7c536d01c1997dca5ee114453373d97e.pdf
s-Topological vector spaces
Moiz ud
Din Khan
Department of Mathematics, COMSATS Institute of Information
Technology, Park Road, Islamabad, Pakistan.
author
S
Azam
Punjab Education Department, Pakistan.
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
153
158
http://jlta.iauctb.ac.ir/article_516225_45ed430709aa3906872fd36f0f79a9ff.pdf
On dual shearlet frames
M
Amin khah
Department of Application Mathematics, Kerman Graduate University
of High Technology, Iran.
author
A
Askari Hemmat
Department of Mathematics, Shahid Bahonar University of Kerman, Iran.
author
R
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad, Iran.
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
02
no.
2015
159
163
http://jlta.iauctb.ac.ir/article_516226_9092f14f6ed90992c840b306c272e5de.pdf