NUMERICAL METHOD   FOR SOLVING THE DIRICHLET BOUNDARY VALUE PROBLEM FOR NONLINEAR TRIHARMONIC EQUATION

Dang Quang A; Hung Nguyen Quoc; Quang Vu Vinh

doi:10.15625/1813-9663/38/2/16912

NUMERICAL METHOD FOR SOLVING THE DIRICHLET BOUNDARY VALUE PROBLEM FOR NONLINEAR TRIHARMONIC EQUATION

Dang Quang A, Hung Nguyen Quoc, Quang Vu Vinh

Author affiliations

Authors

Dang Quang A Centre for Informatics and Computing, VAST, Hanoi, Vietnam
Hung Nguyen Quoc Hanoi University of Science and Technology, Vietnam
Quang Vu Vinh University of Information Technology and Communication, Thai Nguyen, Vietnam

DOI:

https://doi.org/10.15625/1813-9663/38/2/16912

Keywords:

Nonlinear triharmonic equation, Dirichlet boundary value problem, Iterative method, Fourth order convergence.

Abstract

In this work, we consider the Dirichlet boundary value problem for nonlinear triharmonic equation. 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.

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Published

23-06-2022

How to Cite

[1]

D. Q. A, H. Nguyen Quoc, and Q. Vu Vinh, “NUMERICAL METHOD FOR SOLVING THE DIRICHLET BOUNDARY VALUE PROBLEM FOR NONLINEAR TRIHARMONIC EQUATION”, JCC, vol. 38, no. 2, p. 181–191, Jun. 2022.

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Issue

Vol. 38 No. 2 (2022)

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Articles

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