• Title/Summary/Keyword: the Odes

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Influence of thermal radiation and magnetohydrodynamic on the laminar flow: Williamson fluid for velocity profile

  • Muzamal Hussain;Humaira Sharif;Mohammad Amien Khadimallah;Hamdi Ayed;Abir Mouldi;Muhammad Naeem Mohsin;Sajjad Hussain;Abdelouahed Tounsi
    • Advances in nano research
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    • v.16 no.4
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    • pp.427-434
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    • 2024
  • Latest advancement in field of fluid dynamics has taken nanofluid under consideration which shows large thermal conductance and enlarges property of heat transformation in fluids. Motivated by this, the key aim of the current investigation scrutinizes the influence of thermal radiation and magnetohydrodynamic on the laminar flow of an incompressible two-dimensional Williamson nanofluid over an inclined surface in the presence of motile microorganism. In addition, the impact of heat absorption/generation and Arrhenius activation energy is also examined. A mathematical modeled is developed which stimulate the physical flow problem. By using the compatible similarities, we transfer the governing PDEs into ODEs. The analytic approach based on Homotopy analysis method is introduced to impose the analytic solution by using Mathematica software. The impacts of distinct pertinent variable on velocity profiles are investigated through graphs.

AN ASYMPTOTIC FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE WITH DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1057-1069
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    • 2008
  • We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

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Push-Pull Distributed Movement Algorithm toy An Optimized Coverage of Mobile Base Station in Topology-less Wireless Networks

  • Unhawiwat, Mallika;Wipusitwarakun, Komwut
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1936-1939
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    • 2002
  • Much recent attention on wireless technologies s put on topology-less wireless network, in which all nodes an be mobile and can communicate over wireless links, due to its ease of deployment, high flexibility and low expenses. One key in topology-less wireless network is mobile base stations (MBSs), which provides access points or mobile terminals (MTs) to wireless backbone network. MBSs can move to anywhere in accordance with changes in geographical distribution of MTs. They serve as dynamic odes. However, in order to utilize network resources and take full advantage of this topology-less network, MBSs must move to suitable position according to the current tate of network use. Moreover, MBSs have to consider the distance among them to avoid the crash and gap area of MBSs. Therefore, this paper proposes MBS movement algorithm by implementing push-pull method to fulfill the corporation of MBSs and considering the center of covered MTs or centroid to satisfy the MT coverage. From the simulation results, the proposed algorithm increases the performance of system when comparing with the centroid-based algoriom〔7〕, such as coverage area, MT coverage and call drops rate.

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Effect of suction on flow of dusty fluid along exponentially stretching cylinder

  • Iqbal, Waheed;Jalil, Mudassar;Qazaq, Amjad;Khadimallah, Mohamed A.;Naeem, Muhammad N.;Hussain, Muzamal;Mahmoud, S.R.;Ghandourah, E.;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.10 no.3
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    • pp.263-270
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    • 2021
  • The present manuscript focuses the effects of suction on the flow of the dusty fluid along permeable exponentially stretching cylinder. Derived PDEs for this work are changed into ODEs by adopting right transformations. Numerical procedure is carried out for the obtained resultant equations by Shooting Technique in accordance with Runge-Kutta (RK-6) technique. Obtained results for the parameters namely, particle interaction parameter, suction parameter and Reynold number parameters are probed thoroughly. Some salient points are: (a) Fluid velocity decreases and the dust phase velocity rises for the higher values of particle interaction parameter; (b) more suction produces retarding velocities for both the phases; (c) high Reynold number slows down the fluid velocity while the speed of dust phase and (d) skin friction coefficient goes high for all these parameters.

The Numerical Solution of Time-Optimal Control Problems by Davidenoko's Method (Davidenko법에 의한 시간최적 제어문제의 수치해석해)

  • Yoon, Joong-sun
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.57-68
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    • 1995
  • A general procedure for the numerical solution of coupled, nonlinear, differential two-point boundary-value problems, solutions of which are crucial to the controller design, has been developed and demonstrated. A fixed-end-points, free-terminal-time, optimal-control problem, which is derived from Pontryagin's Maximum Principle, is solved by an extension of Davidenko's method, a differential form of Newton's method, for algebraic root finding. By a discretization process like finite differences, the differential equations are converted to a nonlinear algebraic system. Davidenko's method reconverts this into a pseudo-time-dependent set of implicitly coupled ODEs suitable for solution by modern, high-performance solvers. Another important advantage of Davidenko's method related to the time-optimal problem is that the terminal time can be computed by treating this unkown as an additional variable and sup- plying the Hamiltonian at the terminal time as an additional equation. Davidenko's method uas used to produce optimal trajectories of a single-degree-of-freedom problem. This numerical method provides switching times for open-loop control, minimized terminal time and optimal input torque sequences. This numerical technique could easily be adapted to the multi-point boundary-value problems.

