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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal of applied mathematics & informatics
Journal Basic Information
Journal DOI :
The Korean Society of Computational and Applied Mathematics
Editor in Chief :
Cheon-Seoung Ryoo / Hong-Tae Shim
Volume & Issues
Volume 32, Issue 5_6 - Sep 2014
Volume 32, Issue 3_4 - May 2014
Volume 32, Issue 1_2 - Jan 2014
Selecting the target year
THE ROLE OF INSTANT NUTRIENT REPLENISHMENT ON PLANKTON SPECIES IN A CLOSED SYSTEM
Dhar, J. ; Sharma, A.K. ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 555~566
DOI : 10.14317/jami.2014.555
In this paper, we formulate two chemostat type models of phytoplankton and zooplankton population dynamics with instant nutrient recycling to study the role of viral infection on phytoplankton. The infection is transmitted only among phytoplankton population and it makes them more vulnerable to predation by zooplankton. It is observe that the chemostat system is very stable in the absence of viral infection but the presence of viral infection make the chemostat system sensitive with respect to the grazing rate of infected-phytoplankton by zooplankton. Further, if the grazing rate is less than certain threshold the system remain stable and exhibits Hopf-bifurcation after crossing it.
RICHARDSON EXTRAPOLATION OF ITERATED DISCRETE COLLOCATION METHOD FOR EIGENVALUE PROBLEM OF A TWO DIMENSIONAL COMPACT INTEGRAL OPERATOR
Panigrahi, Bijaya Laxmi ; Nelakanti, Gnaneshwar ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 567~584
DOI : 10.14317/jami.2014.567
In this paper, we consider approximation of eigenelements of a two dimensional compact integral operator with a smooth kernel by discrete collocation and iterated discrete collocation methods. By choosing numerical quadrature appropriately, we obtain convergence rates for gap between the spectral subspaces, and also we obtain superconvergence rates for eigenvalues and iterated eigenvectors. We then apply Richardson extrapolation to obtain further improved error bounds for the eigenvalues. Numerical examples are presented to illustrate theoretical estimates.
DISCONTINUOUS GALERKIN METHOD FOR NONLINEAR PARABOLIC PROBLEMS WITH MIXED BOUNDARY CONDITION
Ohm, Mi Ray ; Lee, Hyun Yong ; Shin, Jun Yong ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 585~598
DOI : 10.14317/jami.2014.585
In this paper we consider the nonlinear parabolic problems with mixed boundary condition. Under comparatively mild conditions of the coefficients related to the problem, we construct the discontinuous Galerkin approximation of the solution to the nonlinear parabolic problem. We discretize spatial variables and construct the finite element spaces consisting of discontinuous piecewise polynomials of which the semidiscrete approximations are composed. We present the proof of the convergence of the semidiscrete approximations in
ON THE DYNAMICS OF
Ahmed, A.M. ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 599~607
DOI : 10.14317/jami.2014.599
In this paper, we investigate the behavior of solutions of the difference equation
GLOBAL CONVERGENCE METHODS FOR NONSMOOTH EQUATIONS WITH FINITELY MANY MAXIMUM FUNCTIONS AND THEIR APPLICATIONS
Pang, Deyan ; Ju, Jingjie ; Du, Shouqiang ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 609~619
DOI : 10.14317/jami.2014.609
Nonsmooth equations with finitely many maximum functions is often used in the study of complementarity problems, variational inequalities and many problems in engineering and mechanics. In this paper, we consider the global convergence methods for nonsmooth equations with finitely many maximum functions. The steepest decent method and the smoothing gradient method are used to solve the nonsmooth equations with finitely many maximum functions. In addition, the convergence analysis and the applications are also given. The numerical results for the smoothing gradient method indicate that the method works quite well in practice.
STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS OF ASYMPTOTICALLY QUASI-𝜙-NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE
Jeong, Jae Ug ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 621~633
DOI : 10.14317/jami.2014.621
In this paper, we introduce a general iterative algorithm for asymptotically quasi-
-nonexpansive mappings in the intermediate sense to have the strong convergence in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding results announced by many authors.
SOME NEW INEQUALITIES OF PERTURBED MIDPOINT RULE
Chen, Feixiang ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 635~647
DOI : 10.14317/jami.2014.635
In this paper, a generalized perturbed midpoint rule is established. Various error bounds for this generalization are also obtained.
