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https://dspace.ctu.edu.vn/jspui/handle/123456789/95897
Title: | Numerical method for solving the dirichlet boundary value problem for nonlinear triharmonic equation |
Authors: | Dang, Quang A Nguyen, Quoc Hung Vu, Vinh Quang |
Keywords: | Nonlinear triharmonic equation Dirichlet boundary value problem Iterative method Fourth order convergence |
Issue Date: | 2022 |
Series/Report no.: | Journal of Computer Science and Cybernetics;Vol.38, No.02 .- P.181-191 |
Abstract: | Due to the reduction of the problem to operator equation for the pair of the right hand side function and the unknown second normal derivative of the function to be sought, we design an iterative method at both continuous and discrete levels for numerical solution of the problem. Some examples demonstrate that the numerical method is of fourth order convergence. When the right hand side function does not depend on the unknown function and its derivatives, the numerical method gives more accurate results in comparison with the results obtained by the interior method of Gudi and Neilan. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/95897 |
ISSN: | 1813-9663 |
Appears in Collections: | Tin học và Điều khiển học (Journal of Computer Science and Cybernetics) |
Files in This Item:
File | Description | Size | Format | |
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_file_ Restricted Access | 3.38 MB | Adobe PDF | ||
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