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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9079
Title: A compact discretization of O(h4) for two-dimensional nonlinear triharmonic equations
Authors: Mohanty R.K.
Jain M.K.
Mishra B.N.
Published in: Physica Scripta
Abstract: We report a new finite-difference approximation of O(h4) for two-dimensional nonlinear triharmonic partial differential equations on a nine-point compact stencil where the values of u, ∂ 2u/ ∂n2 and ∂ 4u/∂n4 are prescribed on the boundary. In this method, there is no need to discretize the derivative boundary conditions. The Laplacian and the biharmonic of the solution are obtained as a by-product of the method. We require only a system of three equations to obtain the solution. We compare the advantages and implementation of the proposed method with the corresponding central difference approximations of O(h2) in the context of iterative methods. Numerical results are given to verify the fourth-order convergence rate of the method. © 2011 The Royal Swedish Academy of Sciences.
Citation: Physica Scripta (2011), 84(2): -
URI: https://doi.org/10.1088/0031-8949/84/02/025002
http://repository.iitr.ac.in/handle/123456789/9079
Issue Date: 2011
ISSN: 318949
Author Scopus IDs: 22938082300
56226587200
57213216384
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, Indian Institute of Technology, Hauz Khas, New Delhi-110 016, India, 4076, C/4, Vasant Kunj, New Delhi-110 070, India
Mishra, B.N., Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar-751 004, India, Department of Mathematics, Rajasunakhala College, Nayagarh, Orissa, 752 065, India
Corresponding Author: Mohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India; email: rmohanty@maths.du.ac.in
Appears in Collections:Journal Publications [HY]

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