RT Journal Article
T1 On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area.
A1 Davitashvili, Tinatin
A1 Meladze, Hamlet
A1 Criado-Aldeanueva, Francisco
A1 Sánchez-Sáez, José María
K1 Ecuaciones diferenciales elípticas
K1 Problemas de contorno
K1 Métodos iterativos (Matemáticas)
AB Nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated.  The method of separation ofvariables is used to find the solution of a stated problem in the case of Poisson’s equation.  Then, the more general problem withnonlocal multipoint contact conditions for elliptic equation with variable coefficients is considered, and the iterative method tosolve 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.
PB Hindawi
YR 2022
FD 2022-04-28
LK https://hdl.handle.net/10630/31192
UL https://hdl.handle.net/10630/31192
LA eng
NO 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
NO CC BY
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026