• Title/Summary/Keyword: Difference method

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Study on the Phase Interface Tracking Numerical Schemes by Level Set Method (Level Set 방법에 의한 상경계 추적 수치기법 연구)

  • Kim, Won-Kap;Chung, Jae-Dong
    • Proceedings of the SAREK Conference
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    • 2006.06a
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    • pp.116-121
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    • 2006
  • Numerical simulations for dendritic growth of crystals are conducted in this study by the level set method. The effect of order of difference is tested for reinitialization error in simple problems and authors founded in case of 1st order of difference that very fine grids have to be used to minimize the error and higher order of difference is desirable to minimize the reinitialization error The 2nd and 4th order Runge-Kutta scheme in time and 3rd and 5th order of WENO schemes with Godunov scheme are applied for space discretization. Numerical results are compared with the analytical theory, phase-field method and other researcher's level set method.

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FINITE DIFFERENCE METHOD FOR THE TWO-DIMENSIONAL BLACK-SCHOLES EQUATION WITH A HYBRID BOUNDARY CONDITION

  • HEO, YOUNGJIN;HAN, HYUNSOO;JANG, HANBYEOL;CHOI, YONGHO;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.23 no.1
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    • pp.19-30
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    • 2019
  • In this paper, we develop an accurate explicit finite difference method for the two-dimensional Black-Scholes equation with a hybrid boundary condition. In general, the correlation term in multi-asset options is problematic in numerical treatments partially due to cross derivatives and numerical boundary conditions at the far field domain corners. In the proposed hybrid boundary condition, we use a linear boundary condition at the boundaries where at least one asset is zero. After updating the numerical solution by one time step, we reduce the computational domain so that we do not need boundary conditions. To demonstrate the accuracy and efficiency of the proposed algorithm, we calculate option prices and their Greeks for the two-asset European call and cash-or-nothing options. Computational results show that the proposed method is accurate and is very useful for nonlinear boundary conditions.

A photo-thermal interaction in semi-conductor medium with cylindrical cavity by analytical and numerical methods

  • Abbas, Ibrahim A.
    • Geomechanics and Engineering
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    • v.25 no.4
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    • pp.267-273
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    • 2021
  • In this work, we compare the analytical solutions with the numerical solutions for photothermal interactions in semiconductor medium containing cylindrical cavity. This paper is devoted to a study of the photothermal interactions in semiconductor medium in the context of the coupled photo-thermal model. The basic equations are formulated in the domain of Laplace transform and the eigenvalue scheme are used to get the analytical solutions. The numerical solution is obtained by using the implicit finite difference method (IFDM). A comparison between the analytical solution and the numerical solutions are obtained. It is found that the implicit finite difference method (IFDM) is applicable, simple and efficient for such problems.

COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

  • GELU, FASIKA WONDIMU;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.25-45
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    • 2022
  • In this study, the non-standard finite difference method for the numerical solution of singularly perturbed parabolic reaction-diffusion subject to Robin boundary conditions has presented. To discretize temporal and spatial variables, we use the implicit Euler and non-standard finite difference method on a uniform mesh, respectively. We proved that the proposed scheme shows uniform convergence in time with first-order and in space with second-order irrespective of the perturbation parameter. We compute three numerical examples to confirm the theoretical findings.

An Empirical Study on the Fitness of Casting Body Depending to Liquid Temperature of Gypsum-bonded and Phosphate-bonded Investment (석고계(石膏系) 및 인산염계(燐酸鹽系) 매몰재의 Liquid 온도에 따른 주조체 적합도에 관한 실험적 연구)

  • Kim, Sa-Hak
    • Journal of Technologic Dentistry
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    • v.18 no.1
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    • pp.5-13
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    • 1996
  • Among investment for dental casting, we selected 4 kinds of investment(2 Gypsum-bonded and 2 Phosphate-bonded) and prepard 120 specimen by dividing into two cast of using Ring and Ringless case from $0^{\circ}C$ to $30^{\circ}C$ at interval of $10^{\circ}C$ to invest in fluence on the fitness of casting body according to the liquid temperature of Gypsum-bonded and Phosphate-bonded investment. The result was as follows; 1. Gypsum-bonded investment showed best fitness at $30^{\circ}C$ representing difference of singnificance in order of $20^{\circ}C$, $10^{\circ}C$, and $0^{\circ}C$, From the difference of investment, Deguvest was proved superior than Cristobalite. 2. Phosphate-bonded investment showed no severe difference at $10^{\circ}C$ and $20^{\circ}C$, but showed better fitness at $10^{\circ}C$, representing difference of significance in order of $0^{\circ}C$, $30^{\circ}C$, difference of significance was shown between investment also. 3. In Ringless investing method, there were no difference of significance in Deguvest CF and Unovest. 4. When using a Ring with a Sheet of asbestos liner installed, there was some difference of significance representing superiority of Ringless investing method.

