7 research outputs found
Constructing new control points for Bézier interpolating polynomials using new geometrical approach
No full textInterpolation is a mathematical technique employed for estimating the value of missing data between data points. This technique assures that the resulting polynomial passes through all data points. One of the most useful interpolating polynomials is the parametric interpolating polynomial. Bézier interpolating curves and surfaces are parametric interpolating polynomials for two-dimensional (2D) and three-dimensional (3D) datasets, respectively, that produce smooth, flexible, and accurate functions. According to the previous studies, the most crucial component in deriving Bézier interpolating polynomials is the construction of control points. However, most of the existing strategies constructed control points that produce partial smooth functions. As a result, the approximate values of the missing data are not accurate. In this study, nine new strategies of geometrical approach for constructing new 2D and 3D Bézier control points are proposed. The obtained control points from each new strategies are substituted in the relevant Bézier curve and surface equations to derive Bézier piecewise and non-piecewise interpolating polynomials which leads to the development of nine new methods. The proposed methods are proven to preserve the stability and smoothness of the generated Bézier interpolating curves and surfaces. In addition, the numerical results show that most of the resulting polynomials are able to approximate the missing values more accurately compared to those derived by the existing methods. The Bézier interpolating surfaces derived by the proposed method with highest accuracy for 3D datasets are then applied to upscale grey and colour images by the factors of two and three. Not only does the proposed method produces higher quality upscaled images, the numerical results also show that it outperforms the existing methods in terms of accuracy. Therefore, this study has successfully proposed new strategies for constructing new 2D and 3D control points for deriving Bézier interpolating polynomials that are capable of approximating the missing values accurately. In terms of application, the derived Bézier interpolating surfaces have a great potential to be employed in image upscaling
Geometric Piecewise Cubic Bézier Interpolating Polynomial with C2 Continuity
No full textBézier curve is a parametric polynomial that is applied to produce good piecewise interpolation methods with more advantage over the other piecewise polynomials. It is, therefore, crucial to construct Bézier curves that are smooth and able to increase the accuracy of the solutions. Most of the known strategies for determining internal control points for piecewise Bezier curves achieve only partial smoothness, satisfying the first order of continuity. Some solutions allow you to construct interpolation polynomials with smoothness in width along the approximating curve. However, they are still unable to handle the locations of the inner control points. The partial smoothness and non-controlling locations of inner control points may affect the accuracy of the approximate curve of the dataset. In order to improve the smoothness and accuracy of the previous strategies, а new piecewise cubic Bézier polynomial with second-order of continuity C2 is proposed in this study to estimate missing values. The proposed method employs geometric construction to find the inner control points for each adjacent subinterval of the given dataset. Not only the proposed method preserves stability and smoothness, the error analysis of numerical results also indicates that the resultant interpolating polynomial is more accurate than the ones produced by the existing methods
Radiative MHD flow and heat transfer characteristics of Cu-Fe3O4 /blood base hybridized nanofluid through stenotic artery
No full textThe main purpose of the present study is to examine the key role of Cu and Fe3O4 nanoparticles that are submerged in human blood in the existence of magnetohydrodynamics (MHD) flow through the stenosis artery. The reason behind the selection of Cu and Fe3O4 nanoparticles is that they show high potential usefulness in drug delivery and imaging properties. Moreover, the governing partial differential equations (PDEs) that define the flow and the heat transfer characteristics of blood-based hybrid nanofluid (HNF) are converted to non-dimensional form of ordinary differential equations (ODEs) using suitable similarity transformation. The shooting method is applied to solve the equations through Maple software to observe the effects of specified nanoparticles volume fractions and used physical parameters in stenotic arteries. The results show that the velocity of human blood gradually decreases with an increase in the size of the nanoparticles but temperature increases in both cases of the , either stretching or shrinking. Moreover, an increase in magnetic, suction/injection, and nanoparticle volume fractions decrease the velocity of the blood-based hybrid nanofluid flow through the stenotic artery. While, an increase in thermal radiation, magnetic, flow parameters, and nanoparticle volume fraction increases the temperature of the blood during flow through the stenotic artery. On the other hand, the Prandtl number and suction/injection parameter decrease the temperature of the blood during flow through the stenotic artery. The present research has the potential that be proven highly advantageous for an effective drug delivery in human blood arteries
Dual solutions of magnetized radiative flow of Casson Nanofluid over a stretching/shrinking cylinder: Stability analysis
