• Title/Summary/Keyword: ODE's

Search Result 40, Processing Time 0.024 seconds

A NEW METHOD FOR SOLVING THE NONLINEAR SECOND-ORDER BOUNDARY VALUE DIFFERENTIAL EQUATIONS

  • Effati, S.;Kamyad, A.V.;Farahi, M.H.
    • Journal of applied mathematics & informatics
    • /
    • v.7 no.1
    • /
    • pp.183-193
    • /
    • 2000
  • In this paper we use measure theory to solve a wide range of second-order boundary value ordinary differential equations. First, we transform the problem to a first order system of ordinary differential equations(ODE's)and then define an optimization problem related to it. The new problem in modified into one consisting of the minimization of a linear functional over a set of Radon measures; the optimal measure is then approximated by a finite combination of atomic measures and the problem converted approximatly to a finite-dimensional linear programming problem. The solution to this problem is used to construct the approximate solution of the original problem. Finally we get the error functional E(we define in this paper) for the approximate solution of the ODE's problem.

A NEW APPROACH FOR ASYMPTOTIC STABILITY A SYSTEM OF THE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

  • Effati, Sohrab;Nazemi, Ali Reza
    • Journal of applied mathematics & informatics
    • /
    • v.25 no.1_2
    • /
    • pp.231-244
    • /
    • 2007
  • In this paper, we use measure theory for considering asymptotically stable of an autonomous system [1] of first order nonlinear ordinary differential equations(ODE's). First, we define a nonlinear infinite-horizon optimal control problem related to the ODE. Then, by a suitable change of variable, we transform the problem to a finite-horizon nonlinear optimal control problem. Then, the problem is modified into one consisting of the minimization of a linear functional over a set of positive Radon measures. The optimal measure is approximated by a finite combination of atomic measures and the problem converted to a finite-dimensional linear programming problem. The solution to this linear programming problem is used to find a piecewise-constant control, and by using the approximated control signals, we obtain the approximate trajectories and the error functional related to it. Finally the approximated trajectories and error functional is used to for considering asymptotically stable of the original problem.

The real nature of the West Wind in Shelley's Ode to the West Wind (셸리의 Ode to the West Wind에 나타난 서풍의 실체)

  • Jeon, Woong-Ju
    • English Language & Literature Teaching
    • /
    • no.5
    • /
    • pp.259-272
    • /
    • 1999
  • The real nature of the west wind in Shelley's Ode to the West Wind is the divine providence which influences all things in this world- that is, whether they are on land, in the sky, or in the sea. The divine providence is the manifestation of something beyond the present and tangibel object. In the first stanza, the real nature of the west wind in this poem is the wild wind, the breath of Autumn's being, the unseen presence, the azure sister of the Spring, a Destroyer, a Preserver, the winged seed, a creator, a philosopher, a poet, Shelley, and the wild spirit moving everywhere. In the second stanza, the real nature of the west wind in this poem is cloud, the angel of rain and lightning, fierce Maenad, the approaching storm, the congregated might, the black rain, the fire, hail, solid atmosphere, the tremendous power of revolutionary change, and the power that influences all things in the sky. In the third stanza, the real nature of the west wind in this poem is the voice that makes the oozy woods which wear the sapless foliage of the Atlantic, and the power makes the blue Mediterranean wake from his summer dream. the fit medium of expression which Shelley's soul was seeking for, Shelley's passion, Shelley's partner, Shelley's co-worker, and a strong presence which influences in the sea. In the fourth stanza, the real nature of the west wind in this poem is the mightest presence, the power, the strength, the free presence, the uncontrollable, the wanderer over heaven, a vision, the tameless, the swift, the proud and the God who can save Shelley form the heavy weight of hours and lift Shelley as a wave a leaf, a cloud. In the fifth stanza, the real nature of the west wind in this poem is the mighty harmony, the fierce Spirit, Shelley's spirit, the impetuous spirit, incanation of this verse, spark, the trumpet of a prophecy, the Providence which can make the Winter depart and call Spring, and the prophet. To conclude, the real nature of the west wind in this poem is Shelley's accumulated insight that he visulize his impulse of revolutionary thought.

