The Numerical Solution of the External Dirichlet Generalized Harmonic Problem for a Sphere by the Method of Probabilistic Solution

M Zakradze, Z Tabagari, N Koblishvili, T Davitashvili… - Mathematics, 2023 - mdpi.com
In the present paper, an algorithm for the numerical solution of the external Dirichlet
generalized harmonic problem for a sphere by the method of probabilistic solution (MPS) is …

[PDF][PDF] On numerical solving the Dirichlet generalized harmonic problem for regular n-sided pyramidal domains by the probabilistic method

M Zakradze, M Kublashvili, Z Tabagari… - Trans. A. Razmadze …, 2022 - rmi.tsu.ge
In this paper, we describe how the probabilistic method (PM) can be applied to numerical
solving the Dirichlet generalized harmonic problem in regular n-sided pyramidal domains …

[PDF][PDF] Computer Modelling of a Probabilistic Solution for the Dirichlet Generalized Harmonic Problem in Some Finite Axisymmetric Bodies with a Cylindrical Hole.

M Zakradze, Z Tabagari, Z Sanikidze… - Bulletin of Tbilisi …, 2022 - emis.de
In this paper, we investigate the application of the probabilistic method (PM) for the
numerical solution of the Dirichlet generalized harmonic problem in axisymmetric finite …

[PDF][PDF] A method of conformal mapping for solving the generalized Dirichlet problem of Laplace's equation

M Kublashvili, Z Sanikidze… - Proc. A. Razmadze Math …, 2012 - institutes.gtu.ge
In this paper we investigate the question how the method of conformal mapping (MCM) can
be applied for approximate solving of the generalized Dirichlet boundary problem for …

[HTML][HTML] The method of probabilistic solution for 3D Dirichlet ordinary and generalized harmonic problems in finite domains bounded with one surface

M Zakradze, B Mamporia, M Kublashvili… - Transactions of A …, 2018 - Elsevier
The Dirichlet ordinary and generalized harmonic problems for some 3D finite domains are
considered. The term “generalized” indicates that a boundary function has a finite number of …

[HTML][HTML] Investigation and numerical solution of some 3D internal Dirichlet generalized harmonic problems in finite domains

M Zakradze, M Kublashvili, Z Sanikidze… - Transactions of A …, 2017 - Elsevier
A Dirichlet generalized harmonic problem for finite right circular cylindrical domains is
considered. The term “generalized” indicates that a boundary function has a finite number of …

[PDF][PDF] On solving the Dirichlet generalized problem for harmonic function by the method of fundamental solutions

M Zakradze, N Koblishvili, A Karageorghis… - Semin. I. Vekua Inst …, 2008 - institutes.gtu.ge
The Dirichlet generalized problem for the Laplace equation in the case of a finite m-
connected domain D which lies in the plane z= x+ iy is considered. Under the Dirichlet …

[PDF][PDF] The method of probabilistic solution for determination of electric and thermal stationary fields in conic and prismatic domains

M Zakradze, M Kublashvili, N Koblishvili… - Trans. A. Razmadze …, 2020 - rmi.tsu.ge
In this paper, for determination of the electric and thermal stationary fields the Dirichlet
ordinary and generalized harmonic problems are considered. The term “generalized” …

[PDF][PDF] On solving the Dirichlet generalized problem for a harmonic function in the case of an infinite plane with a crack-type cut

N Koblishvili, M Kublashvili, Z Sanikidze… - Proc. A. Razmadze Math …, 2015 - rmi.tsu.ge
An algorithm for the approximate solution of the Dirichlet generalized problem is proposed.
The term “generalized” indicates that the boundary function has a finite number of first kind …

[PDF][PDF] On solving the Dirichlet generalized problem for a harmonic function in the case of infinite plane with holes

N Koblishvili, M Zakradze - Proc. A. Razmadze Math. Inst, 2014 - rmi.tsu.ge
An algorithm for an approximate solution of definite type Dirichlet generalized problem is
given. It consists of the following stages: 1) reduction of the Dirichlet generalized problem to …