A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace’s equation with integral boundary condition

Abstract A new constructive method for the finite-difference solution of the Laplace equation with the integral boundary condition is proposed and justified. In this method, the approximate solution of the given problem is defined as a sequence of 9-point solutions of the local Dirichlet problems. I...

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Bibliographic Details
Main Authors: Adiguzel Dosiyev, Rifat Reis
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2282-2