Fundamental sciences
Method of approximation of the boundary conditions for solving the Dirichlet problem for Poisson's equation
Keywords
dirichlet problem
poisson’s equation
differential problem
nonorthogonal pattern
iterative methods
Abstract
By means of the finite difference method in case with the Dirichlet problem for non-orthogonal patterns the difference scheme of fourth order of approximation is constructed. The approximation in the boundary nodes of a rectangular area is obtained by means of Newton's interpolation method. The system of linear algebraic equations can be solved by different iterative methods.
How to Cite
[1]
“Method of approximation of the boundary conditions for solving the Dirichlet problem for Poisson’s equation”, Вісник ВПІ, no. 3, pp. 245–249, Nov. 2010, Accessed: Oct. 03, 2026. Available: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/1466
