• 제목/요약/키워드: Two-Point Boundary Value Problem

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농촌마을 담장자원 조사연구 (A Study on State of Boundary Barriers Resources in Rural Villages)

  • 임종현;최수명;조중현
    • 농촌계획
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    • 제18권1호
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    • pp.17-28
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    • 2012
  • Functional mismatch and thought and plan-less material use of recently built boundary barriers in rural areas should greatly degrade their amenity value as one of linear villagescapes, but, their present state-of-art basically necessary for problem-solving had never surveyed up to now. From this point of view, this study tried to investigate present stock quantities and qualities of boundary barriers in rural areas by sample studies on 21 case villages(7 types ${\times}$ 3 cases) and comparative analysis between the planned or improved and nots. Wall type was absolutely dominated in the structural terms, of which more than half was used cement block as building material and, therefore, grey-colored. More than half of total barrier length were fully shielded, while relatively partially shielded in the mountainous villages in open space and 'Cultural villages' with closed housing structures. Free standing style of barriers was shown along over two thirds of their total length, although not more than half in planned reclaimed villages. Especially, because of one-sided wall type structure, mismatched over-shieldness and poorer maintenance condition of the boundary barriers in peri-urban villages, there should be provided with very intensive improvement efforts for amenity barriers.

변분법을 이용한 재귀신경망의 온라인 학습 (A on-line learning algorithm for recurrent neural networks using variational method)

  • 오원근;서병설
    • 제어로봇시스템학회논문지
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    • 제2권1호
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    • pp.21-25
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    • 1996
  • In this paper we suggest a general purpose RNN training algorithm which is derived on the optimal control concepts and variational methods. First, learning is regared as an optimal control problem, then using the variational methods we obtain optimal weights which are given by a two-point boundary-value problem. Finally, the modified gradient descent algorithm is applied to RNN for on-line training. This algorithm is intended to be used on learning complex dynamic mappings between time varing I/O data. It is useful for nonlinear control, identification, and signal processing application of RNN because its storage requirement is not high and on-line learning is possible. Simulation results for a nonlinear plant identification are illustrated.

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Lp and W1,p Error Estimates for First Order GDM on One-Dimensional Elliptic and Parabolic Problems

  • Gong, Jing;Li, Qian
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제4권2호
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    • pp.41-57
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    • 2000
  • In this paper, we consider first order generalized difference scheme for the two-point boundary value problem and one-dimensional second order parabolic type problem. The optimal error estimates in $L_p$ and $W^{1,p}$ ($2{\leq}p{\leq}{\infty}$) as well as some superconvergence estimates in $W^{1,p}$ ($2{\leq}p{\leq}{\infty}$) are obtained. The main results in this paper perfect the theory of GDM.

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탄성 선형 경화 재료로 구성된 복합 구조물의 자유 경계면에서 나타나는 응력특이도 (The Free Edge Stress Singularity At An Interface of Bilinear Material Structure)

  • 정철섭
    • 전산구조공학
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    • 제10권3호
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    • pp.185-193
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    • 1997
  • 탄성 선형 경화 재료로 구성된 복합 구조물의 자유 경계면에서 나타나는 응력 특이도를 평면 변형률 상태에서 계산하였다. 자유 표면력 경계조건과 계면 연속조건을 만족해야하는 지배 탄성 방정식은 2점 경계치문제로 정의되며, 일반 고유치 문제의 해인 고유치가 응력 특이도가 될 것이다. 자유경계면 근처에서 응력 성분을 r/sup s-1/에 비례한다고 가정하여 특정한 s(고유치)를 구하는 고유치 문제를 뉴톤향상법과 사격법을 사용하여 수치적으로 해를 구하였다.

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Pseudospectral Model Predictive Control for Exo-atmospheric Guidance

  • Rahman, Tawfiqur;Zhou, Hao;Yang, Liang;Chen, Wanchun
    • International Journal of Aeronautical and Space Sciences
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    • 제16권1호
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    • pp.64-76
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    • 2015
  • This paper suggests applying pseudospectral model predictive method for exo-atmospheric guidance. The method is a fusion of pseudospectral law and model predictive control, in which a two point boundary value problem is formulated using model predictive approach and solved by applying pseudospectral law. In this work, the method is applied to exo-atmospheric guidance with specific target requirement. The existing exo-atmospheric guidance methods suffice general requirements for guidance, but cannot ensure specific target constraints; whereas, the presented method is able to do so. The proposed guidance law is assessed through simulation of perturbed cases, and the tests suggest that the method is able to operate semi-autonomously under control and thrust vector perturbations.

순수한 찬물속에 잠겨있는 경사진 등온벽면 부근의 자연대류에 관한 수동력학적 안정성 (The Hydrodynamic Stability of Natural Convection Flows Adjacent to an Inclined Isothermal Surface Submerged in Cold, Pure Water)

  • 황영규;장명륜
    • 설비공학논문집
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    • 제2권4호
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    • pp.268-278
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    • 1990
  • Hydrodynamic stability equations are formulated for natural convection flows adjacent to a heated or cooled, inclined, isothermal surface in pure water at $4^{\circ}C$, where the density variation with temperature becomes nonlinear. The resulting stability equations, when reduced to ordinary differential equations by a similarity transformation, constitute a two-point boundary-value problem, which was solved numerically. It is found from the obtained stability results that the neutral stability curves are systematically shifted to have lower critical Grashof numbers, as the inclination angle of upward-facing plate increases. Also, the nose of the neutral stability curve becomes blunter as the angle increases. It implies that the greater the inclination of the upward-facing plate, the more susceptible of the flow to instability for the wide range of disturbance wave number and frequency.