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Temperature dependent electro-optical studies of liquid crystal in Fringe Field Switching (FFS), In-plane switching (IPS), and Patterned Vertical Alignment (PVA) modes

  • Jo, Eun-Mi;Srivastava, Anoop Kumar;Kim, Mi-Young;Kim, Sung-Min;Lee, Seung-Hee;Ji, Seung-Hoon;Lee, Gi-Dong
    • 한국정보디스플레이학회:학술대회논문집
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    • 2008.10a
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    • pp.320-323
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    • 2008
  • In this paper, electro-optical characteristic of Nematic Liquid crystal (LC) with varying temperature in different LCD modes, namely Fringe Field Switching (FFS), In-plane switching (IPS), and Patterned Vertical Alignment (PVA) modes are investigated and compared. Electro optic me asurements suggest that rate of change of transmission with temperature in FFS mode was lowest and much more thermally stable as compared to IPS and PVA m odes. However the electro-optical characteristic of patterned vertical alignment (PVA) mode was most affected by changing temperature. The measured threshold voltage was found to be much more thermally stable in FFS and IPS modes than that of PVA mode.

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Electrical properties of Ultra-Shallow Junction formed by using Epitaxial $CoSi_{2}$ Thin Film as Diffusion Source ($CoSi_{2}$ 에피박막을 확산원으로 이용하여 형성한 매우 얇은 접합의 전기적 특성)

  • Koo, Bon-Cheol;Shim, Hyun-Sang;Jung, Yun-Sil;Bae, Kyoo-Sik
    • Korean Journal of Materials Research
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    • v.8 no.5
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    • pp.470-473
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    • 1998
  • $As^+$ was ion-implanted onto $CoSi_{2}$ thin films formed by rapidly thermal-annealed Co/Ti bilayers. Then the specimens were drive-in annealed at 500~100$0^{\circ}C$ to form ultra-shallow $n^+$p junction diodes and to measure their 1- V characteristics. When drive-in annealed at 50$0^{\circ}C$ for 280 sec., 50 nm thick ultra-shallow junctions were formed and di¬odes showed the best 1- V characteristics with low leakage current. In particular. the leakage current was 2 orders lower than that of diodes formed by using Co monolayer. It was attributed to uniform $CoSi_{2}$/Si interfaces.

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A Study on Reciprocal Relationship between TKM and Literature : Centering on Medicinal Name Verses(YakMyeongSi) (한의학과 문학의 교섭 양상 연구 -약명시(藥名詩)를 중심으로-)

  • Lee, Jeong-Hyeon
    • Korean Journal of Oriental Medicine
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    • v.16 no.3
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    • pp.77-84
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    • 2010
  • In this study, YakMyeongSi were considered to define relations of Tradional Korean Medicine(TKM) and literature. In the introduction, present related studies were searched to clarify YakMyeongSi are completely different from medical property songs(YakSeongGa). Related data about YakMyeongSi and YakSeongGa were extracted for the initial findings. In chapter 2, medical name verse was defined as 'a type of free verses with one or more medical names in each verse to be interpreted ordinarily' based on records and examples of YakMyeongSi. In China, it originated from "Book of Odes" and "Songs of Chu", and it was most popular in the Song-China. Medical names actually referred to medical names in the early forms of the Warring States Period, but the complete form of YakMyeongSi started to appear in the Tang-China. In chapter 3, 34 YakMyeongSi and 5 related data were suggested in tables as the present conditions of Korean YakMyeongSi. With actual examples, better comprehension of YakMyeongSi were intended. Also, the fact that Korean YakMyeongSi were completed in forms at the end of Goryeo and beginning of Joseon dynasty. The motivations of writing YakMyeongSi were also studied. Medical names were put into verses because they well expressed landscapes and emotions. Propagation of medical knowledge was the basis of YakMyeongSi. There are limits in defining the relations of TKM and literature with some YakMyeongSi. More studies must be carried out on YakMyeongSi in various records with details and interests. Also, study to define general relations of TKM and literature must be carried out together by examining TKM in literary forms such as medical introductions or medical property songs and literature pieces that expressed principles and materials of TKM.