  • PDF

Relationship between Urban Identity and Time and Space - Focusing on , Zhang Lu's Film (도시 정체성과 시공간 구조의 관계 -장률(張律)의 영화 <군산: 거위를 노래하다>를 중심으로)

  • Cho, Myung-Ki
    • Journal of Popular Narrative
    • /
    • v.27 no.3
    • /
    • pp.151-191
    • /
    • 2021
  • This paper examines what is the content of Gusan's urban identity, represented by the film and how the contents and aspects of this city's identity interact with the structure of the films' discourse. weaves Gunsan and Seoul into continuously reorganized cities based on an interactive relation, rather than literal ones. Seoul in which the time for a film narrative is closed is converted into the starting point for tour to Gunsan. The both points in which audiences' ex post return occurs are the starting point for the time for the film discourse and the other point in which the title is suggested. The journey-type of the narrative structure in this film is a3-dimensional spiral-shaped, rather than a 2-dimensional circular regression. embodies the characteristics and the identity and apriority of two cities, based on such a spiral-shaped temporal and spatial structure. Seoul severs the relation between grand narrative/collective memory and small narrative/individual memory as an agnostic one, in other words, it is a city that cuts off cities, relations and memory and rejects the continuity of memory. On the other hand, Gunsan is a city in which both grand and small narrative and collective and individual memory coexist and both split and isolated mind are cured and mutually consoled. It describes Gunsan as the surplus space as a being for others, while expressing its identity as robust and literal thing. The film describes it as the field in which oppositional concepts such as historical interruption and continuity and spatial being for others and originality become 3-dimensional spiral ones, through the reciprocity between the narrative and the discourse structure. This paper has an implication, in that it examines how temporal and spatial relationship constituting the urban identity interacts with the structure of the film narrative.

A Study on the Educational Plan of Business Chinese Speaking by Using the Method of Storytelling and Role-play - Focused on Chinese Drama - (스토리텔링과 롤 플레이 기법을 통한 비즈니스 중국어 말하기 교육방안 탐색 - 드라마를 중심으로 -)

  • Li, Xiaohui;Li, Zhangpei;Park, Changun
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
    • /
    • v.9 no.5
    • /
    • pp.273-280
    • /
    • 2019
  • The main purpose of this study is to reveal the educational value of the Chinese drama and present a concrete and feasible Chinese speaking teaching-learning programme targeted at intermediate level Chinese learners through storytelling and role-play. There is some advice for Chinese speaking teaching-learning by using Chinese dramas. Firstly, applying various techniques actively such as storytelling and role play, not only could it help to correct Chinese speaking pronunciation, but it could also help students to make up and express their ideas as free as possible. Secondly, it's necessary to accord with the teaching objectives of Chinese speaking, students' actual level and requirements to select Chinese dramas as Chinese speaking teaching-learning materials. Thirdly, it's noteworthy that teachers should select Chinese dramas with various genres or theme according to social development to promote the fun of class and maximize the educational value of Chinese dramas as teaching-learning materials.

THE BUCHSTAB'S FUNCTION AND THE OPERATIONAL TAU METHOD

  • Aliabadi, M.Hosseini
    • Journal of applied mathematics & informatics
    • /
    • v.7 no.3
    • /
    • pp.905-915
    • /
    • 2000
  • In this article we discuss some aspects of operational Tau Method on delay differential equations and then we apply this method on the differential delay equation defined by $\omega(u)\;=\frac{1}{u}\;for\;1\lequ\leq2$ and $(u\omega(u))'\;=\omega(u-1)\;foru\geq2$, which was introduced by Buchstab. As Khajah et al.[1] applied the Recursive Tau Method on this problem, they had to apply that Method under the Mathematica software to get reasonable accuracy. We present very good results obtained just by applying the Operational Tau Method using a Fortran code. The results show that we can obtain as much accuracy as is allowed by the Fortran compiler and the machine-limitations. The easy applications and reported results concerning the Operational Tau are again confirming the numerical capabilities of this Method to handle problems in different applications.

