eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
87
100
516220
On the convergence of the homotopy analysis method to solve the system of partial dierential equations
A Fallahzadeh
amir falah6@yahoo.com
1
M. A Fariborzi Araghi
2
V Fallahzadeh
3
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
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.
http://jlta.iauctb.ac.ir/article_516220_1605dc7b2bf5c8c23ae5bee34af9bf90.pdf
Homotopy analysis method
System of partial differential equations
H-surface
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
101
114
516221
Stochastic averaging for SDEs with Hopf Drift and polynomial diusion coecients
M Alvand
1
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.
http://jlta.iauctb.ac.ir/article_516221_950328e4fa2b2305abbf280dea57cc07.pdf
Stochastic differential equation
stochastic
ow
stochastic averaging
Cholesky
decomposition
system of complex bilinear equations
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
115
129
516222
Second order linear dierential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
S. P Mondal
1
T. K Roy
2
Department of Mathematics, National Institute of Technology, Agartala, Jirania-799046, Tripura, India
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.
http://jlta.iauctb.ac.ir/article_516222_85264e2e63892ac4aba31bf9090e6f90.pdf
fuzzy set
fuzzy differential equation
generalized trapezoidal intutionistic
fuzzy number
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
131
142
516223
New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
F Aboutorabi Goudarzi
1
M. S Asgari
2
Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
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.
http://jlta.iauctb.ac.ir/article_516223_057e1dfab6e832d236ceaed097dd5a92.pdf
Fusion Frame
Riesz fusion basis
Exact fusion frame
Orthonormal fusion
basis
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
143
152
516224
On the boundedness of almost multipliers on certain Banach algebras
E Ansari-Piri
1
M Shams Youse
2
S Nouri
3
Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran.
Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran.
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.
http://jlta.iauctb.ac.ir/article_516224_7c536d01c1997dca5ee114453373d97e.pdf
Almost multipliers
almost additive maps
dual map
stable normed algebras
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
153
158
516225
s-Topological vector spaces
Moiz ud Din Khan
1
S Azam
2
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.
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.
http://jlta.iauctb.ac.ir/article_516225_45ed430709aa3906872fd36f0f79a9ff.pdf
s-Topological vector space
Semi-open set
semi-closed set
semi-continuous
mapping
s-continuous mapping
left (right) translation
generalized homeomorphism
generalized homogeneous space
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-11-01
04
02
159
163
516226
On dual shearlet frames
M Amin khah
1
A Askari Hemmat
2
R Raisi Tousi
3
Department of Application Mathematics, Kerman Graduate University of High Technology, Iran.
Department of Mathematics, Shahid Bahonar University of Kerman, Iran.
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.
http://jlta.iauctb.ac.ir/article_516226_9092f14f6ed90992c840b306c272e5de.pdf
Dual shearlet frame
Bessel sequence
admissible shearlet