권호 표지

Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)

  • 연3회간
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)

과학기술표준분류

  • 수학 ＞ 응용수학

Aim & Scope

This is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical Informatics. Thus, the major areas, such as Numerical Analysis, Discrete Optimization, Linear and Nonlinear Programming, Theory of Computation(Computational Complexity, Automata and Formal Languages), Control Theory, Theory of Algorithms, Computational Logic, Applied Combinatorics (including graphs, codes, and designs), Coding Theory, Cryptographics, Big data, AI, Fuzzy Theory with applications, Differential Equations with applications, etc., are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics, and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.

KSCI KCI SCOPUS

제32권5_6호

  1. Dhar, J.;Sharma, A.K. 555
    https://doi.org/10.14317/jami.2014.555 PDF KSCI KPUBS HTML
    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.
  2. Panigrahi, Bijaya Laxmi;Nelakanti, Gnaneshwar 567
    https://doi.org/10.14317/jami.2014.567 PDF KSCI KPUBS HTML
    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.
  3. Ohm, Mi Ray;Lee, Hyun Yong;Shin, Jun Yong 585
    https://doi.org/10.14317/jami.2014.585 PDF KSCI KPUBS HTML
    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 $L^{\infty}(H^1)$ and $L^{\infty}(L^2)$ normed spaces.
  4. Ahmed, A.M. 599
    https://doi.org/10.14317/jami.2014.599 PDF KSCI KPUBS HTML
    In this paper, we investigate the behavior of solutions of the difference equation $$x_{n+1}=\frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}},\;n=0,1,2,{\ldots}$$ where $k{\in}\{1,2\}$, $a{\geq}0$, and $x_{-j}$ > 0, $j=0,1,{\ldots},k$.
  5. Pang, Deyan;Ju, Jingjie;Du, Shouqiang 609
    https://doi.org/10.14317/jami.2014.609 PDF KSCI KPUBS HTML
    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.
  6. Jeong, Jae Ug 621
    https://doi.org/10.14317/jami.2014.621 PDF KSCI KPUBS HTML
    In this paper, we introduce a general iterative algorithm for asymptotically quasi-${\phi}$-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.
  7. Chen, Feixiang 635
    https://doi.org/10.14317/jami.2014.635 PDF KSCI KPUBS HTML
    In this paper, a generalized perturbed midpoint rule is established. Various error bounds for this generalization are also obtained.
  8. Gokul, K.C.;Gurung, D.B.;Adhikary, P.R. 649
    https://doi.org/10.14317/jami.2014.649 PDF KSCI KPUBS HTML
    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.
  9. Kim, Jerim 665
    https://doi.org/10.14317/jami.2014.665 PDF KSCI KPUBS HTML
    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.
  10. Tavakoli, M.;Rahbarnia, F.;Ashra, A.R. 675
    https://doi.org/10.14317/jami.2014.675 PDF KSCI KPUBS HTML
    Suppose G is a simple graph. The irregularity of G, irr(G), is the summation of imb(e) over all edges $uv=e{\in}G$, 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.
  11. Khan, Vakeel A.;Khan, Nazneen 687
    https://doi.org/10.14317/jami.2014.687 PDF KSCI KPUBS HTML
    In this article we introduce the zweier double sequence spaces $_2Z^I$(M), $_2Z_0^I$(M) and $_2Z_{\infty}^I$(M) using the Orlicz function M. We study the algebraic properties and inclusion relations on these spaces.
  12. Choi, Sang Il;Im, Dong Man;Goo, Yoon Hoe 697
    https://doi.org/10.14317/jami.2014.697 PDF KSCI KPUBS HTML
    In this paper, we investigate bounds for solutions of the nonlinear functional differential systems.
  13. Hua, Yuchun;Tang, Yuelong 707
    https://doi.org/10.14317/jami.2014.707 PDF KSCI KPUBS HTML
    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 $L^2$-norm and superconvergence between the numerical solution and elliptic projection of the exact solution in $H^1$-norm or the gradient of the exact solution and recovery gradient in $L^2$-norm. Then we construct a posteriori error estimates by using the superconvergence results and do some numerical experiments to confirm our theoretical results.
  14. Zhang, Yuan;Yang, Zuodong 721
    https://doi.org/10.14317/jami.2014.721 PDF KSCI KPUBS HTML
    We consider the equation ${\Delta}_mu=p(x)u^{\alpha}+q(x)u^{\beta}$ on $R^N(N{\geq}2)$, where p, q are nonnegative continuous functions and 0 < ${\alpha}{\leq}{\beta}$. 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.
  15. Oh, Yong Taek;Nam, Bo Ryeong;Kim, An Na 737
    https://doi.org/10.14317/jami.2014.737 PDF KSCI KPUBS HTML
    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.
  16. Chakraborty, Suvra Kanti;Panda, Geetanjali 747
    https://doi.org/10.14317/jami.2014.747 PDF KSCI KPUBS HTML
    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.
  17. Kumar, N. Kishore 761
    https://doi.org/10.14317/jami.2014.761 PDF KSCI KPUBS HTML
    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.
  18. Park, Hyun Gyu;Kim, Kyung Rok;Ko, Il Seog;Kim, Byung Hak 783
    https://doi.org/10.14317/jami.2014.783 PDF KSCI KPUBS HTML
    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.
  19. Prakash, P.;Uthirasamy, N.;Priya, G. Sudha 791
    https://doi.org/10.14317/jami.2014.791 PDF KSCI KPUBS HTML
    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.
  20. Sarma, Goteti V.R.L.;Hugo, Alfred 807
    https://doi.org/10.14317/jami.2014.807 PDF KSCI KPUBS HTML
    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.
  21. Kim, Chang Il;Jung, Kap Hun 817
    https://doi.org/10.14317/jami.2014.817 PDF KSCI KPUBS HTML
    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.
  22. Akram, Muhammad;Karunambigai, M.G.;Kalaivani, O.K. 827
    https://doi.org/10.14317/jami.2014.827 PDF KSCI KPUBS HTML
    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 ${\alpha}$-connectedness in Cayley intuitionistic fuzzy graphs.
  23. Ocalan, Ozkan 843
    https://doi.org/10.14317/jami.2014.843 PDF KSCI KPUBS HTML
    In this paper, we investigate the boundedness character, the periodic character and the global behavior of positive solutions of the difference equation $$x_{n+1}=p_n+\frac{x_n}{x_{n-1}},\;n=0,1,{\cdots}$$ where $\{p_n\}$ is a two periodic sequence of nonnegative real numbers and the initial conditions $x_{-1}$, $x_0$ are arbitrary positive real numbers.
  24. Kim, Young Hee 849
    https://doi.org/10.14317/jami.2014.849 PDF KSCI KPUBS HTML
    In this paper we introduce the notion of medial B-algebras, and we obtain a fundamental theorem of B-homomorphism for B-algebras.