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Davitashvili, Tinatin Meladze, Hamlet Criado-Aldeanueva, Francisco Sánchez-Sáez, José María 2024-05-02T11:09:44Z 2024-05-02T11:09:44Z 2022-04-28 Tinatin Davitashvili, Hamlet Meladze, Francisco Criado-Aldeanueva, Jose Maria Sanchez, "On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area", Journal of Mathematics, vol. 2022, Article ID 2787606, 13 pages, 2022. https://doi.org/10.1155/2022/2787606 https://hdl.handle.net/10630/31192 10.1155/2022/2787606 Nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated.  The method of separation of variables is used to find the solution of a stated problem in the case of Poisson’s equation.  Then, the more general problem with nonlocal multipoint contact conditions for elliptic equation with variable coefficients is considered, and the iterative method to solve the problem numerically is constructed and investigated.  The uniqueness and existence of the regular solution are proved.  The iterative method allows reducing the solution of a nonlocal contact problem to the solution of a sequence of classical boundary value problems. eng http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 Internacional Ecuaciones diferenciales elípticas Problemas de contorno Métodos iterativos (Matemáticas) On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area. journal article