Wyniki wyszukiwania - Biblioteka Nauki

1

A Six-order Variant of Newton’s Method for Solving Nonlinear Equations

100%

Singh M. K.

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tom Vol. 15, nr 2

185-193

EN

A new variant of Newton's method based on contra harmonic mean has been developed and its convergence properties have been discussed. The order of convergence of the proposed method is six. Starting with a suitably chosen x0, the method generates a sequence of iterates converging to the root. The convergence analysis is provided to establish its sixth order of convergence. In terms of computational cost, it requires evaluations of only two functions and two first order derivatives per iteration. This implies that efficiency index of our method is 1.5651. The proposed method is comparable with the methods of Parhi, and Gupta [15] and that of Kou and Li [8]. It does not require the evaluation of the second order derivative of the given function as required in the family of Chebyshev-Halley type methods. The efficiency of the method is tested on a number of numerical examples. It is observed that our method takes lesser number of iterations than Newton’s method and the other third order variants of Newton´s method. In comparison with the sixth order methods, it behaves either similarly or better for the examples considered.

2

Solution of one-dimensional space- and time-fractional advection–dispersion equation by homotopy perturbation method

63%

Singh M. K. , Chatterjee A.

Acta Geophysica

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2017

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tom Vol. 65, no. 2

353--361

EN

This study develops solution of one-dimensional space–time fractional advection–dispersion equation (FADE). Various forms of dispersion and velocity profiles (i.e. space dependent and both space–time dependent) are considered throughout the study. Homotopy perturbation method (HPM) is used to solve the problem semi-analytically. The advantage of HPM is that it does not require much information about the boundary of the aquifer. The initial condition may be measured for an aquifer, but sometimes it is very difficult to specify the boundary conditions. The FADE is employed for modeling the fate of contaminants in both homogeneous and heterogeneous porous formations subject to an increasing spatially dependent source condition. It is found that the contaminant concentration changes with the order of FADE as fractional-order derivative contains the memory of the system, i.e. how the system changes from one integer order to another integer order. FADEs are used to model the non-local system, hence this study helps understand the physical meaning of parameters involved in the velocity and dispersion.

3

Cosmetotextiles: State of Art

51%

Singh M. K. , Varun V. K. , Behera B. K.

Fibres & Textiles in Eastern Europe

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2011

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tom Vol. 19, no. 4 (87)

27--33

EN

The main aim of this article is to collect the scattered knowledge of Cosmetotextiles and present it to the world scientific community for scrutiny. Various aspects of Cosmetotextiles are compiled systematically and oriented towards product development. The technology of Cosmetotextiles is at the neonatal stage. The joint efforts of textile technologists, biochemists, cosmetic experts and medicos can achieve challenging targets in the field of Cosmetotextiles. Various derivatives of metals, plants and animals are used in pure and derivative form to generate cosmetic functionality in textiles. Various routes for the incorporation of cosmetic potentail in textiles are available, of which microencapsulation and the use of cyclodextrin as cage material are the most popular. The content of moisture on skin surface is a key parameter in maintaining skin elasticity and glowing potential. The characterization of Cosmetotextiles is a difficult task, but the Europeans have taken the lead by classifying and standardising the testing of the cosmetic effects of cosmetotextiles.

PL

Celem artykułu jest przedstawienie wiedzy rozrzuconej w różnych źródłach na temat nowo wprowadzonego pojęcia kosmotekstyliów. Przedstawiono podział kosmotekstyliów, kierunki możliwych aplikacji, stosowane zróżnicowane technologie dla otrzymania pożądanego efektu, środki wywołujące odpowiedni efekt wprowadzane do włókien przędz, tkanin lub dzianin oraz gotowych produktów. Opisano również stosowane sposoby badań i testów. Podano także liczne przykłady współcześnie stosowanych kosmotekstyliów.

4

Public goods and externalities: new direction for CAP in the post 2013 period

51%

Vasary M. , Singh M. K. , Buzas S.

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tom 12

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nr 6

EN

The CAP is in an important reform phase. In this process will be reorganized the principles and functioning, so will be by the argumentation even importer the common interest and the public goods. In this process must be focus on some challenges by the provision of environmental public goods.

PL

Wspólna polityka rolna UE jest w fazie znaczących zmian związanych z nową perspektywą finansową po 2013 roku. W procesie tym istotną rolę przypisuje się dobrom publicznym. Artykuł omawia zagadnienia środowiskowych dóbr publicznych w kontekście reform WPR.

