• Title/Summary/Keyword: second differential

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Numerical Solution of Second Order Linear Partial Differential Equations using Agricultural Systems Application Platform (농업시스템응용플랫폼을 이용한 2계 편미분 방정식의 해석)

  • Lee, SungYong;Kim, Taegon;Suh, Kyo;Han, Yicheol;Lee, Jemyung;Yi, Hojae;Lee, JeongJae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.58 no.1
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    • pp.81-90
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    • 2016
  • The Agricultural Systems Application Platform (ASAP) provides bottom-up modelling and simulation environment for agricultural engineer. The purpose of this study is to expand usability of the ASAP to the second order partial differential equations: elliptic equations, parabolic equations, and hyperbolic equations. The ASAP is a general-purpose simulation tool which express natural phenomenon with capsulized independent components to simplify implementation and maintenance. To use the ASAP in continuous problems, it is necessary to solve partial differential equations. This study shows usage of the ASAP in elliptic problem, parabolic problem, and hyperbolic problem, and solves of static heat problem, heat transfer problem, and wave problem as examples. The example problems are solved with the ASAP and Finite Difference method (FDM) for verification. The ASAP shows identical results to FDM. These applications are useful to simulate the engineering problem including equilibrium, diffusion and wave problem.

Analysis of the Power for a Decanter-Type Centrifuge (II) - Total Power and the Power-Transmission Mechanism - (Decanter형 원심분리기의 동력 계산 (II) - 총동력과 동력전달 기구 -)

  • Suh, Yong-Kweon;Han, Geun-Jo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.7
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    • pp.938-947
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    • 2003
  • In this paper, we derived the formula for estimating the power of the electric motors needed to operate the Decanter-type centrifuge. In the derivation of the formula the sludge-removal torque is to be supplied from the formula derived in the first paper. The intricate nature of the transmission mechanism in the planetary gear trains of the sludge-removal power and torque has been clarified in this second paper. In particular we considered two-motor system, where the main motor drives the machine while the differential-speed control motor plays the role of braking in adjusting the differential speed. Sample calculation for the specific design treated in the first paper showed that the selection criterion for the main motor depends on the lower limit of the differential speed; when the lower limit is set low, it should be selected based on the steadily operating power, while it should be selected based on the starting power when the lower limit is set high. The total power required by both the main motor and the differential-speed control motor increases as the differential speed is decreased. It is suggested that the power loss in the differential-speed control motor could be minimized by attaching an electric generator to it.

The Effects of Parental Differential Treatment and Social Support on the Self-esteem and Internalized Problems among Adolescents with Siblings with Special Needs (장애형제가 있는 청소년이 지각한 부모의 차별적 양육행동과 사회적 지지가 자아존중감 및 내재화 문제에 미치는 영향)

  • Lee, Seon Yeong;Lim, Ji Young
    • Korean Journal of Child Studies
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    • v.35 no.2
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    • pp.63-84
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    • 2014
  • The purpose of this study was to explore the effects of parental differential treatment and social support perceived by adolescents with siblings with special needs on their self-esteem and internalized problems. The subjects comprised one hundred 12- to 18-year-old adolescents with siblings with special needs. The major results of this study were as follows. First, there were significant differences in adolescents' self-esteem by participation in support programs for siblings of children with special needs. Second, there was no significant effect of parental differential treatment on adolescents' self-esteem. Third, there was a significant effect of social support (family, friends, and teachers) on adolescents' self-esteem. Fourth, there was no effects of paternal differential parenting on adolescents' internalized problems. However, there was a significant effect of differential maternal affection on adolescents' internalized problems. Fifth, there was a significant effect of social support, especially in terms of support provided by friends, on adolescents' internalized problems. In conclusion, social support and differential maternal affection both have an important role in adolescents' self-esteem and internalized problems.

ONE-PARAMETER GROUPS AND COSINE FAMILIES OF OPERATORS ON WHITE NOISE FUNCTIONS

  • Chung, Chang-Hoon;Chung, Dong-Myung;Ji, Un-Cig
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.687-705
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    • 2000
  • The main purpose of this paper is to study differentiable one-parameter groups and cosine families of operators acting on white noise functions and their associated infinitesimal generators. In particular, we prove the heredity of differentiable one-parameter group and cosine family of operators under the second quantization of the Cuchy problems for the first and second or der differential equations.

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