Precondition for Discretized Fractional Boundary Value Problem
I. K. Youssef,
A. M. Shukur
Issue:
Volume 3, Issue 1, February 2014
Pages:
1-6
Received:
23 January 2014
Published:
20 February 2014
Abstract: A precondition that uses the special structure of the algebraic system arising from the discretization of a fractional partial differential equation on the red black ordering grid is introduced. Comparison with the numerical solution of the classical Poisson’s equationis considered. A graphical representation for the precondition is illustrated. The performance of our treatment is calculated for different values of the fractional order. The results of the implementation of the SOR and the KSOR with the help of MATLAB are given in compact tables. The value of the relaxation parameter is chosen on the bases of the graphical representation of the behavior of the spectral radius of the iteration matrices. Also, the natural ordering grid is considered.
Abstract: A precondition that uses the special structure of the algebraic system arising from the discretization of a fractional partial differential equation on the red black ordering grid is introduced. Comparison with the numerical solution of the classical Poisson’s equationis considered. A graphical representation for the precondition is illustrated. Th...
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On the Symmetry Classes of Tensors Associated with Certain Frobenius Groups
Issue:
Volume 3, Issue 1, February 2014
Pages:
7-10
Received:
25 January 2014
Published:
20 February 2014
Abstract: In this paper, we study the symmetry classes of tensors associated with some Frobenius groups of order pq, where q|p-1as a subgroups of the full symmetric group on p letters. We calculate the dimension of the symmetry classes of tensor associated with some Frobenius groups and some irreducible complex characters and we obtain two useful corollary with an example.
Abstract: In this paper, we study the symmetry classes of tensors associated with some Frobenius groups of order pq, where q|p-1as a subgroups of the full symmetric group on p letters. We calculate the dimension of the symmetry classes of tensor associated with some Frobenius groups and some irreducible complex characters and we obtain two useful corollary w...
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Topological BCL+- Algebras
Issue:
Volume 3, Issue 1, February 2014
Pages:
11-13
Received:
14 February 2014
Published:
20 March 2014
Abstract: BCL/BCL+-algebras [1, 2] are more extensive class than BCK/BCI/BCH-algebras [5-8], introduced by Yonghong Liu. In this paper, we aim to embed topological structure in BCL+-algebras, thus we should be introduced to the notion of “good taste”, which is both topological space and metric space. Thereupon, some fundamental properties of topological BCL+-algebras are obtained.
Abstract: BCL/BCL+-algebras [1, 2] are more extensive class than BCK/BCI/BCH-algebras [5-8], introduced by Yonghong Liu. In this paper, we aim to embed topological structure in BCL+-algebras, thus we should be introduced to the notion of “good taste”, which is both topological space and metric space. Thereupon, some fundamental properties of topological BCL+...
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