@misc{Bondarenko_Victor_Solving,
 author={Bondarenko, Victor and Bidyuk, Petro and Bernatska, Julia},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={The paper describes an approach to solving parabolic partial differential equations that generalizes the well-known parametrix method. The iteration technique proposed exhibits faster convergence than the classical parametrix approach. A solution is constructed on a manifold with the application of the Laplace-Beltrami operator. A theorem is formulated and proved to provide a basis for finding a unique solution. Simulation results illustrate the superiority of the proposed approach in comparison with the classical parametrix method.},
 title={Solving parabolic equations by using the method of fast convergent iterations},
 type={artykuł},
 keywords={parabolic equations, fundamental solution, Riemannian manifold, rate of convergence, iteration technique, numerical simulation},
}