Papers

Journal of Ultra Scientist of Physical Sciences - B
Voulume: 20
Issue: 3
Article No. 31
Convergence of orthonormal wavelets
R.C. Meghwal
Department of Mathematics, Govt. P.G. College, Neemuch - 458441 (INDIA)
Abstract :

The aim of this paper is to study the convergence of mother wavelet specially shanon's wavelet when bounded variation is impose on it.
 

Keyword : Wavelets, mother Wavelets, Father Wavelets, ortho normal Wavelets, Shanon Wavelets
DOI : jusps-B
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Article No. 32
Analysis of a Predator-Prey Model with Intraspecies Coexistence
M.H. Rahmani Doust
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 5700 06 (Karnataka (INDIA)
R. Rangarajan
Department of Studies in Environment Science, University of Mysore (Mysore ) - 5700 06 (INDIA)
M. N. Modoodi (mnmodoodi@gmail.com)
Department of Studies in Environment Science, University of Mysore (Mysore ) - 5700 06 (INDIA)
Abstract :

This paper deals with Lotka-Volterra predator-prey equations of two species. Moreover, we make assumption that, there exists coexistence within each species separately. The methods which can be used in this context are vector field, linearization and Lyapanov's second. For each equilibrium point, stable and unstable manifolds will be determined.
 

Keyword : Lotka-Volterra Model, Predator-Prey Equations, Intraspecies Coexistence
DOI : jusps-B
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Article No. 33
On Kl (E, 1) summability of fourier series
V.N. Tripathi
Department of Mathematics S.B.P.G. College Baragaon, Varanasi, U.P. (India)
Sonia Pal
Department of Mathematics S.B.P.G. College Baragaon, Varanasi, U.P. (India)
Abstract :

The Present paper deals with a theorem on Kl (E, 1) Summability of fourier series under general conditions.

Keyword : On Kl (E, 1) , summability, fourier series
DOI : jusps-B
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Article No. 34
Love wave scattering due to a surface impedance in the surface of a vertical discontinuous surface layer
S. Mudgal
Department of Mathematics BRCM College of Engineering and Technology, Bahal (Bhiwani), Haryana (INDIA)
Abstract :

The scattering of Love waves due to a surface impedance in the surface of a vertical discontinuous surface layer is studied in the present paper. The solution of the problem is obtained when the width of the vertical disconti-nuity is very small. The reflected, transmitted and scattered waves are obtained by using the method of Fourier transformation and Wiener-Hopf technique. The numerical computations are carried out for the amplitude of the scattered waves versus wave number. There is a sharp fall of the amplitude with slight increase in the wave number.
 

Keyword : Love waves, Fourier analysis, scattering, amplitude, wave number
DOI : jusps-B
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Article No. 35
An Efficient Step Size For BFGS
Azfi Zaidi Mohammad Sofi (azfizaidi@yahoo.com)
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Mustafa Mamat (mus@umt.edu.my)
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Ismail Mohd (ismail@umt.edu.my.
Department of Mathematics, Facutly of Science and Technology, University Malaysia Terengganu (UMT) (Malaysia)
Yosza Dasril (yosza@utem.edu.my
Faculty of Electronics and Computer Engineering Universiti Teknikal Meaka (UTem) Melaka, Malaysia
Abstract :

In this paper we introduced what we are calling a combination of step size of Broyden-Fletcher-Goldfarb-Shanno (CSS-BFGS) to solve unconstrained optimization problem. Analytically, we have proved that the algorithm is superlinearly convergence. The numerical result of CSS-BFGS was shown at the end of this paper. The result shown that in term of iteration number ni and function evaluation nf, our alternative step size is more effective than the original BFGS algorithm.
 

Keyword : exact line search, step size, BFGS, differebtiable, superlinearly convergence
DOI : jusps-B
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Article No. 36
A result on superstability
Kiran Shrivastava
Department of Mathematics, S.N.P.G.G., College, Bhopal (INDIA)
Abstract :

In this paper it is shown that a binary function on a normed linear space that satisfies a condition which implies approximate associativity, is superstable.
 

Keyword : Normed space, associativity, superstability.
DOI : jusps-B
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