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Development of Compact Phase-difference Controller for an Ultrasonic Rotary Motor (회전형 초음파모터의 소형 위상차 제어기 개발)

  • Yi Dong-Chang;Lee Myoung-Hoon;Lee Eu-Hark;Lee Sun-Pyo
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.8 s.185
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    • pp.64-71
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    • 2006
  • In this paper, a uniform speed controller for an ultrasonic rotary motor is developed using the phase-difference method. The phase difference method uses traveling waves to drive the ultrasonic motor. The traveling waves are obtained by adding two standing waves that have a different phase to each other. A compact phase-difference driver system is designed and integrated by combining VCO(Voltage Controlled Oscillator) and phase shifter. Theoretically the relationship between the phase difference in time and the rotational speed of the ultrasonic motor is sine function, which is verified by experiments. Then a series of experiments under various loading conditions are conducted to characterize the motor's performance that is the relationship between the speed and torque. Proportional-integral control is adopted for the uniform speed control. The proportional control unit calculates the compensating phase-difference using the rotating speed which is measured by an encoder and fed back. Integral control is used to eliminate steady-state errors. Differential control for reducing overshoot is not used since the response of ultrasonic motor is prompt due to its low inertia and friction-driving characteristics. The developed controller demonstrates reasonable performance overcoming disturbing torque and the changes in material properties due to continuous usage.

Elasto-Plastic Behavior of Shear-Deformed Steel Braced Frame Using Finite Difference Method (유한차분법을 이용한 전단변형형 강가새 구조물의 탄소성 거동에 관한 연구)

  • 박일민
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.445-454
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    • 2001
  • This paper is to study elasto-plastic behavior of shear deformed braced frames. Two types of frames are considered , X-type and K-type. The slenderness ratio has been used in the parametric study. The stress-strain curve is assumed tri-linear model, and considered the strain hardening range. The finite difference method is used to solve the load-displacement relationship of the braced frames. For the elastic slope and maximum load, experimental results are compared with theoretical results and its difference remains less than 10%. Therefore suggested method in this paper is reasonable.

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Investigation on the Applicability for Method of Setting Time Difference by Super Retarding Agent for Reducing Hydration Heat of Transfer Girder Mass Concrete (전이보 매스콘크리트의 수화열저감을 위한 초지연제 응결시간차 공법의 적용가능성에 대한 검토)

  • Yoon Seob;Hwang Yin Seong;Baik Byung Hoon;Han Cheon Goo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.128-131
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    • 2004
  • This paper is to investigate the mock up test results of mass concrete for transfer girder using setting time difference with super retarding agent(SRA) to reduce hydration heat. According to test results, the temperature history of plain concrete without placing lift had a steep rising curvature, and plain concrete had a big temperature difference between surface and middle section of mass concrete, which may result in occurrence of temperature crack. However, considering placing method B, because setting time of middle section concrete was retarded with an increase in SRA contents, higher hydration heat temperature was observed at surface section concrete compared with that at middle section concrete at early age, which can lower the possibility of hydration heat crack. In case of placing method C, although peak temperature of hydration heat was much lower, at early age, high crack occurrence possibility of the hydration heat attributable to the big temperature difference between middle section and bottom section of concrete was expected at bottom section concrete. Therefore, the structure above the ground like transfer girder is not applicable to consider the placing method C.

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Extraction or gaze point on display based on EOG for general paralysis patient (전신마비 환자를 위한 EOG 기반 디스플레이 상의 응시 좌표 산출)

  • Lee, D.H.;Yu, J.H.;Kim, D.H.
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.5 no.1
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    • pp.87-93
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    • 2011
  • This paper proposes a method for extraction of the gaze point on display using EOG(Electrooculography) signal. Based on the linear property of EOG signal, the proposed method corrects scaling difference, rotation difference and origin difference between coordinate of using EOG signal and coordinate on display, without adjustment using the head movement. The performance of the proposed method was evaluated by measuring the difference between extracted gaze point and displayed circle point on the monitor with 1680*1050 resolution. Experimental results show that the average distance errors at the gaze points are 3%(56pixel) on x-axis, 4%(47pixel) on y-axis, respectively. This method can be used to human computer interface of pointing device for general paralysis patients or HCI for VR game application.

Biological Monitoring on the Absorption of Antineoplastic Drugs in Nursing Personnel (항암제 취급간호사의 항암제 체내흡수에 관한 조사)

  • 김봉임
    • Journal of Korean Academy of Nursing
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    • v.27 no.3
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    • pp.520-530
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    • 1997
  • Antineoplastic agents may exhibit effects not only in patients therapeutically exposed, but also in health workers who prepare and administer these drugs. This study was done to clarify whether nurses who handle anticancer drugs show signs of drug absorption. The experimental group was 14 nurses handling anticancer drugs at three medical wards of a hospital in J city ; the control group was 12 psychiatric nurses at the same hospital. The test materials were the nurses' 24hr urine specimens, which were concentrated by XAD-2 column chromatograpy. Tester strains were TA98(±S9mix), TA100(±S9 mix), TA1535(±S9 mix) and TA1537(±S9 mix) : the salmonella mammalian microsomal test (Ames test) was used for the urinary mutagenicity assay. The results are summarized as follow : 1. In qualitative analysis of the results, both experimental group and control group showed 15.4% urine toxicity. 2. The experimental group revealed significantly higher urinary mutagenicity both in the activation method test and non-activation method test of the tester strains TA98, TA100 and TA1535. In the case of TA1537, the two groups showed no difference in the non-activation method test, but the activation method revealed a difference. 3. In urinary mutagenicity of the experimental group by ward career, there was a significant difference between the group with more than 20 months experience and the group with less than 20 months on the tester strains TA98, TA100, and TA1537. No Significant difference was found between two groups by the tester strain TA1535.

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