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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9237
Title: Single cell finite difference approximations of O(kh2 + h4) for ∂u/∂x for one space dimensional nonlinear parabolic equation
Authors: Mohanty R.K.
Jain, Manoj Kumar
Kumar D.
Published in: Numerical Methods for Partial Differential Equations
Abstract: We report a new two-level explicit finite difference method of O(kh2 + h4) using three spatial grid points for the numerical solution of ∂u/∂x for the solution of one-space dimensional nonlinear parabolic partial differential equation subject to appropriate initial and Dirichlet boundary conditions. The method is shown to be unconditionally stable when applied to a linear equation. The proposed method is applicable to the problems both in cartesian and polar coordinates. Numerical examples are provided to demonstrate the efficiency and accuracy of the method discussed. © 2000 John Wiley & Sons, Inc.
Citation: Numerical Methods for Partial Differential Equations (2000), 16(4): 408-415
URI: https://doi.org/10.1002/1098-2426(200007)16:4<408
http://repository.iitr.ac.in/handle/123456789/9237
Issue Date: 2000
Publisher: John Wiley and Sons Inc.
Keywords: Burger's equation
Finite difference method
First order space derivative
Nonlinear parabolic equation
Polar coordinates
RMS errors
Single cell
ISSN: 0749159X
Author Scopus IDs: 22938082300
57225721930
57212687822
Author Affiliations: Mohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110007, India
Jain, M.K., Department of Mathematics, Faculty of Sciences, University of Mauritius, Reduit, Mauritius
Kumar, D., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110007, India
Corresponding Author: Mohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110007, India; email: rmohanty@himalaya.du.ac.in
Appears in Collections:Journal Publications [HY]

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