LIVIVO - The Search Portal for Life Sciences

zur deutschen Oberfläche wechseln
Advanced search

Search results

Result 1 - 10 of total 12

Search options

  1. Article ; Online: Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh

    R.K. Mohanty / Bishnu Pada Ghosh

    MethodsX, Vol 11, Iss , Pp 102308- (2023)

    2023  

    Abstract: A spline-in-compression method, implicit in nature, for computing numerical solution of second order nonlinear initial-value problems (IVPs) on a mesh not necessarily equidistant is discussed. The proposed estimation has been derived directly from ... ...

    Abstract A spline-in-compression method, implicit in nature, for computing numerical solution of second order nonlinear initial-value problems (IVPs) on a mesh not necessarily equidistant is discussed. The proposed estimation has been derived directly from consistency condition which is third-order accurate. For scientific computation, we use monotonically descending step lengths. The suggested method is applicable to a wider range of physical problems including the problems which are singular in nature. This is possible due to off-step discretization employed in the spline technique. We examine the absolute stability and super-stability of the method when applied to a problem of physical significances. We have shown that the method is absolutely stable in the case of graded mesh and super stable in the case of constant mesh. The advantage of our method lies in it being highly cost and time effective, as we employ a three-point compact stencil, thereby reducing the algebraic calculations considerably. The proposed method which is applicable to singular, boundary layer and singularly perturbed problems is a research gap which we overcame by proposing this new compact spline method.
    Keywords Non-polynomial Spline Method for Nonlinear IVPs on a Variable Mesh ; Science ; Q
    Subject code 518
    Language English
    Publishing date 2023-12-01T00:00:00Z
    Publisher Elsevier
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  2. Article ; Online: High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region

    R.K. Mohanty / Nikita Setia / Gunjan Khurana / Geetan Manchanda

    MethodsX, Vol 9, Iss , Pp 101790- (2022)

    2022  

    Abstract: This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational. It is further extended for application to a ... ...

    Abstract This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational. It is further extended for application to a system of quasilinear elliptic PDEs with Dirichlet boundary conditions (DBCs). The main highlights of the method framed in this article are as under: • It uses a 9-point stencil with unequal mesh to approach the solution. The error analysis is discussed to authenticate the order of convergence of the proposed numerical approximation. • Various validating problems, for instance the Burgers’ equation, Poisson equation in cylindrical coordinates, Navier-Stokes (NS) equations in rectangular and cylindrical coordinates are solved using the proposed techniques to depict their stability. The proposed approximation produces solution free of oscillations for large values of Reynolds Number in the vicinity of a singularity. • The results of the proposed method are superior in comparison to the existing methods of [49] and [56].
    Keywords Quasilinear elliptic partial differential equation ; Fourth order numerical approximation ; Exponential form ; Irrational domain with unequal mesh ; Convergence analysis ; Burgers’ equation ; Science ; Q
    Subject code 518
    Language English
    Publishing date 2022-01-01T00:00:00Z
    Publisher Elsevier
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  3. Article ; Online: A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates

    R. K. Mohanty / Jyoti Talwar

    Advances in Numerical Analysis, Vol

    2012  Volume 2012

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2012-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  4. Article ; Online: A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations

    R. K. Mohanty / Suruchi Singh

    Advances in Mathematical Physics , Vol

    2011  Volume 2011

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; Physics ; QC1-999 ; DOAJ:Physics (General) ; DOAJ:Physics and Astronomy
    Language English
    Publishing date 2011-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  5. Article ; Online: New Nonpolynomial Spline in Compression Method of for the Solution of 1D Wave Equation in Polar Coordinates

    Venu Gopal / R. K. Mohanty / Navnit Jha

    Advances in Numerical Analysis, Vol

    2013  Volume 2013

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  6. Article ; Online: Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System

    Navnit Jha / R. K. Mohanty / Vinod Chauhan

    Advances in Numerical Analysis, Vol

    2013  Volume 2013

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  7. Article ; Online: Cubic Spline Iterative Method for Poisson’s Equation in Cylindrical Polar Coordinates

    R. K. Mohanty / Rajive Kumar / Vijay Dahiya

    ISRN Mathematical Physics, Vol

    2012  Volume 2012

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics ; Physics ; QC1-999 ; DOAJ:Physics (General) ; DOAJ:Physics and Astronomy
    Language English
    Publishing date 2012-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  8. Article ; Online: Cubic Spline Method for 1D Wave Equation in Polar Coordinates

    R. K. Mohanty / Rajive Kumar / Vijay Dahiya

    ISRN Computational Mathematics, Vol

    2012  Volume 2012

    Keywords Applied mathematics. Quantitative methods ; T57-57.97 ; Electronic computers. Computer science ; QA75.5-76.95
    Language English
    Publishing date 2012-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

    More links

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  9. Article: The 20th century transitions in basic and extreme monsoon rainfall indices in India: Comparison of the ETCCDI indices

    Panda, Dileep K / P. Panigrahi / R.K. Mohanty / R.R. Sethi / S. Mohanty

    Atmospheric research. 2016 Nov. 15, v. 181

    2016  

    Abstract: The mean and extreme matrices of the monsoon rainfall in India not only play an important role in depicting the global monsoon climate, but also their spatiotemporal patterns influence the socio-economic profile of a major proportion of the country's ... ...