Performance Analysis of IEEE 1394 High Speed Serial Bus for Massive Multimedia Transmission (대용량 멀티미디어 전송을 위한 IEEE 1394고속 직렬 버스의 성능 분석)

  • 이희진;민구봉;김종권
    • Journal of KIISE:Information Networking
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    • v.30 no.4
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    • pp.494-503
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    • 2003
  • The IEEE 1394 High Speed Serial Bus is a versatile, high-performance, and low-cost method of promoting interoperability between all types of A/V and computing devices. IEEE 1394 provides two transfer modes: asynchronous mode for best effort service and isochronous mode for best effort service with bandwidth reservation. This paper shows the bus performance and compared the transfer odes first at the link level and then at the application level. For the application level performance, we analyze the bus systems with fixed and adaptive interfaces, applied between the upper layer and the 1394 layer, using polling systems. Also we verifies the analysis models with simulation studies. Based on our analysis, we conclude that the adaptive interface reduces the bus access time and so increases the bus utilization.

A study about art theory of Yeoncheon Hong Seok-joo - Focused on difference with Jeong Yak-yong丁若鏞 (연천 홍석주의 예술론(藝術論)에 대한 일고찰 - 정약용(丁若鏞)과의 차이점을 중심으로 -)

  • Yoon, Jong-il
    • (The)Study of the Eastern Classic
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    • no.55
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    • pp.223-264
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    • 2014
  • Yeoncheon Hong Seok-joo(淵泉 洪奭周: 1774-1842) faithfully followed a policy of restoration of literary style of king Jeongjo. He was an young vassal after 1794 and influenced by Jeongjo because Yeoncheon was around the king. Furthermore, he had comparatively favorable working period as a vassal(仕宦期, 1795-1836) after death of Jeongjo(1800) while establishing his own academic viewpoint. Therefore, a study about art theory of Yeoncheon Hong Seok-joo is one about logical system to accept various desires for change of then while not getting rid of scope of Neo-Confucianism after Jeongjo. It is catched that exchange of Hong Seok-joo and Jeong Yak-yong was made relating to study of Sangseo. Hong Seok-joo and Jeong Yak-yong absorbed in study of Sangseo, which is come from putting importance on 6 scriptures (經) among studies of scriptures by both of them. Through this, they aimed to re-discover ideology of original Confucian studies as one for cultivating oneself and governing people (修己治人之學). Dasan and Yeoncheon have something in common that they were young vassals who were cultivated as a guarding power for Jeongjo centered on Gyujanggak. They were largely fit to view of literature(文體觀) of Jeongjo. Hong Seok-joo distinguished function of prose(文) and poetry(詩) into teaching moral(明敎) and moving people(感人) in the category of Mun-yi-jae-do(文以載道) based on thoughts of 'literature is linguistic device for Taoism '(道本文末)' which is a core concept of literature theory based on Neo-Confucianism. He gave a careful attention on instructional and social function in prose while on emotional understanding that puts importance on temper and the secrets of nature in poetry. Hong Seok-joo regarded moral impression and edification through this as a core of artistic creation based on Segyoseol(世敎說). Furthermore, expressions such as 'Heunggwangunwon(興觀群怨)' or 'Yeohangguyo(閭巷謳謠) which are mentioned as important elements in his artistic works put importance on actual existence of objective things in artistic activity and this is connected to an attitude to require description fit to fact. So, it is assumed that such expression style aimed for features of genre painting in painting arts. Understanding of the study of ancient documents by Yeoncheon developed from critical perspective. He criticized the study of ancient documents, saying it as first, Pasoijisul(破碎之術), second, Dotaekjisul(塗澤之術), third, Hoimojisul(毁侮之術). Jeong Yak-yong criticized ' theory on the Odes' from viewpoint of theory of Mun-yi-jae-do(文以載道) based on Neo-Confucianism. He stressed political and social function of Sipeon and general poetry in "the Odes" and reinterprets discourses about poetry of Zhu Xi based on his own opinion. He says that poems of national fashion do political and social criticism. The theory of national fashion by Jeong Yak-yong clearly discloses his thoughts that stress practical role of noblemen in the social and political context.