• 제목/요약/키워드: Boundary value technique

검색결과 156건 처리시간 0.024초

다요소의사결정법에 의한 농촌마을담장정비의 기본방향 (Basic Renewal Directions of Boundary Barriers in Rural Villages by Multi-attribute Decision Making)

  • 임종현;최수명;양소열;조은정
    • 농촌계획
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    • 제19권4호
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    • pp.307-317
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    • 2013
  • The value and functionality of boundary barriers in rural villages have been neglected in the aspects as the buffer zone(boundary barrier) that links between the inside space(housing site) and the outside space(road). On this understanding, this study evaluated conservation value, economical efficiency and durability by the types and materials of the boundary barriers in rural village through Multi-attribute Decision Making. By applying to the current situations of boundary barriers on total 21 case study villages, each factor value was measured. And using Matrix Analysis Technique, the boundary barriers are classified into 4 types and the improvement ways for each type were proposed. As a result, the durability of boundary barriers in rural villages showed similarity value(more than 0.85 out of 1). But economical efficiency of those was low(less than 0.5 out of 1) and those functionalities were very lacking(about 0.3 out of 1). In the conclusion, the maintenance of boundary barriers in rural villages requires the policy that is able to complement conservation value and economical efficiency and is proper to the characteristic of each village. These renewable policies would contribute to the increase of the value of rural amenity as well as creation of economical and social value.

NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • 제35권3_4호
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    • pp.277-302
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    • 2017
  • In this paper, we have proposed a numerical method for Singularly Perturbed Boundary Value Problems (SPBVPs) of reaction-diffusion type of third order Ordinary Differential Equations (ODEs). The SPBVP is reduced into a weakly coupled system of one first order and one second order ODEs, one without the parameter and the other with the parameter ${\varepsilon}$ multiplying the highest derivative subject to suitable initial and boundary conditions, respectively. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference scheme. The weakly coupled system is decoupled by replacing one of the unknowns by its zero-order asymptotic expansion. Finally the present numerical method is applied to the decoupled system. In order to get a numerical solution for the derivative of the solution, the domain is divided into three regions namely two inner regions and one outer region. The Shooting method is applied to two inner regions whereas for the outer region, standard finite difference (FD) scheme is applied. Necessary error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples. The method is easy to implement and suitable for parallel computing. The main advantage of this method is that due to decoupling the system, the computation time is very much reduced.

Integral Transforms in Electromagnetic Formulation

  • Eom, Hyo Joon
    • Journal of electromagnetic engineering and science
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    • 제14권3호
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    • pp.273-277
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    • 2014
  • In this research, integral transform technique for electromagnetic scattering formulation is reviewed. Electromagnetic boundary-value problems are presented to demonstrate how the integral transforms are utilized in electromagnetic propagation, antennas, and electromagnetic interference/compatibility. Various canonical structures of slotted conductors are used for illustration; moreover, Fourier transform, Hankel transform, Mellin transform, Kontorovich-Lebedev transform, and Weber transform are presented. Starting from each integral transform definition, the general procedures for solving Helmholtz's equation or Laplace's equation for the potentials in the unbounded region are reviewed. The boundary conditions of field continuity are incorporated into particular formulations. Salient features of each integral transform technique are discussed.

HIGHER ORDER NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Khan, Rahmat Ali
    • 대한수학회보
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    • 제51권2호
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    • pp.329-338
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    • 2014
  • In this paper, we study the method of upper and lower solutions and develop the generalized quasilinearization technique for the existence and approximation of solutions to some three-point nonlocal boundary value problems associated with higher order fractional differential equations of the type $$^c{\mathcal{D}}^q_{0+}u(t)+f(t,u(t))=0,\;t{\in}(0,1)$$ $$u^{\prime}(0)={\gamma}u^{\prime}({\eta}),\;u^{\prime\prime}(0)=0,\;u^{\prime\prime\prime}(0)=0,{\ldots},u^{(n-1)}(0)=0,\;u(1)={\delta}u({\eta})$$, where, n-1 < q < n, $n({\geq}3){\in}\mathbb{N}$, 0 < ${\eta},{\gamma},{\delta}$ < 1 and $^c\mathcal{D}^q_{0+}$ is the Caputo fractional derivative of order q. The nonlinear function f is assumed to be continuous.

