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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9146
Title: Finite difference methods of order two and four for 2-D non-linear biharmonic problems of first kind
Authors: Mohanty R.K.
Jain, Manoj Kumar
Pandey P.K.
Published in: International Journal of Computer Mathematics
Abstract: For the numerical integration of the 2-D nonlinear biharmonic problems of first kind, we report two difference methods of order two and four over a rectangular domain. These methods use only the nine grid points and do not require fictitious points in order to approximate the boundary conditions. Derivatives of the solution are obtained as a by-product of the methods. In numerical experiments, the new second and fourth order formulas are compared with the exact solutions.
Citation: International Journal of Computer Mathematics (1996), 61(43862): 155-163
URI: https://doi.org/10.1080/00207169608804507
http://repository.iitr.ac.in/handle/123456789/9146
Issue Date: 1996
Publisher: Taylor and Francis Inc.
Keywords: Finite difference methods
Maximum absolute errors
Nonlinear biharmonic equations
Plate problem
Singular equation
ISSN: 207160
Author Scopus IDs: 22938082300
56226587200
35399213500
Author Affiliations: Mohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India
Jain, M.K., Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius
Pandey, P.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India
Funding Details: CSIR Fellowship to one of the authors P. K. Pandey is greatly acknowledged
Corresponding Author: Mohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India
Appears in Collections:Journal Publications [HY]

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