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Journal of the Korea Society for Industrial and Applied Mathematics
Journal Basic Information
pISSN :
1226-9433
eISSN :
1229-0645
Journal DOI :
10.12941/jksiam
Frequency :
Others
Publisher:
The Korean Society for Industrial and Applied Mathematics
Editor in Chief :
Volume & Issues
Volume 9, Issue 2 - Dec 2005
Volume 9, Issue 1 - Jun 2005
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1
NEW TAYLOR-LIKE EXPANSIONS FOR FUNCTIONS OF TWO VARIABLES AND ESTIMATES OF THEIR REMAINDERS
Dragomir, S.S. ; Qi, Feng ; Hanna, G. ; Cerone, P. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 1~15
Abstract
In this article, a generalisation of Sard's inequality for Appell polynomials is obtained. Estimates for the remainder are also provided.
2
THE STABILITY IN AN INCLINED LAYER OF VISCOELASTIC FLUID FLOW OF HYDROELECTRIC NATURAL CONVECTION
El-Bary, A.A. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 17~27
Abstract
The problem of the onset stability in an inclined layer of dielectric viscoelastic fluid (Walter's liquid B') is studied. The analysis is made under the simultaneous action of a normal a.c. electric field and the natural convection flow due to uniformly distributed internal heat sources. The power series method used to obtain the eigen value equation which is then solved numerically to obtain the stable and unstable solutions. Numerical results are given and illustrated graphically.
3
A SURFACE RECONSTRUCTION METHOD FOR SCATTERED POINTS ON PARALLEL CROSS SECTIONS
Kim, Phil-Su ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 29~43
Abstract
We consider a surface reconstruction problem from geometrical points (i.e., points given without any order) distributed on a series of smooth parallel cross sections in
. To solve the problem, we utilize the natural points ordering method in
, described in [18], which is a method of reconstructing a curve from a set of sample points and is based on the concept of diffusion motions of a small object from one point to the other point. With only the information of the positions of these geometrical points, we construct an acceptable surface consisting of triangular facets using a heuristic algorithm to link a pair of parallel cross-sections constructed via the natural points ordering method. We show numerical simulations for the proposed algorithm with some sets of sample points.
4
INFLUENCE OF THERMAL CONDUCTIVITY AND VARIABLE VISCOSITY ON THE FLOW OF A MICROPOLAR FLUID PAST A CONTINUOUSLY MOVING PLATE WITH SUCTION OR INJECTION
Salem, A.M. ; Odda, S.N. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 45~53
Abstract
This paper investigates the influence of thermal conductivity and variable viscosity on the problem of micropolar fluid in the presence of suction or injection. The fluid viscosity is assumed to vary as an exponential function of temperature and the thermal conductivity is assumed to vary as a linear function of temperature. The governing fundamental equations are approximated by a system of nonlinear ordinary differential equations and are solved numerically by using shooting method. Numerical results are presented for the distribution of velocity, microrotation and temperature profiles within the boundary layer. Results for the details of the velocity, angular velocity and temperature fields as well as the friction coefficient, couple stress and heat transfer rate have been presented.
5
GENERALIZED DIFFERENCE METHODS FOR ONE-DIMENSIONAL VISCOELASTIC PROBLEMS
Li, Huanrong ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 55~64
Abstract
In this paper, generalized difference methods(GDM) for one-dimensional viscoelastic problems are proposed and analyzed. The new initial values are given in the generalized difference scheme, so we obtain optimal error estimates in
and
as well as some superconvergence estimates in
between the GDM solution and the generalized Ritz-Volterra projection of the exact solution.
6
EXISTENCE OF SOLUTIONS OF FUZZY DELAY INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION
Balachandran, K. ; Kanagarajan, K. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 65~74
Abstract
In this paper we prove the existence of solutions of fuzzy delay integrodifferential equations with nonlocal condition. The results are obtained by using the fixed point principles.
7
INVERSE HEAT CONDUCTION PROBLEM IN A THIN CIRCULAR PLATE AND ITS THERMAL DEFLECTION
Tikhe, A.K. ; Deshmukh, K.C. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 75~82
Abstract
An inverse problem of transient heat conduction in a thin finite circular plate with the given temperature distribution on the interior surface of a thin circular plate being a function of both time and position has been solved with the help of integral transform technique and also determine the thermal deflection on the outer curved surface of a thin circular plate defined as
. The results, obtained in the series form in terms of Bessel's functions, are illustrated numerically.
8
A NEW ALGORITHM OF EVOLVING ARTIFICIAL NEURAL NETWORKS VIA GENE EXPRESSION PROGRAMMING
Li, Kangshun ; Li, Yuanxiang ; Mo, Haifang ; Chen, Zhangxin ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 83~89
Abstract
In this paper a new algorithm of learning and evolving artificial neural networks using gene expression programming (GEP) is presented. Compared with other traditional algorithms, this new algorithm has more advantages in self-learning and self-organizing, and can find optimal solutions of artificial neural networks more efficiently and elegantly. Simulation experiments show that the algorithm of evolving weights or thresholds can easily find the perfect architecture of artificial neural networks, and obviously improves previous traditional evolving methods of artificial neural networks because the GEP algorithm imitates the evolution of the natural neural system of biology according to genotype schemes of biology to crossover and mutate the genes or chromosomes to generate the next generation, and the optimal architecture of artificial neural networks with evolved weights or thresholds is finally achieved.
9
MOD M NORMALITY OF
Ahn, Young-Ho ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 91~97
Abstract
If ${\beta}\;>\;1$, then every non-negative number x has a
, i.e.,
where
, and so on ([x] denotes the integral part and (x) the fractional part of the real number x). Let T be a transformation on [0,1) defined by
. It is well known that the relative frequency of
in
of x is described by the T-invariant absolutely continuous measure
. In this paper, we show the mod M normality of the sequence
.
10
FUNCTION APPROXIMATION OVER TRIANGULAR DOMAIN USING CONSTRAINED Legendre POLYNOMIALS
Ahn, Young-Joon ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 9, issue 2, 2005, Pages 99~106
Abstract
We present a relation between the orthogonality of the constrained Legendre polynomials over the triangular domain and the BB (
) coefficients of the polynomials using the equivalence of orthogonal complements. Using it we also show that the best constrained degree reduction of polynomials in BB form equals the best approximation of weighted Euclidean norm of coefficients of given polynomial in BB form from the coefficients of polynomials of lower degree in BB form.