THERMAL EFFECTS OF EYELID IN HUMAN EYE TEMPERATURE MODEL
Gokul, K.C. ; Gurung, D.B. ; Adhikary, P.R. ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 649~663
DOI : 10.14317/jami.2014.649
Presence of eyelid on anterior ocular surface and its thermal effects play significant role in maintaining eye temperature. In most of the literatures of thermal modeling in human eye, the eyelid is not considered as an eye component. In this paper, finite element model is developed to investigate the thermal effects of eyelid closure and opening in human eye. Based on different properties and parameter values reported in literatures, the bio-heat transfer process is simulated and compared with experimental results in steady and transient state cases. The sensitivity analysis using various ambient temperatures, evaporation rates, blood temperatures and lens thermal conductivities is carried out. The temperature values so obtained in open eye show a good agreement with past results. The closure of eyelid is found to increase/decrease the eye temperature significantly than its opening, when the parameter values are considered to be at extreme.
PRICING OF POWER OPTIONS UNDER THE REGIME-SWITCHING MODEL
Kim, Jerim ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 665~673
DOI : 10.14317/jami.2014.665
Power options have payoffs that are determined by the price of the underlying asset raised to some power. In this paper, power options are considered under a regime-switching model which can capture complex asset dynamics by permitting switching between different regimes. The pricing formulas for the Laplace transforms of power options are obtained. The prices of power options are calculated using the formulas and compared with the results of the Monte Carlo simulation.
SOME NEW RESULTS ON IRREGULARITY OF GRAPHS
Tavakoli, M. ; Rahbarnia, F. ; Ashra, A.R. ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 675~685
DOI : 10.14317/jami.2014.675
Suppose G is a simple graph. The irregularity of G, irr(G), is the summation of imb(e) over all edges
, where imb(e) = |deg(u)-deg(v)|. In this paper, we investigate the behavior of this graph parameter under some old and new graph operations.
ZWEIER I-CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTION
Khan, Vakeel A. ; Khan, Nazneen ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 687~695
DOI : 10.14317/jami.2014.687
In this article we introduce the zweier double sequence spaces
(M) using the Orlicz function M. We study the algebraic properties and inclusion relations on these spaces.
BOUNDEDNESS IN PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS
Choi, Sang Il ; Im, Dong Man ; Goo, Yoon Hoe ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 697~705
DOI : 10.14317/jami.2014.697
In this paper, we investigate bounds for solutions of the nonlinear functional differential systems.
SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF VARIATIONAL DISCRETIZATION FOR ELLIPTIC CONTROL PROBLEMS
Hua, Yuchun ; Tang, Yuelong ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 707~719
DOI : 10.14317/jami.2014.707
In this paper, we investigate a variational discretization approximation of elliptic optimal control problems with control constraints. The state and the co-state are approximated by piecewise linear functions, while the control is not directly discretized. By using some proper intermediate variables, we derive a second-order convergence in
-norm and superconvergence between the numerical solution and elliptic projection of the exact solution in
-norm or the gradient of the exact solution and recovery gradient in
-norm. Then we construct a posteriori error estimates by using the superconvergence results and do some numerical experiments to confirm our theoretical results.
LARGE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATION OF MIXED TYPE
Zhang, Yuan ; Yang, Zuodong ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 721~736
DOI : 10.14317/jami.2014.721
We consider the equation
, where p, q are nonnegative continuous functions and 0 <
. Under several hypotheses on p(x) and q(x), we obtain existence and nonexistence of blow-up solutions both for the superlinear and sublinear cases. Existence and nonexistence of entire bounded solutions are established as well.
STUDY ON ANALYSIS OF SIGNIFICANCE OF SYMPTOM-TREATMENT METHOD COMBINATION
Oh, Yong Taek ; Nam, Bo Ryeong ; Kim, An Na ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 737~746
DOI : 10.14317/jami.2014.737
Treatment method refers to a principle or method for treating diseases in Traditional Korean Medicine(TKM). As doctors determine the ideal treatment for a patient's disease or symptom, they are also able to prescribe effective treatment means for the diseases or symptom such as medicinal materials, prescription, acupuncture and moxibustion. Therefore, if significant symptom-treatment method combinations are found from literature or database, proper treatment means for the patient's diseases or symptom may be presented to TKM doctors and enhanced treatment accuracy and efficiency can be expected. This study aims to analyze the relation between symptom and treatment method by interpreting hypotheses through null hypotheses to find significant symptom-treatment method combinations. This combinations suggested in this study will be compared with TKM experts analysis result to find an objective analysis method and eventually apply the method to medical big data, e.g., a huge amount of literature or treatment records.
