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dc.contributor.authorMohanty R.K.-
dc.contributor.authorJain, Manoj Kumar-
dc.contributor.authorMishra B.N.-
dc.identifier.citationPhysica Scripta (2011), 84(2): --
dc.description.abstractWe 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.-
dc.relation.ispartofPhysica Scripta-
dc.titleA compact discretization of O(h4) for two-dimensional nonlinear triharmonic equations-
dc.affiliationMohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India-
dc.affiliationJain, 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-
dc.affiliationMishra, B.N., Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar-751 004, India, Department of Mathematics, Rajasunakhala College, Nayagarh, Orissa, 752 065, India-
dc.description.correspondingauthorMohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110 007, India; email:
Appears in Collections:Journal Publications [HY]

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