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철도차량의 비선형 안정성에 영향을 미치는 인자 연구 (A Study on the Factors Influencing the Non-Linear Stability of Railway Vehicles)

  • 정우진;신정렬
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.513-518
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    • 2001
  • This research has been performed to estimate the hunting motion hysteresis of railway passenger cars. An old and a new car with almost same structure are chosen as analysis models. To solve effectively a set of simultaneous equations of motion strongly coupled with creep relations, shooting algorithm in which the nonlinear relations are regarded as a two-point boundary value problem is adopted. The bifurcation theory is applied to the dynamic analysis to distinguish differences between linear and nonlinear critical speeds by variation of parameters. It is found that there are some factors and their operation area to make nonlinear critical speed respond to them more sensitivity than linear critical speed. Full-scale roller rig tests are carried out for the validation of the numerical results. Finally, it is concluded that the wear of wheel profile and the stiffness discontinuities of wheelset suspension caused by deterioration have to be considered in the analysis to predict hysteresis of critical speed precisely.

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SOLVABILITY FOR A CLASS OF FDES WITH SOME (e1, e2, θ)-NONLOCAL ANTI PERIODIC CONDITIONS AND ANOTHER CLASS OF KDV BURGER EQUATION TYPE

  • Iqbal Jebril;Yazid GOUARI;Mahdi RAKAH;Zoubir DAHMANI
    • Nonlinear Functional Analysis and Applications
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    • 제28권4호
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    • pp.1017-1034
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    • 2023
  • In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some (e1, e2, θ)-periodic conditions. The existence and uniqueness of solutions are proven. The stability of solutions is also discussed. The second part includes studying traveling wave solutions of a conformable fractional Korteweg-de Vries-Burger (KdV Burger) equation through the Tanh method. Graphs of some of the waves are plotted and discussed, and a conclusion follows.

대규모 비선형 시스템의 새로운 계층별 최적제어 (A New Approach for Hierarchical Optimization of Large Scale Non-linear Systems)

  • 박준훈;김종부
    • 전자공학회논문지T
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    • 제36T권2호
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    • pp.21-31
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    • 1999
  • 대규모 시스템 제어와 관련하여 몇 개의 부시스템으로 분할하여 처리하는 계층별 제어이론이 많이 연구되어 왔으며 특히 치수가 높은 대규모 비선형 시스템의 경우에 고차의 비선형 미분방정식을 동시에 적분을 해야하고 많은 계산량을 필요로 하므로 해를 구하기가 어려운 문제가 있다. 1980년대 Singh과 Hassan은 상호예측 알고리즘(two level prediction algorithm)을 제시한바 있고 이 방법은 비선형 대규모 시스템의 최적제어에 효과적이나 시스템 행렬 Q, R, S, H에 따라 제한된 최적화 구간에서만 성립되는 등 최적화 구간의 길이와 수렴성 여부가 행렬 값에 영향을 받는 알고리즘상의 단점이 있다. 본 연구에서는 수렴조건으로부터 평가함수에 구속조건(quadratic penalty term)을 부여하지 않는 새로운 개선된 알고리즘을 제시 적용하여 시스템 행렬 결정을 위한 과정 없이 수렴속도의 향상과 함께 최적의 수렴성 및 최적화 구간을 얻도록 했다. 분할된 비선형 시스템의 최적제어를 위해서는, 대수 반복연산만으로 2점 경계치 문제(two point boundary value problem)를 해결함으로써 기존의 수치 해석법에 비해 연산이 간단한 블록펄스 변환 방법을 사용해서 처리했다.

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EIGENVALUE PROBLEMS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

  • Guo, Mingzhou;Sun, Hong-Rui
    • 대한수학회보
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    • 제46권5호
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    • pp.999-1011
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    • 2009
  • In this paper, we are concerned with the following eigenvalue problems of m-point boundary value problem for p-Laplacian dynamic equation on time scales $(\varphi_p(u^{\Delta}(t)))^\nabla+{\lambda}h(t)f(u(t))=0,\;t\in(0,T)$, $u(0)=0,\varphi_p(u^{\Delta}(T))=\sum\limits_{i=1}^{m-2}a_i\varphi_p(u^{\Delta}(\xi_i))$, where $\varphi_p(u)=|u|^{p-2}$u, p > 1 and $\lambda$ > 0 is a real parameter. Under certain assumptions, some new results on existence of one or two positive solution and nonexistence are obtained for $\lambda$ evaluated in different intervals. Our work develop and improve many known results in the literature even for the continual case. In doing so the usual restriction that $f_0=lim_{u{\rightarrow}0}+f(u)/\varphi_p(u)$ and $f_\infty = lim_{u{\rightarrow}{\infty}}f(u)/\varphi_p({u})$ exist is removed. As an applications, an example is given to illustrate the main results obtained.