5

Effect of UV-B radiation on the defence system of Labeo rohita (Actinopterygii: Cypriniformes: Cyprinidae) larvae and its modulation by seed of devil’s horsewhip, Achyranthes aspera

51%

Singh M. K. , Sharma J. , Chakrabarti R.

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nr 2

EN

Background. Ultraviolet (UV-B) radiation affects the immune system of fish. Dietary supplementation of natural immunostimulants may enhance the immunity of fish. The presently reported investigation evaluates the UV-B protective property of Achyranthes aspera seed in larvae of rohu, Labeo rohita (Hamilton, 1822). Materials and Methods. Larvae (1.19 ± 0.03 g) were fed four formulas of diet containing 0.0% (control), 0.1%, 0.5%, and 1.0% Achyranthes aspera seeds. After 51 days, larvae of each feeding treatment were divided into two groups. One groups was exposed to UV-B radiation (80 µW · cm–2) and the other one remained unexposed. Results. Average weight of fish was significantly (P < 0.05) higher in fish fed 0.5%-seed-supplemented diet (compared to other treatments). UV-B radiation affected the growth of fish fed 0.1%-seed-supplemented- and control diets; other two treatments remained unaffected. Total serum protein-, albumin-, and globulin levels were significantly (P < 0.05) higher in exposed fish compared to the unexposed ones. Among the exposed groups, serum glutamic oxaloacetic transaminase and serum glutamate pyruvate transaminase levels were minimum in fish fed 1.0%-seed-supplemented diet, whereas the highest levels of myeloperoxidase, hemagglutination titre, and white blood cells were found in fish fed 0.5%-seed-supplemented diet group. Conclusion. Dietary supplementation of A. aspera seed at 0.5% level enhanced the growth and immunity of UV-B exposed fish.

6

Chaotic convection of viscoelastic fluid in porous medium under G-jitter

51%

Bhadauria B. S. , Singh A. , Singh M. K.

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tom Vol. 24, no. 1

37--51

EN

The present article aims at investigating the effect of gravity modulation on chaotic convection of a viscoelastic fluid in porous media. For this, the problem is reduced into Lorenz system (non-autonomous) by employing the truncated Galerkin expansion method. The system shows transitions from periodic to chaotic behavior on increasing the scaled Rayleigh number R. The amplitude of modulation advances the chaotic nature in the system while the frequency of modulation has a tendency to delay the chaotic behavior which is in good agreement with the results due to [1]. The behavior of the scaled relaxation and retardation parameter on the system is also studied. The phase portrait and time domain diagrams of the Lorenz system for suitable parameter values have been used to analyze the system.

7

Pollutant’s Horizontal Dispersion Along and Against Sinusoidally Varying Velocity from a Pulse Type Point Source

51%

Singh M. K. , Mahato N. K. , Kumar N.

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tom Vol. 63, no. 1

214--231

EN

An analytical solution of a two-dimensional advection diffusion equation with time dependent coefficients is obtained by using Laplace Integral Transformation Technique. The horizontal medium of solute transport is considered of semi-infinite extent along both the longitudinal and lateral directions. The input concentration is assumed at an intermediate position of the domain. It helps to evaluate concentration level along the flow as well as against the flow through one model only. The source of the input concentration is considered to be of pulse type. In the presence of the source, it is assumed to be decreasing very slowly with time, and just after the elimination of the source it is assumed to be zero. The dispersion coefficient and the advection parameter are considered directly proportional to each other. The analytical solution may be used to predict the solute concentration level with position and time in an open medium as well as in a porous medium. The effect of heterogeneity on the solute transport may also be predicted.

8

A Study on the Wilkins and Forchheimer Equations used in Coarse Granular Media Flow

51%

Banerjee A. , Pasupuleti S. , Singh M. K. , Kumar G. N. P.

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tom Vol. 66, no. 1

81--91

EN

Complexity of the pore geometry and the random nature of flow velocity make it difficult to predict and represent post laminar flow through porous media. Present study experimentally investigates the applicability of Forchheimer and Wilkins equations for post laminar flow where Darcy’s law is invalid due to predominant inertial effect. It is observed that both porosity and media size have significant influence over the coefficients of the Forchheimer coefficients. To incorporate the effect of porosity and media size, behaviour of Forchheimer coefficients are investigated with hydraulic radius as characteristic length. An inversely proportional variation trend is found for all the present and earlier reported data. A new empirical relation between Forchheimer coefficients and hydraulic radius is obtained which can be universally applicable for all media size and porosity. Coefficients of the Wilkins equation are found to be non-deviating for different hydraulic radius in the present study and in the reported literature validating its applicability in predicting the non laminar flow through porous media. Further the Wilkins equation is modified after incorporating the correction factors for better applicability on the field.