• 제목/요약/키워드: approximation technique

검색결과 558건 처리시간 0.027초

APPROXIMATIONS OF SOLUTIONS FOR A NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH DEVIATED ARGUMENT

  • CHADHA, ALKA;PANDEY, DWIJENDRA N.
    • Journal of applied mathematics & informatics
    • /
    • 제33권5_6호
    • /
    • pp.699-721
    • /
    • 2015
  • This paper investigates the existence of mild solution for a fractional integro-differential equations with a deviating argument and nonlocal initial condition in an arbitrary separable Hilbert space H via technique of approximations. We obtain an associated integral equation and then consider a sequence of approximate integral equations obtained by the projection of considered associated nonlocal fractional integral equation onto finite dimensional space. The existence and uniqueness of solutions to each approximate integral equation is obtained by virtue of the analytic semigroup theory via Banach fixed point theorem. Next we demonstrate the convergence of the solutions of the approximate integral equations to the solution of the associated integral equation. We consider the Faedo-Galerkin approximation of the solution and demonstrate some convergenceresults. An example is also given to illustrate the abstract theory.

Combined Convection and Radiation in a Tube with Circumferential Fins and Circular Disks

  • Kim, Namjin;Lee, Jaeyong;Taebeom Seo;Kim, Chongbo
    • Journal of Mechanical Science and Technology
    • /
    • 제16권12호
    • /
    • pp.1725-1732
    • /
    • 2002
  • Combined convection and radiation heat transfer in a circular tube with circumferential fins and circular disks is investigated for various operating conditions. Using a finite volume technique for steady laminar flow, the governing equations are solved in order to study the flow and temperature fields. The P- 1 approximation and the weighted sum of gray gases model (WSGGM) are used for solving the radiation transport equation. The results show that the total Nusselt number of combined convection and radiation is higher than that of pure convection. If the temperatures of the combustion gas and the wall in a tube are high, radiation becomes dominant. Therefore, it is necessary to evaluate the effect of radiation on the total heat transfer.

Construction of Optimal Concatenated Zigzag Codes Using Density Evolution with a Gaussian Approximation

  • 홍송남;신동준
    • 한국통신학회논문지
    • /
    • 제31권9C호
    • /
    • pp.825-830
    • /
    • 2006
  • Capacity-approaching codes using iterative decoding have been the main subject of research activities during past decade. Especially, LDPC codes show the best asymptotic performance and density evolution has been used as a powerful technique to analyze and design good LDPC codes. In this paper, we apply density evolution with a Gaussian approximation to the concatenated zigzag (CZZ) codes by considering both flooding and two-way schedulings. Based on this density evolution analysis, the threshold values are computed for various CZZ codes and the optimal structure of CZZ codes for various code rates are obtained. Also, simulation results are provided to conform the analytical results.

Analytical Modeling and Simulation of Dual Material Gate Tunnel Field Effect Transistors

  • Samuel, T.S.Arun;Balamurugan, N.B.;Sibitha, S.;Saranya, R.;Vanisri, D.
    • Journal of Electrical Engineering and Technology
    • /
    • 제8권6호
    • /
    • pp.1481-1486
    • /
    • 2013
  • In this paper, a new two dimensional (2D) analytical model of a Dual Material Gate tunnel field effect transistor (DMG TFET) is presented. The parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions. The simple and accurate analytical expressions for surface potential and electric field are derived. The electric field distribution can be used to calculate the tunneling generation rate and numerically extract tunneling current. The results show a significant improvement of on-current and reduction in short channel effects. Effectiveness of the proposed method has been confirmed by comparing the analytical results with the TCAD simulation results.

부구조화 기반 전역-부분 근사화 구조재해석에 의한 구조최적화 (Structural Optimization by Global-Local Approximations Structural Reanalysis based on Substructuring)

  • 김태봉;서상구;김창운
    • 한국안전학회지
    • /
    • 제12권3호
    • /
    • pp.120-131
    • /
    • 1997
  • This paper presents an approximate reanalysis methods of structures based on substructuring for an effective optimization of large-scale structural systems. In most optimal design procedures the analysis of the structure must be repeated many times. In particular, one of the main obstacles in the optimization of structural systems are involved high computational cost and expended long time in the optimization of large-scale structures. The purpose of this paper is to evaluate efficiently the structural behavior of new designs using information from previous ones, without solving basic equations for successive modification in the optimal design. The proposed reanalysis procedure is combined Taylor series expansions which is a local approximation and reduced basis method which is a global approximation based on substructuring. This technique is to choose each of the terms of Taylor series expansions as the basis vector of reduced basis method in substructuring system which is one of the most effective analysis of large -scale structures. Several numerical examples illustrate the effectiveness of the solution process.