No full textThe enhanced thermal efficiency exhibited by Casson nanofluids offers significant practical applications across various industrial and engineering sectors. This study focuses on the mathematical investigation of the steady magnetohydrodynamic (MHD) boundary layer flow of Casson nanofluid through a stretched/shrinking cylinder, taking into account the effects of suction and thermal radiation. The governing partial differential equations (PDEs) have been subjected to a similarity transformation, resulting in a set of nonlinear ordinary differential equations (ODEs). These ODEs were solved numerically utilizing the code of bvp4c in the software of Matlab which offers high accuracy (4th order). The employed nanofluid model incorporates the effects of Brownian motion and thermophoresis. The present study illustrates the graphical depictions of the impacts of different governing parameters, namely Hartmann (M) number, curvature (γ) parameter, Brownian motion (Nb) parameter, mass suction (S) parameter, thermal radiation (Rd) parameter, and thermophoresis (Nt) parameter, on heat transfer, flow, and mass transfer characteristics. Comprehensive determination and visual presentation of the coefficient of skin friction, local Nusselt number, and local Sherwood number were conducted for a range of estimates of applied parameters. Based on our examination, it has been determined that dual similarity solutions are present within a specific range of mass suction parameters. The relationship between the Casson parameter and various fluid dynamic properties, such as skin friction coefficient, heat transfer rate, and mass transfer rates, has been found to exhibit a decreasing trend. Furthermore, the stability analysis discovered that the first solution exhibits linear stability, whereas the second solution displays linear instability. Additionally, the motivation behind this study is to enhance industrial performance through the optimization of thermal power generation systems, thereby increasing their overall efficiency
Dual numerical solutions of Casson SA–hybrid nanofluid toward a stagnation point flow over stretching/shrinking cylinder
No full textA computational study of Casson sodium alginate–hybrid nanofluid of stagnation point flow through a shrinking/stretching cylinder with radius effect was carried out. Since the hybrid nanofluid is considered more contemporary type of nanofluid, it is currently being employed to enhance the efficiency of heat transmission rates. The aim of this study is to scrutinize the effect of particular parameters, such as the shrinking parameter, the Reynold number, the Casson fluid parameter, the solid copper volume fraction, and the Prandtl number, on the temperature and velocity profiles. Furthermore, the research looked into the variation of skin friction coefficient as well as the Nusselt number according to the Casson fluid parameters, and the copper solid volume fraction against shrinking parameter was investigated as part of this study. By including the appropriate similarity variables in the alteration, the nonlinear partial differential equation has been transformed into a set of ordinary differential equations (ODEs). In the end, the MATLAB bvp4c solver program is used to rectify ODEs. The findings revealed the existence of two solutions for shrinking surface with varying copper volume fractions and Casson fluid parameter values. Furthermore, the temperature profile rate was reduced in both solutions as the strength of the Reynold number, Casson fluid parameter, and copper volume fraction increased. Finally, non-unique solutions were obtained in the range of λ≥λci\lambda \ge {\lambda }_{{\rm{ci}}}
Multiple solutions of Hiemenz flow of CNTs hybrid base C2H6O2+H2O nanofluid and heat transfer over stretching/shrinking surface: Stability analysis
No full textThe purpose of the current article is to numerically and theoretically examine the flow of two-dimensional (2D) steady Hiemenz with the transfer of heat of carbon nanotubes (CNTs) hybrid base C2H6O2+H2O (Ethylene glycol + water) nanofluid across a linear shrinking/stretching surface. The equations of Navier–Stokes have been converted into equations of self-similar applying suitable transformations of similarity variables, and then numerically resolved using the three-stage Labatto-three-A formula. In addition, an endeavor is made to extend the behavior of asymptotic of the solution to massive stretching. The comparison between the found asymptotic solutions and previously reported numerical results is rather impressive. Observations indicate that equations of self-similar display double solutions within the restricted shrinking parameter range. There exists one solution for every case of stretching. In the first solution, the impacts of nanoparticle solid volume fraction and shrinking parameters on velocity and thermal fields exhibit an increasing trend. Consequently, the linear analysis of temporal stability has been performed to establish the most fundamentally viable option. The smallest eigenvalue sign determines whether a solution is unstable or stable for the purposes of stability analysis. The analysis of stability demonstrates that the first solution describing the primary flow is stable
Acta Oeconomica
No full textGadó Ottó: Relations between the 1968 Economic Plan and the Economic Regulators
Révész Gábor: Regulation of Enterprise Profits under the New System of Economic control and Management
Ács Lajos: The Effects of the Banking System on Enterprise Management under the New Hungarian Economic Mechanism
Román Zoltán: The Hungarian Industry: An International Comparison
Triffin, Robert: Monetary Aspects of International Economic Integration
Hasab, Fadhel Abbas: The International Oil Price Mechanism
REVIEWS
Schweitzer Iván: Konferenci SÉV po cenam v Budapešte
Mausecz Zsuzsa: The 6th Itinerant Conference of Hungarian Economists
A New Hungarian Economic Quarterly
BOOK REVIEWS
Kornai, J.: Mathematical Planning of Structural Decisions.