A HIGHER ORDER ITERATIVE ALGORITHM FOR MULTIVARIATE OPTIMIZATION PROBLEM
Chakraborty, Suvra Kanti ; Panda, Geetanjali ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 747~760
DOI : 10.14317/jami.2014.747
In this paper a higher order iterative algorithm is developed for an unconstrained multivariate optimization problem. Taylor expansion of matrix valued function is used to prove the cubic order convergence of the proposed algorithm. The methodology is supported with numerical and graphical illustration.
NONCONFORMING SPECTRAL ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS
Kumar, N. Kishore ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 761~781
DOI : 10.14317/jami.2014.761
An exponentially accurate nonconforming spectral element method for elasticity systems with discontinuities in the coefficients and the flux across the interface is proposed in this paper. The method is least-squares spectral element method. The jump in the flux across the interface is incorporated (in appropriate Sobolev norm) in the functional to be minimized. The interface is resolved exactly using blending elements. The solution is obtained by the preconditioned conjugate gradient method. The numerical solution for different examples with discontinuous coefficients and non-homogeneous jump in the flux across the interface are presented to show the efficiency of the proposed method.
ON POLAR TAXICAB GEOMETRY IN A PLANE
Park, Hyun Gyu ; Kim, Kyung Rok ; Ko, Il Seog ; Kim, Byung Hak ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 783~790
DOI : 10.14317/jami.2014.783
Most distance functions, including taxicab distance, are defined on Cartesian plane, and recent studies on distance functions have been mainly focused on Cartesian plane. However, most streets in cities include not only straight lines but also curves. Therefore, there is a significant need for a distance function to be defined on a curvilinear coordinate system. In this paper, we define a new function named polar taxicab distance, using polar coordinates. We prove that this function satisfies the conditions of distance function. We also investigate the geometric properties and classifications of circles in the plane with polar taxicab distance.
THIRD ORDER THREE POINT FUZZY BOUNDARY VALUE PROBLEM UNDER GENERALIZED DIFFERENTIABILITY
Prakash, P. ; Uthirasamy, N. ; Priya, G. Sudha ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 791~805
DOI : 10.14317/jami.2014.791
In this article, we investigate third order three-point fuzzy boundary value problem to using a generalized differentiability concept. We present the new concept of solution of third order three-point fuzzy boundary value problem. Some illustrative examples are provided.
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF MATRIX LYAPUNOV INTEGRO DIFFERENTIAL EQUATIONS
Sarma, Goteti V.R.L. ; Hugo, Alfred ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 807~816
DOI : 10.14317/jami.2014.807
The asymptotic behavior of solutions of Lyapunov type matrix Volterra integro differential equation, in which the coefficient matrices are not stable, is studied by the method of reduction.
STABILITY OF A CUBIC FUNCTIONAL EQUATION IN 2-NORMED SPACES
Kim, Chang Il ; Jung, Kap Hun ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 817~825
DOI : 10.14317/jami.2014.817
In this paper, we prove the generalized Hyers-Ulam stability of the following cubic funtional equation f(2x + y) + f(2x - y) = 2f(x + 2y) - 4f(x + y) + 18f(x) - 12f(y) by the direct method in 2-normed spaces.
CAYLEY INTUITIONISTIC FUZZY GRAPHS
Akram, Muhammad ; Karunambigai, M.G. ; Kalaivani, O.K. ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 827~842
DOI : 10.14317/jami.2014.827
In this paper, we introduce the notion of Cayley intuitionistic fuzzy graphs and investigate some of their properties. We present some interesting properties of intuitionistic fuzzy graphs in terms of algebraic structures. We discuss connectedness in Cayley intuitionistic fuzzy graphs. We also describe different types of
-connectedness in Cayley intuitionistic fuzzy graphs.
GLOBAL DYNAMICS OF A NON-AUTONOMOUS RATIONAL DIFFERENCE EQUATION
Ocalan, Ozkan ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 843~848
DOI : 10.14317/jami.2014.843
In this paper, we investigate the boundedness character, the periodic character and the global behavior of positive solutions of the difference equation
is a two periodic sequence of nonnegative real numbers and the initial conditions
are arbitrary positive real numbers.
ON MEDIAL B-ALGEBRAS
Kim, Young Hee ;
Journal of applied mathematics & informatics, volume 32, issue 5_6, 2014, Pages 849~856
DOI : 10.14317/jami.2014.849
In this paper we introduce the notion of medial B-algebras, and we obtain a fundamental theorem of B-homomorphism for B-algebras.