2018-06-23T06:19:07Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=111255
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
On the convergence of the homotopy analysis method to solve the system of partial differential equations
A.
Fallahzadeh
M. A.
Fariborzi Araghi
V.
Fallahzadeh
One of the efficient and powerful schemes to solve linear and nonlinear equations is homotopy analysis method (HAM). In this work, we obtain the approximate solution of a system of partial differential equations (PDEs) by means of HAM. For this purpose, we develop the concept of HAM for a system of PDEs as a matrix form. Then, we prove the convergence theorem and apply the proposed method to find the approximate solution of some 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
2015
11
01
87
100
http://jlta.iauctb.ac.ir/article_516220_1605dc7b2bf5c8c23ae5bee34af9bf90.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
Stochastic averaging for SDEs with Hopf Drift and polynomial diffusion coefficients
M.
Alvand
It is known that a stochastic differential equation (SDE) induces two probabilistic objects, namely a difusion process and a stochastic flow. While the diffusion process is determined by the innitesimal mean and variance given by the coefficients of the SDE, this is not the case for the stochastic flow induced by the SDE. In order to characterize the stochastic flow uniquely the innitesimal covariance given by the coefficients of the SDE is needed in addition. The SDEs we consider here are obtained by a weak perturbation of a rigid rotation by random elds which are white in time. In order to obtain information about the stochastic flow induced by this kind of multiscale SDEs we use averaging for the innitesimal covariance. The main result here is an explicit determination of the coefficients of the averaged SDE for the case that the diffusion coefficients of the initial SDE are polynomial. To do this we develop a complex version of Cholesky decomposition algorithm.
Stochastic differential equation
stochastic ow
stochastic averaging
Cholesky decomposition
system of complex bilinear equations
2015
11
01
101
114
http://jlta.iauctb.ac.ir/article_516221_950328e4fa2b2305abbf280dea57cc07.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
S. P.
Mondal
T. K.
Roy
In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficient is positive crisp number and coefficient is negative crisp number. Here fuzzy numbers are taken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated.
fuzzy set
fuzzy differential equation
generalized trapezoidal intutionistic fuzzy number
2015
11
01
115
129
http://jlta.iauctb.ac.ir/article_516222_85264e2e63892ac4aba31bf9090e6f90.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
F.
Aboutorabi Goudarzi
M. S.
Asgari
In this paper we investigate a new notion of bases in Hilbert spaces and similar to fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introduce a new denition of fusion dual sequence associated with a fusion basis and show that the operators of a fusion dual sequence are continuous projections. Next we dene the fusion biorthogonal sequence, Bessel fusion basis, Hilbert fusion basis and obtain some character-izations of them. we study orthonormal fusion systems and Riesz fusion bases for Hilbert spaces. 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
2015
11
01
131
142
http://jlta.iauctb.ac.ir/article_516223_057e1dfab6e832d236ceaed097dd5a92.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
On the boundedness of almost multipliers on certain Banach algebras
E.
Ansari-Piri
M.
Shams Yousefi
S.
Nouri
Almost multiplier is rather a new concept in the theory of almost functions. In this paper we discussion the boundedness of almost multipliers on some special Banach algebras, namely stable algebras. We also define an adjoint and extension for almost multiplier.
Almost multipliers
almost additive maps
dual map
stable normed algebras
2015
11
07
143
152
http://jlta.iauctb.ac.ir/article_516224_7c536d01c1997dca5ee114453373d97e.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
s-Topological vector spaces
M.
Khan
S.
Azam
S.
Bosan
In this paper, we have dened and studied a generalized form of topological vector spaces 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 proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is an s-topological vector space. A homomorphism between s-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
2015
11
03
153
158
http://jlta.iauctb.ac.ir/article_516225_45ed430709aa3906872fd36f0f79a9ff.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
02
On dual shearlet frames
M.
Amin khah
A.
Askari Hemmat
R.
Raisi Tousi
In This paper, we give a necessary condition for function in $L^2$ with its dual to generate a dual shearlet tight frame with respect to admissibility.
Dual shearlet frame
Bessel sequence
admissible shearlet
2015
11
19
159
163
http://jlta.iauctb.ac.ir/article_516226_9092f14f6ed90992c840b306c272e5de.pdf