Fall L.: Hoch, R. and associates: Az élelmiszerek fogyasztói árképzésének kritikai elemzése (A Critical Analysis of the Formation of Consumers' Food Prices)
Megyeri E.: Hevesi, Gy.: Folyamatos munkarendek alkalmazásának gazdasági, szervezési és szociális kérdései (Economic, Organizational and Social Aspects of the Application of Continuous Work Programmes)
Becsky György: Pataki, J.: Állami gazdaságpolitika Nyugat-Európában (Government Economic Policy in Western Europe)
Forgács Katalin: Sipos, A.: Agrárviszonyok Nyugat-Európában (Agrarverhältnisse in Westeuropa)
Vizel I.: Kövér, K.: A tőkés világ valutarendszere (Balutnaâ sistema kapitalističeskogo mira)
About the Authors
1968 / 2. szám
Zala Júlia: 1958-1967: The Economic trends of a Decade
Augusztinovics Mária: A Comparative Analysis of Foreign Trade Impacts on the Hungarian Economy
Kovács János: Les couts de la formation professionnelle et les rapports des salaires
Cukor György: The Growth of the Engineering Industries in the Developing Countries
Wiesel Iván: Cuban Economy after the Revolution
REVIEWS
Schmidt Ádám: Some Problems Concerning the Calculation of Socialist National Income
Havas Zsuzsa: The Role of the Institute for Economic and Market Research under the New System of economic Management
BOOK REVIEWS
Kovács J.: Berényi, J.: Foglalkoztatottság és életszínvonal (Employment and Living Standards)
Tényi Gy.: Bikics, I. - Bod, P. et al.: Döntési modellek (Decision Models)
Vági Ferenc: Gönczi, I. - Kádár, B. - Vadász L.: Mezőgazdasági vállalatok és üzemek gazdaságtana (The Economics of Agricultural Enterprises and Plans)
Fekete Ferenc: Fazakas, B.: Mezőgazdaságunk a felszabadulás után (Hungarian Agriculture since the Liberation in 1945)
Mandel Miklós: Kádár, B.: Gazdaságfejlesztés és nemzetközi munkamegosztás a fejlődő országokban (Economic Development and International Division of Labour in the Developing Countries)
About the Authors
1968 / 3. szám
Vajda Imre: The Problems of East-West Trade
Tinbergen, Jan: The Optimal International Division of Labour (Netherlands Economic Institute, Rotterdam)
Hetényi István: Problems of Long-Term Planning and the International Coordination of National Plans under CMEA
Szakolczai György - Vásárhelyi Péter: Extrapolated Matrices of Input-Output Technical Coefficients
Forgács Katalin: Rolle und Beschaffenheit des Familienbetriebes in der Westdeutschen Landwirtschaft
REVIEWS
Schweitzer Iván: Ten Years of the Development of Economics in Hungary
Szabó László: Scientific Research into the Problems of Home Trade
BOOK REVIEWS
Radnóti Éva: Csikós-Nagy, B.: Általános és szocialista árelmélet (General and Socialist Price Theory)
Kovács, G.: Gazdaságpolitikai célkitűzések és a mechanizmus (Celeustanovki ékonomičeskoj politiki i mehanizm)
Cukor György: Bognár, J.: Gazdasági növekedés irányítása a fejlődő világban (Economic Policy and Planning in the Developing Countries)
About the Authors
1968 / 4. szám
Friss István: Economic Research in the Service of National Economic Planning
Erdei Ferenc: Teoretičeskie voprosy kooperativnogo dviženiâ
Csernok Attila: Hungary's National Income Established on the Basis of the System of National Accounts
Žukova, Irina - Miklós Ágnes: Ob ékonomičeskom razvitii nekotoryh stran SÉV
REVIEWS
Gervai Béla: The Role and Situation of Private Artisans in Hungary
Kovács István: The Institute for Economic Planning of the National Planning Office
BOOK REVIEWS
Bertóti L.: Ripp, G.: A gazdasági növekedés szakaszai és az ipari társadalom elmélete (Étapy ékonomičeskogo rosta i teoriâ promyšlennogo obsestva)
Kígyóssy-Schmidt Éva: Kovács, J.: Szakképzés és népgazdaság (Vocational training and the National Economy)
Gönczi Iván: Vági, F.: Agrárgazdaságtan (Agricultural Economics)
Szabó Gábor: Papp, S.: Különbözeti földjáradék és a gazdaságpolitika (Differencial'naâ zemel'naâ renta i ékonomičeskaâ politika)
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