• 제목/요약/키워드: differential method

검색결과 4,263건 처리시간 0.031초

A NEW METHOD FOR SOLVING NONLINEAR SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS

  • Gachpazan. M.;Kerayechian, A.;Kamyad, A.V.
    • Journal of applied mathematics & informatics
    • /
    • 제7권2호
    • /
    • pp.453-465
    • /
    • 2000
  • In this paper, a new method for finding the approximate solution of a second order nonlinear partial differential equation is introduced. In this method the problem is transformed to an equivalent optimization problem. them , by considering it as a distributed parameter control system the theory of measure is used for obtaining the approximate solution of the original problem.

UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2

  • Shu, Xiao-Bao;Xu, Fei
    • 대한수학회지
    • /
    • 제51권6호
    • /
    • pp.1123-1139
    • /
    • 2014
  • In this work, we investigate the existence of the extremal solutions for a class of fractional partial differential equations with order 1 < ${\alpha}$ < 2 by upper and lower solution method. Using the theory of Hausdorff measure of noncompactness, a series of results about the solutions to such differential equations is obtained.

SOLVING FUZZY FRACTIONAL WAVE EQUATION BY THE VARIATIONAL ITERATION METHOD IN FLUID MECHANICS

  • KHAN, FIRDOUS;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제23권4호
    • /
    • pp.381-394
    • /
    • 2019
  • In this paper, we are extending fractional partial differential equations to fuzzy fractional partial differential equation under Riemann-Liouville and Caputo fractional derivatives, namely Variational iteration methods, and this method have applied to the fuzzy fractional wave equation with initial conditions as in fuzzy. It is explained by one and two-dimensional wave equations with suitable fuzzy initial conditions.

뉴트럴 미분방정식의 새로운 안정성 판별법 (A New Stability Criterion of a Class of Neutral Differential Equations)

  • 권오민;박주현
    • 전기학회논문지
    • /
    • 제56권11호
    • /
    • pp.2023-2026
    • /
    • 2007
  • In this letter, the problem for a class of neutral differential equation is considered. Based on the Lyapunov method, a stability criterion, which is delay-dependent on both ${\tau}\;and\;{\sigma}$, is derived in terms of linear matrix inequality (LMI). Two numerical examples are carried out to support the effectiveness of the proposed method.

Approximate solution of fuzzy quadratic Riccati differential equations

  • Tapaswini, Smita;Chakraverty, S.
    • Coupled systems mechanics
    • /
    • 제2권3호
    • /
    • pp.255-269
    • /
    • 2013
  • This paper targets to investigate the solution of fuzzy quadratic Riccati differential equations with various types of fuzzy environment using Homotopy Perturbation Method (HPM). Fuzzy convex normalized sets are used for the fuzzy parameter and variables. Obtained results are depicted in term of plots to show the efficiency of the proposed method.

다중 데이터 원천을 가지는 데이터웨어하우스 뷰의 자율갱신 (Self Maintainable Data Warehouse Views for Multiple Data Sources)

  • 이우기
    • Asia pacific journal of information systems
    • /
    • 제14권3호
    • /
    • pp.169-187
    • /
    • 2004
  • Self-maintainability of data warehouse(DW) views is an ability to maintain the DW views without requiring an access to (i) any underlying databases or (ii) any information beyond the DW views and the delta of the databases. With our proposed method, DW views can be updated by using only the old views and the differential files such as different files, referential integrity differential files, linked differential files, and backward-linked differential files that keep the truly relevant tuples in the delta. This method avoids accessing the underlying databases in that the method achieves self-maintainability even in preparing auxiliary information. We showed that out method can be applicable to the DW views that contain joins over relations in a star schema, a snowflake schema, or a galaxy schema.

온도차 감지 제상법과의 비교를 통한 광센서 제상법의 타당성 검증을 위한 연구 (Feasibility of the Defrost Control by Photoelectric Technology via Comparison with the Temperature Differential Defrosting Method)

  • 전창덕;김동선
    • 설비공학논문집
    • /
    • 제26권9호
    • /
    • pp.434-440
    • /
    • 2014
  • Experiments were performed to verify if performance and characteristic curves obtained from the temperature differential defrosting method, where surface temperature is measured to judge defrosting condition, can be reproduced by the photoelectric technology where defrosting condition is judged by photoelectric sensors. The output voltage of a phototransistor and heating capacity, power consumption, and surface temperature of the outdoor heat exchanger are compared. The results showed that the photoelectric sensors can be used as a defrost control device. On-off control timings in temperature differential defrosting method are in good agreement with those predicted by the high and low threshold output voltages of the photoelectric sensor.

Structural damage detection using a multi-stage improved differential evolution algorithm (Numerical and experimental)

  • Seyedpoor, Seyed Mohammad;Norouzi, Eshagh;Ghasemi, Sara
    • Smart Structures and Systems
    • /
    • 제21권2호
    • /
    • pp.235-248
    • /
    • 2018
  • An efficient method utilizing the multi-stage improved differential evolution algorithm (MSIDEA) as an optimization solver is presented here to detect the multiple-damage of structural systems. Natural frequency changes of a structure are considered as a criterion for damage occurrence. The structural damage detection problem is first transmuted into a standard optimization problem dealing with continuous variables, and then the MSIDEA is utilized to solve the optimization problem for finding the site and severity of structural damage. In order to assess the performance of the proposed method for damage identification, an experimental study and two numerical examples with considering measurement noise are considered. All the results demonstrate the effectiveness of the proposed method for accurately determining the site and severity of multiple-damage. Also, the performance of the MSIDEA for damage detection compared to the standard differential evolution algorithm (DEA) is confirmed by test examples.

Shape-based Image Retrieval using VQ based Local Differential Invariants

  • Kim , Hyun-Sool;Shin, Dae-Kyu;Chung , Tae-Yun;Park , Sang-Hui
    • KIEE International Transaction on Systems and Control
    • /
    • 제12D권1호
    • /
    • pp.7-11
    • /
    • 2002
  • In this study, fur the shape-based image retrieval, a method using local differential invariants is proposed. This method calculates the differential invariant feature vector at every feature point extracted by Harris comer point detector. Then through vector quantization using LBG algorithm, all feature vectors are represented by a codebook index. All images are indexed by the histogram of codebook index, and by comparing the histograms the similarity between images is obtained. The proposed method is compared with the existing method by performing experiments for image database including various 1100 trademarks.

  • PDF

특이발현과 특이공발현을 고려한 유의한 유전자 집단 탐색 (Identifying statistically significant gene sets based on differential expression and differential coexpression)

  • 이선호
    • 응용통계연구
    • /
    • 제29권3호
    • /
    • pp.437-448
    • /
    • 2016
  • 서로 상관있는 유전자들의 발현조절이 질병이나 종양의 발생에 영향을 미치기 때문에 단일유전자 분석 대신 공통의 생물학적 요소를 지닌 유전자 집단 분석이 각광을 받게 되었고 생물학적으로 좀더 설명하기 쉬운 결과를 얻게 되었다. 표현형에 따라 유의한 차이를 보이는 유전자 집단을 찾는 여러 방법들이 있지만, 대부분의 방법들이 집단에 속한 유전자들의 표현형에 따른 발현의 차이를 탐색하거나 유전자들 사이의 공발현 구조가 다른지 탐색하는 것이다. 본 연구에서는 특이발현과 특이공발현의 차이를 모두 고려하는 탐색방법을 제시하였고 p53이란 유전자 자료와 모의자료를 이용하여 제시한 방법의 성능을 알아 보았다.