축대칭 경계적분법에 의한 항공기 가스터빈 로터디스크 구조해석에 관한 연구 (A Study on Structural Analysis for Aircraft Gas Turbine Rotor Disks Using the Axisymmetric Boundary Integral Equation Method)

  • 공창덕;정석주
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2524-2539
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    • 1996
  • A design process and an axisymmetric boundary integral equation method for precise structural analysis of the aircraft gas turbine rotor disk were developed. This axisymmetric boundary integral equation method for stress and steady-state thermal analysis was improved in solution accuracy by appling an implicit technique for Cauchy principal value evaluation, a subelement technique for weak singular integral evaluation and a double exponentical integral technoque for internal point solution near boundary surfaces. Stresses, temperatures, low cycle fatigue lifes and critical speeds for the turbine rotor disk of the thrust 1421 N class turbojet engine were analysed in a pratical calculation model problem.

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR SECOND-ORDER STURM-LIOUVILLE AND MULTI-POINT PROBLEMS ON TIME SCALES

  • Sang, Yan-Bin;Wei, Zhongli;Dong, Wei
    • 대한수학회보
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    • 제48권5호
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    • pp.1047-1061
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    • 2011
  • In this paper, a class of second-order boundary value problems with Sturm-Liouville boundary conditions or multi-point conditions is considered. Some existence and uniqueness theorems of positive solutions of the problem are obtained by using monotone iterative technique, the iterative sequences yielding approximate solutions are also given. The results are illustrated with an example.

MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS

  • Alsaedi, Ahmed
    • 대한수학회논문집
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    • 제22권1호
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    • pp.53-64
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    • 2007
  • In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.

디지털 물성을 이용한 모듈화 표피생성방법 연구 - 디지털 파라메트릭디자인 중심으로 - (Modularized Membrane Generation Method by Using Digital Property - Based on digital parametric design-)

  • 박정주
    • 한국실내디자인학회논문집
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    • 제19권1호
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    • pp.137-147
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    • 2010
  • The purpose of this study is to research a method of creating a new type of boundary by repeated disposition of single unit of modularized membrane successively. In the contemporary architectural indoor space, more highly dimensional analysis of boundary is required and the necessity of establishing boundary of a new concept that may satisfy cultural value, social value and artistic value as a whole as well as aesthetic and functional merit has been increased. In order to create a membrane that may fulfil the requirements of the diversified programs of space like this, an approach of complicated mechanism and high-dimensional calculation are required. At this time, digital GA modelling, parametric modelling technique may expand its range of possibility. One thing to be noted at this juncture is that indefinite expandability involved in digital modelling technique, modelling by grid of absolute and relative coordinates and convenience of systematization may surpass limitation of analogue or simple numerical calculation being progressed in the past. And in order to create solid process including unit modelling or pattern formation, Precise calculation process of computer is necessitated inevitably.

4중 암호화 기법을 사용하여 기밀 데이터를 이미지 픽셀의 LSB에 은닉하는 개선된 기법 (An improved technique for hiding confidential data in the LSB of image pixels using quadruple encryption techniques)

  • 정수목
    • 한국정보전자통신기술학회논문지
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    • 제17권1호
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    • pp.17-24
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    • 2024
  • 본 논문에서는 4중 암호화 기법을 사용하여 영상 픽셀에 기밀 데이터를 은닉하는 보안이 강력한 기법을 제안한다. 제안된 기법에서는 영상의 윤곽선이 존재하는 경계면과 픽셀값의 변화가 거의 없는 평탄면을 조사한다. 영상의 경계면에서는 경계면의 특성을 보존하기 위해 경계면에 위치하는 픽셀의 LSB(Least Significant Bit)에 다중으로 암호화된 기밀 데이터 1비트를 또다시 공간적으로 암호화하여 기밀 데이터를 은닉한다. 영상의 경계면이 아니고 픽셀값의 변화가 적은 평탄면에 존재하는 픽셀들에서는 다중으로 암호화된 기밀 데이터 2비트를 위치기반 암호화 기법과 공간적 암호화 기법을 사용하여 픽셀의 하위 2비트에 은닉한다. 제안 기법을 적용하여 기밀 데이터를 은닉하는 경우 스테고 이미지의 화질이 최대 49.64dB이고, 기존 LSB 방식에 비해 은닉되는 기밀 데이터의 양이 최대 92.2% 증가하고, 암호화키가 없으면 스테고 이미지에 은닉된 암호화된 기밀 데이터를 추출할 수 없으며 추출한다 해도 해독할 수 없어 스테고 이미지에 은닉된 기밀 데이터의 보안은 매우 강력하게 유지된다. 제안된 기법은 가역 데이터 은닉 기법이 사용되지 않아도 되는 웹툰과 같은 일반적인 상업적 이미지에 저작권 정보를 숨기는 데 효과적으로 사용될 수 있다.