  • PDF

단일 폐루프 테스트를 통한 온라인 슬라이딩 모드 제어기 동조 (On-Line Sliding Mode Controller Tuning from a single closed loop test)

  • 배준형;임동균;서병설
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
    • /
    • pp.106-108
    • /
    • 2005
  • The calculation of parameters of a process model is modified to find that better sliding mode controller for a process with time delay. A design method by Camacho has such problems as chattering, overshoot due to the Pade approximation errors for the time delay term of the first order model. In this paper, a new design technique for a sliding mode controller is proposed by introducing the modified Pade approximation considering the weight factor. The modified method is expected to provide a more accurate model with better control settings.

  • PDF

Power System Stabilizer using the Free Model

  • Kim, Ho-Chan;Oh, Seong-Bo;Lee, Kwang-Yeon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.139.3-139
    • /
    • 2001
  • The free-model concept is introduced as an alternative intelligent system technique to design a controller with input and output data only. The idea of free model comes from the Taylor series approximation, where an output can be estimated when such data as position, velocity, and acceleration are known. The parameters in the free model can be estimated using the input-output data and a controller can be designed based on the free model. The free model thus developed is shown to be controllable, observable, and robust. The accuracy of the free-model approximation can be improved by increasing the observation window and the order of the free model. The LQR method is applied to the free model to design power system stabilizers ...

  • PDF

대용량 전자교환기의 고속 내부통신망 성능 평가에 관한 연구 (A study on the performance evaluation of high speed interprocessor communication netowrk in a large capacity digital switching system)

  • 최진규;박형준;정윤쾌;권보섭;이충근
    • 전자공학회논문지A
    • /
    • 제33A권5호
    • /
    • pp.55-64
    • /
    • 1996
  • This paper presents performance evaluation of a new high speed inter-processor communication(HIPC) network for large capacity and high performance digitral switching system. The HIPC structure implements the fast reservation and concurrent arbitration technique (modified round-robin arbitration). The performance evaluation of HIPC was performed by not only computer simulation but also numerical approximation method which was derived for a single server multi-queue system with nonexhaustive cyclic service. The approximation results are almost same with that of computer simulation. The TDX-10 basic callscenario was applied to the HIPC netowrk and analyzed. these results were compared with TDX-10 IPC and shows that the difference of th emean waiting time in the TX buffer of NTP node increases sharply according to the increase of the message arrival rate.

  • PDF

일치하지 않는 경계를 갖는 분리된 시스템을 위한 계면 요소법 (Interface element method (IEM) for a partitioned system with non-matching interfaces)

  • 김현규
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집A
    • /
    • pp.324-329
    • /
    • 2001
  • A novel method for non-matching interfaces on the boundaries of the finite elements in partitioned domains is presented by introducing interface elements in this paper. The interface element method (IEM) satisfies the continuity conditions exactly through interfaces without recourse to the Lagrange multiplier technique. The moving least square (MLS) approximation in the present study is implemented to construct the shape functions of the interface elements. Alignment of the boundaries of sub-domains in the MLS approximation and integration domains provides a consistent numerical integration due to one form of rational functions in an integration domain. The compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method, and the completeness of the shape functions of the interface elements guarantees the convergence of numerical solutions. The numerical examples show that the interface element method is a useful tool for the analysis of a partitioned system and for a global-local analysis.

  • PDF

Electronic Structure of Flavins. Inclusion of Methyl Groups in Molecular Orbital Treatments of Flavins

  • Pill-Soon Song
    • 대한화학회지
    • /
    • 제16권3호
    • /
    • pp.119-134
    • /
    • 1972
  • Various MO methods with differing degrees of sophistication are shown to yield qualitatively consistent results for methyl isoalloxazins. However, with crude methods such as the HMO and ${\omega}$-technique, the choice of Coulomb and resonance integralsis critical, in contrast with simpler molecular systems. The empirical value of ${\omega}$=0.5 appears to be more reasonable than 1.4. Methyl groups in these flaving are best treated by the group orbital approximation. The pseudo-heteroatom approximation overestimates methyl hyperconfiguration with the Pariser-Parrpole SCR MO method. siglet ${\pi}{\rightarrow}{\pi}^*$ transition energies are calculated by the P-P-P method and agree reasonably with the experimental values. 2- and 4-Thioisoalloxazine analogs are also treated. Reactivity indices of the flavin molecule are presented, includeing superdelocalizability. frontier orbital and radical densities. Various aspects of the applications of these indices of the methyl groups on dipolemoments, inozation potentialsm elctron affinities, and spectra are decribed in detail.

  • PDF