    Abstract The mean and extreme matrices of the monsoon rainfall in India not only play an important role in depicting the global monsoon climate, but also their spatiotemporal patterns influence the socio-economic profile of a major proportion of the country's huge population. Given the reported conflicting trends at the global and national scales, the present study investigates the 20th century (1901–2004) changes in monsoon rainfall of India, particularly focusing the indices developed by the Expert Team on Climate Change Detection and Indices (ETCCDI) to facilitate a global comparison. Result of this comprehensive analysis, which includes the response of fifteen indices over two study periods (i.e., 1901–1940 and 1961–2004), indicates clear signals of change with respect to the period and region of study and the choice of the ETCCDI indices. While wet day frequency, low-to-moderate events and consecutive wet days (CWD) exhibit a prominent transition from a pre-1940 wetting to a post-1960 drying tendency over a large part of the central-north India (CNI), both the wet and dry extremes have occurred in a spatially less consistent manner during the recent decades. For consecutive dry days (CDD), the reported less clear global signals could be related to the timescale of analysis, as our sub-seasonal scale results display consistent changes compared to that of the seasonal and annual scales. The Palmer Drought Severity Index (PDSI) provides clear indications of a post-1960 non-stationarity, showing changes in the mean as well as variance. Based on the partial Mann–Kendall test (PMK), some of the identified rainfall trends during 1961–2004 are found to be influenced more by the tropical Indian Ocean sea surface temperatures than the El Niño–Southern Oscillation index. These results have important implications for formulating the water resource management strategy, particularly over the drying central and northern parts of the country.
    Keywords climate ; climate change ; drought ; drying ; El Nino ; monsoon season ; rain ; surface temperature ; variance ; water management ; India ; Indian Ocean
    Language English
    Dates of publication 2016-1115
    Size p. 220-235.
    Publishing place Elsevier B.V.
    Document type Article
    ISSN 0169-8095
    DOI 10.1016/j.atmosres.2016.07.002
    Database NAL-Catalogue (AGRICOLA)

    Full text online

    More links

    Kategorien

    Order via subito

    This service is chargeable due to the Delivery terms set by subito. Orders including an article and supplementary material will be classified as separate orders. In these cases, fees will be demanded for each order.

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  10. Article: Impact of Water Resources Development and Technology Introductions on Livelihood of Farmers in Eastern India: A Case Study

    Mohanty, S / Ashwani Kumar / K. G. Mandal / R. K. Mohanty / S. Ghosh / S. K. Rautaray

    Irrigation and drainage. 2016 Dec., v. 65, no. 5

    2016  

    Abstract: Agricultural technology introductions were carried out and their impact was studied in two clusters of villages in the Dhenkanal Sadar and Odapada blocks of Dhenkanal District in Odisha in the eastern Indian plateau region. Ten water‐harvesting ... ...

    Abstract Agricultural technology introductions were carried out and their impact was studied in two clusters of villages in the Dhenkanal Sadar and Odapada blocks of Dhenkanal District in Odisha in the eastern Indian plateau region. Ten water‐harvesting structures (WHSs) were constructed in two clusters of villages in the farmers' fields on a participatory basis. Harvested water in WHSs was used for multiple purposes, viz. agriculture, fish culture, on‐dyke horticulture, vegetable cultivation, poultry, dairy and mushroom cultivation; integrated farming system (IFS) models were developed. Adequate training was also given to the farmers. The net income from the integrated farming systems varied widely between Rs. 16 100 and 251 000 ha⁻¹. Poultry farming in the uplands and intensive cultivation around the embankments of the ponds were found to be effective in increasing the net return from the IFS models. Impact analysis of the water resources development and technology introductions at the study sites was carried out by analysing the comparative position of physical, social, financial, human and natural assets of the farmers before and after adoption of the introductions. The overall standard of living of the study farmers increased from 13.5 to 17.1 on a scale of 5 to 25, respectively. Copyright © 2016 John Wiley & Sons, Ltd.
    Keywords case studies ; farmers ; fish culture ; highlands ; humans ; income ; integrated agricultural systems ; livelihood ; models ; mushroom growing ; plateaus ; ponds ; poultry ; vegetable growing ; villages ; water harvesting ; India
    Language English
    Dates of publication 2016-12
    Size p. 724-733.
    Publishing place John Wiley & Sons, Ltd
    Document type Article
    Note JOURNAL ARTICLE
    ZDB-ID 2047418-0
    ISSN 1531-0361 ; 1531-0353
    ISSN (online) 1531-0361
    ISSN 1531-0353
    DOI 10.1002/ird.2014
    Database NAL-Catalogue (AGRICOLA)

    Full text online

    More links

    Kategorien

    In stock of ZB MED Bonn / Germany

    Z 3143: Show issues

    Order via subito

    This service is chargeable due to the Delivery terms set by subito. Orders including an article and supplementary material will be classified as separate orders. In these cases, fees will be demanded for each order.

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

To top