Application of Opposition-based Differential Evolution Algorithm to Generation Expansion Planning Problem

  • Karthikeyan, K.;Kannan, S.;Baskar, S.;Thangaraj, C.
    • Journal of Electrical Engineering and Technology
    • /
    • v.8 no.4
    • /
    • pp.686-693
    • /
    • 2013
  • Generation Expansion Planning (GEP) is one of the most important decision-making activities in electric utilities. Least-cost GEP is to determine the minimum-cost capacity addition plan (i.e., the type and number of candidate plants) that meets forecasted demand within a pre specified reliability criterion over a planning horizon. In this paper, Differential Evolution (DE), and Opposition-based Differential Evolution (ODE) algorithms have been applied to the GEP problem. The original GEP problem has been modified by incorporating Virtual Mapping Procedure (VMP). The GEP problem of a synthetic test systems for 6-year, 14-year and 24-year planning horizons having five types of candidate units have been considered. The results have been compared with Dynamic Programming (DP) method. The ODE performs well and converges faster than DE.

NONLINEAR ANALYSIS OF SELF-EXCITED VIBRATION IN WHEELED TRACTOR VEHICLE'S DRIVELINE

  • Li, X.H.;Zhang, J.W.;Zeng, C.C.
    • International Journal of Automotive Technology
    • /
    • v.7 no.5
    • /
    • pp.535-545
    • /
    • 2006
  • A nonlinear analysis of torsional self-excited vibration in the driveline system for wheeled towing tractors was presented, with a 2-DOF mathematical model. The vibration system was described as a second-order ordinary differential equation. An analytical approach was proposed to the solution of the second-order ODE. The mathematical neighborhood concept was used to construct the interior boundary and the exterior boundary. The ODE was proved to have a limit cycle by using $Poincar\'{e}-Bendixson$ Annulus Theorem when two inequalities were satisfied. Because the two inequalities are easily satisfied, the self-excited vibration is inevitable and even the initial slip rate is little. However, the amplitude will be almost zero when the third inequality is satisfied. Only in a few working modes of the towing tractor the third inequality is not satisfied. It is shown by experiments that the torsional self-excited vibration in the driveline of the vehicle is obvious.

Research on Classifying the 'Sijochang', or Korean Ode Narrative Song (시조창 분류고)

  • Shin Woong-Soon
    • Sijohaknonchong
    • /
    • v.24
    • /
    • pp.223-258
    • /
    • 2006
  • This Research is about the classification of 'Sijochang', or the Korean ode narrative song, in terms of music. Contrary to the literature classification by the number of letters, sijochang varies with the melody. Literally, the classification is generally made as Dansijo(or short ode) Jungsijo(or medium ode) and Jangsijo(or lengthy ode) but the sijochang is normally divided into 'Pyongsijo' (or plain ode), 'Jirumsijo and Saseolsijo'. As while the same Sijochang is called under the different names, the different type of sijochang is also called as the same name, it needs the discussion about its name. Some Korean classical musicians have attempted to define it but they are trying to do it without the specific reasoning about its concept. As a result, the systematic research is required. This study designs to streamline the currently confusing and complex names and set up the sijo's classification system. After reviewing the ancient music note, current sijo score and the traditional theory, I largely classified it into 3 types: Pyongsijo, Jirumsijo and Saseolsijo. And then, 1 analyzed on to which type the sijochang which is presently called belongs, based on several principles. The 67 names of the sijo which I have investigated about are classified with them sharpy reduced into 16. Among the current sijo names. there are some which are of same type yet of different phonetics and there are others which are of different phonetics yet of same type. To avoid such complex and troublesome names, I have orchestrated them as follows, taking the literary and music concept into account. 1) Pyongsijo type : Pyongsijo, Joongherisijo, Wujosijo and Payeonkok 2) Jirumsijo type: Jirumsiro, Namchangjirumsijo(it refers to Jirumsijo sung by male ), Yeochangjirumsijo (it refers to Jirumsijo sung by female), Banjirumsijo(it refers to half the Jiumsiro), Onjirumsijo (it refers to the whole Jirumsijo), Wujojr\irumsijo, Saseoljirumsijo and Whimorisijo) 3) Saseolsijo type : Saseolsijo, Bansaseolsijo(it refers to half the Saseolsijo, Gaksijo or Pyongsiro There are still lots of things to musically streamline, in the fields of disposition of Sijo letters, its form, musical scale and influences on other genre. etc. and as such. the accumulation of theory on them is urgently required. Those musical elements need an in-depth review and study by the experts and the Korean traditional musicians. Later research is expected to play a role of exploring it.

  • PDF