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  1. 1

    An improved positivity preserving odd degree-n Said-Ball boundary curves on rectangular grid using partial differential equation by Kherd, Ahmed, Saaban, Azizan, Man, Noraziah

    Published 2016
    “…This paper discusses the sufficient conditions for positivity preserving odd degree-n Said-Ball boundary curves defined on a rectangular grid.We derive a sufficient condition on boundary curves of rectangular Said-Ball patches where the lower bound ordinates are adjusted independently.To construct the boundary curves for each rectangular patch, the Said-Ball polynomial solution of fourth order PDE will be considered where its coefficients can be calculated using edge Said-Ball ordinates which fulfill the positivity preserving conditions.Graphical examples are presented using well-known test functions.…”
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    Article
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    Maximum; Likelihood Estimation For The Non-Separable Spatial Unilateral Autoregressive Model. by Awang, Norhashidah, Shitan, Mahendran

    Published 2008
    “…We show that this procedure is practical and easy to be implemented We illustrate the procedure by fitting the AR(l, J) model to two set of data on the regular rectangular grid.…”
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    Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition by Kherd, Ahmed, Saaban, Azizan, Man, Noraziah

    Published 2014
    “…In this paper, the sufficient condition for the positive preservation of boundary curves for each edges of bicubic rectangular Said-Ball patches will be discussed.With the use of polynomial solution of fourth order linear PDEs, these curves are defined on rectangular grid for the purpose of enhancing the positivity preservation of the interpolating surface. …”
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    Article
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    Staggered Grid Computation of Fluid Flow with an Improved Discretisation of Finite Differencing by Nursalasawati, Binti Rusli, Ahmad Kueh, Beng Hong, Erwan Hafizi, Bin Kasiman

    Published 2011
    “…The present paper models the fundamental problems of fluid flow using a discretely improved finite difference method on a staggered computational grid. The developed finite difference formulation is applied to well-established benchmark problems, namely, the lid-driven cavity flow, the developing laminar flow in a straight rectangular duct and the backward-facing step flow. …”
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    Proceeding
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    Surface Interpolation Using Partial Differentiation Equation with Positivity Preserving Cubic Bezier Curves Boundary Condition by ABDUL KARIM, SAMSUL ARIFFIN

    Published 2012
    “…This paper proposed the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using a polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. …”
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    Development of secondary flow in a curved rectangular duct by Darus, Amer Nordin, Yap, Yip Fatt

    Published 2008
    “…Development of secondary flow in curved rectangular regular section duct using an improved finite difference scheme for solving parabolized Navier-Stokes equations is presented. …”
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    Article
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    Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition by Kherd, Ahmed, Saaban, Azizan, Man, Noraziah

    Published 2013
    “…This paper proposes the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. …”
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    Article
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    Monkey Algorithm for Packing Circles with Binary Variables by Torres-Escobar, R., Marmolejo-Saucedo, J.A., Litvinchev, I., Vasant, P.

    Published 2019
    “…The proposed algorithm uses a grid for approximating the container and considering the grid points as potential positions for assigning centers of the circles. …”
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    Article
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    Monkey Algorithm for Packing Circles with Binary Variables by Torres-Escobar, R., Marmolejo-Saucedo, J.A., Litvinchev, I., Vasant, P.

    Published 2019
    “…The proposed algorithm uses a grid for approximating the container and considering the grid points as potential positions for assigning centers of the circles. …”
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    Article
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    Entrainment Behaviour of Particles Induced by A Half-Submerged Horizontal Rotary Drum by Hasan, Nurul

    Published 2004
    “…The flow is presented by two dimensional model equations neglecting the end effects of the RD and solving by finite volume method. Generation a grid of order of micron covering a curved surface, solving the flow equations on this grid, has difficulties in terms of stability and convergence. …”
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    Spatial variability of pineapple yields on tropical peat. by Balasundram, Siva Kumar, Mohd Hanif, Ahmad Husni, Ahmad, Osumanu Haruna

    Published 2008
    “…In situ yield measurements were recorded based on 0.6 × 25-m rectangular grids. A total of 60 geo-referenced yield records were obtained. …”
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    Article
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    2d Deep Cavity Flow, Lid Driven Using Conventional Methodwith New Perspective by Muhammad Saifuddin, Idris, N. M. M., Ammar

    Published 2010
    “…The predicted result from FDM with new perspective gives more improvement results as grid mesh increases.…”
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    Numerical study on natural convection in enclosures with different geometries / Cheong Huey Tyng by Cheong, Huey Tyng

    Published 2017
    “…The governing equations and boundary conditions are dimensional, and hence dimensionless method is employed to reduce the equations to dimensionless form. Grid generation method is used to map the non-rectangular domain to a rectangular computational domain. …”
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    Thesis
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