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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal of the Korea Society for Industrial and Applied Mathematics
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The Korean Society for Industrial and Applied Mathematics
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Volume & Issues
Volume 13, Issue 4 - Dec 2009
Volume 13, Issue 3 - Sep 2009
Volume 13, Issue 2 - Jun 2009
Volume 13, Issue 1 - Mar 2009
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THERMAL INSTABILITY IN REACTIVE VISCOUS PLANE POISEUILLE / COUETTE FLOWS FOR TWO EXTREME THERMAL BOUNDARY CONDITIONS
Ajadi, Suraju Olusegun ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 73~86
The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentum equation was inserted into the energy equation due to dissipative effect of viscosity. The resulting energy equation was analyzed for criticality using the variational method technique. The problem is characterized by two parameters: the Nusselt number(N) and the dynamic parameter(
). We observed that the thermal and dynamical boundary conditions of the wall have led to a significant departure from known results. The influence of the variable pre-exponential factor, due to the numerical exponent m, also give further insight into the behavior of the system and the results expressed graphically and in tabular forms.
HEDGING OF OPTION IN JUMP-TYPE SEMIMARTINGALE ASSET MODEL
Oh, Jae-Pill ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 87~100
Hedging strategy for European option of jump-type semimartingale asset model, which is derived from stochastic differential equation whose driving process is a jump-type semimartingle, is discussed.
DUALITY AND SUFFICIENCY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH INVEXITY
Kim, Do-Sang ; Lee, Hyo-Jung ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 101~108
In this paper, we introduce generalized multiobjective fractional programming problem with two kinds of inequality constraints. Kuhn-Tucker sufficient and necessary optimality conditions are given. We formulate a generalized multiobjective dual problem and establish weak and strong duality theorems for an efficient solution under generalized convexity conditions.
SOLVING HIGHER-ORDER INTEGRO-DIFFERENTIAL EQUATIONS USING HE'S POLYNOMIALS
Mohyud-Din, Syed Tauseef ; Noor, Muhammad Aslam ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 109~121
In this paper, we use He's polynomials for solving higher order integro differential equations (IDES) by converting them to an equivalent system of integral equations. The He's polynomials which are easier to calculate and are compatible to Adomian's polynomials are found by using homotopy perturbation method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to verify the reliability and efficiency of the proposed method.
A COMPUTATIONAL MODEL FOR OSMOSIS PHENOMENA OF CELLS THROUGH SEMI-PERMEABLE MEMBRANES
Kim, Im-Bunm ; Ha, Tae-Young ; Sheen, Dong-Woo ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 123~140
The effect of a solute concentration difference on the osmotic transport of water through the semi-permeable membrane of a simple cell model is investigated. So far, most studies on osmotic phenomena are described by simple diffusion-type equations ignoring all fluid motion or described by Stokes flow. In our work, as the governing equations, we consider the coupled full Navier-Stokes equations which describe the fluid motion and the full transport equation that takes into account of convection and diffusion effects. A two dimensional finite difference model has been developed to simulate the velocity field, concentration field, and semi-permeable membrane movement. It is shown that the cell swells to regions of lower solute concentration due to the uneven water flux through the semi-permeable membrane. The simulation is applied on a red blood cell geometry and the relevant results are presented.
ADAPTIVE CVT-BASED REDUCED-ORDER MODELING OF BURGERS EQUATION
Piao, Guang-Ri ; Du, Qiang ; Lee, Hyung-Chun ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 141~159
In this article, we consider a weighted CVT-based reduced-order modelling for Burgers equation. Brief review of the CVT (centroidal Voronoi tessellation) approaches to reduced-order bases are provided. In CVT-reduced order modelling, we start with a snapshot set just as is done in a POD (Proper Orthogonal Decomposition)-based setting. So far, the CVT was researched with uniform density (
(y) = 1) to determine the basis elements for the approximatin subspaces. Here, we shall investigate the technique of CVT with nonuniform density as a procedure to determine the basis elements for the approximating subspaces. Some numerical experiments including comparison of two CVT (CVT-uniform and CVT-nonuniform)-based algorithm with numerical results obtained from FEM(finite element method) and POD-based algorithm are reported.
SIMULATIONS OF INK DIFFUSION ON PAPER USING VISIT COUNTS FROM RANDOM WALK SESSIONS
Kim, Hee-Chang ; Kang, Myung-Joo ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 2, 2009, Pages 161~167
An animated ink diffusion on paper is simulated through making a multiple sessions of random walks. The simulated random walk is built and validated against the diffusion model, then animated by varying the intensity thresholds of the accumulated visit counts on each pixels on an image. Two different random walk models are built one of which is a free random walk in that the walker has exactly same probability to move in any four or eight directions in each step. The other is a biased random walk that has a higher chance to go to a pixel that has more similar intensity value. The latter can be used to simulate an ink diffusion radiating through different texture of paper.