Papers by Aleksandre Chakhvadze
In this paper, for determination of the electric and thermal stationary fields the Dirichlet ordi... more In this paper, for determination of the electric and thermal stationary fields the Dirichlet ordinary and generalized harmonic problems are considered. The term “generalized” indicates that a boundary function has a finite number of first kind discontinuity curves. For numerical solution of boundary problems the method of probabilistic solution (MPS) is applied, which in its turn is based on a modeling of the Wiener process. The suggested algorithm does not require an approximation of a boundary function, which is main of its important properties. For examining and to illustrate the effectiveness and simplicity of the proposed method four numerical examples are considered on finding the electric and thermal fields. In the role of domains are taken: finite right circular cone and truncated cone; a rectangular parallelepiped. Numerical results are presented.
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Papers by Aleksandre Chakhvadze