Numerical method for solving the Dirichlet boundary value problem for nonlinear triharmonic equation
Numerical Analysis
2020-07-08 v1 Numerical Analysis
Abstract
In this work, we consider the Dirichlet boundary value problem for nonlinear triharmonic equation. Due to the reduction of the nonlinear boundary value problem to operator equation for the nonlinear term and the unknown second normal derivative we design an iterative method at both continuous and discrete level for numerical solution of the problem. Some examples demonstrate that the numerical method is of fourth order convergence.
Cite
@article{arxiv.2007.03475,
title = {Numerical method for solving the Dirichlet boundary value problem for nonlinear triharmonic equation},
author = {Dang Quang A and Nguyen Quoc Hung and Vu Vinh Quang},
journal= {arXiv preprint arXiv:2007.03475},
year = {2020}
}
Comments
14 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2004.00324