http://repository.iitr.ac.in/handle/123456789/9086
DC Field | Value | Language |
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dc.contributor.author | Jain, Manoj Kumar | - |
dc.contributor.author | Jain R.K. | - |
dc.contributor.author | Mohanty R.K. | - |
dc.date.accessioned | 2020-10-09T06:18:07Z | - |
dc.date.available | 2020-10-09T06:18:07Z | - |
dc.date.issued | 1991 | - |
dc.identifier.citation | International Journal of Computer Mathematics (1991), 38(43862): 101-112 | - |
dc.identifier.issn | 207160 | - |
dc.identifier.uri | https://doi.org/10.1080/00207169108803961 | - |
dc.identifier.uri | http://repository.iitr.ac.in/handle/123456789/9086 | - |
dc.description.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. | - |
dc.language.iso | en_US | - |
dc.relation.ispartof | International Journal of Computer Mathematics | - |
dc.subject | 3-D Parabolic partial differential equations | - |
dc.subject | finite difference method | - |
dc.subject | linear diffusion-convection equation | - |
dc.subject | operator splitting method | - |
dc.subject | stability analysis | - |
dc.title | A higher-order difference method for 3-d parabolic partial differential equations with nonlinear first derivative terms | - |
dc.type | Article | - |
dc.scopusid | 57225721930 | - |
dc.scopusid | 26659438700 | - |
dc.scopusid | 22938082300 | - |
dc.affiliation | Jain, M.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India | - |
dc.affiliation | Jain, R.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India | - |
dc.affiliation | Mohanty, R.K., Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi-110016, India | - |
dc.description.correspondingauthor | Jain, M.K.; A.P.S. University, Rewa (M.P.), 486001, India | - |
Appears in Collections: | Journal Publications [HY] |
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