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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9086
Title: A higher-order difference method for 3-d parabolic partial differential equations with nonlinear first derivative terms
Authors: Jain, Manoj Kumar
Jain R.K.
Mohanty R.K.
Published in: International Journal of Computer Mathematics
Abstract: In this paper, we present a finite difference method of 0(k2+ kh2+h4) for the second order nonlinear 3-D parabolic partial differential equation v1uxx + v2uyy+ v3uzz = f(x, y, z, t, u, ux, uy, uz, ur) where vi, i= 1,2,3 are positive constants, using 19 spatial grid points subject to Dirichlet boundary conditions. The unconditionally stable character of the difference scheme when applied to a linear diffusion-convection equation has been verified. Numerical examples are given to demonstrate the performance of the method derived. © 1991, Taylor & Francis Group, LLC. All rights reserved.
Citation: International Journal of Computer Mathematics (1991), 38(43862): 101-112
URI: https://doi.org/10.1080/00207169108803961
http://repository.iitr.ac.in/handle/123456789/9086
Issue Date: 1991
Keywords: 3-D Parabolic partial differential equations
finite difference method
linear diffusion-convection equation
operator splitting method
stability analysis
ISSN: 207160
Author Scopus IDs: 57225721930
26659438700
22938082300
Author Affiliations: Jain, M.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India
Jain, R.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India
Mohanty, R.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India
Corresponding Author: Jain, M.K.; A.P.S. University, Rewa (M.P.), 486001, India
Appears in Collections:Journal Publications [HY]

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