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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9158
Title: High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients
Authors: Mohanty R.K.
Jain, Manoj Kumar
Published in: Journal of Computational and Applied Mathematics
Abstract: In this article, two-level compact implicit difference methods of O(k2 + kh2 + h4) using 9-spatial grid points are proposed for the numerical solution of the system of two-dimensional nonlinear parabolic equations with variable coefficients subject to the Dirichlet boundary conditions, where k > 0 and h > 0 are step lengths in time and space directions, respectively. The proposed difference method for scalar equation is applied for the solution of the heat conduction equation in polar coordinates to obtain the two-level unconditionally stable ADI method of O(k2 + h4). The method having two variables also has been successfully applied on two-dimensional unsteady Navier-Stokes' model equations in polar coordinates. Some numerical examples are presented to demonstrate the accuracy of the implementation.
Citation: Journal of Computational and Applied Mathematics (1996), 70(1): 15-32
URI: https://doi.org/10.1016/0377-0427(95)00135-2
http://repository.iitr.ac.in/handle/123456789/9158
Issue Date: 1996
Publisher: Elsevier
Keywords: ADI method
Difference method
Navier-Stokes' equations
Parabolic equation
Polar coordinates
ISSN: 3770427
Author Scopus IDs: 22938082300
57225721930
Author Affiliations: Mohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India
Jain, M.K., Dept. of Math. and Physical Sciences, Faculty of Science, University of Mauritius, Reduit, Mauritius
Corresponding Author: Mohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India
Appears in Collections:Journal Publications [HY]

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