TY - JOUR A2 - Covachev, Valery AU - Ashyralyev, Allaberen AU - Ozturk, Elif PY - 2012 DA - 2012/08/01 TI - The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition SP - 730804 VL - 2012 AB - We are interested in studying the stable difference schemes for the numerical solution ofthe nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemesare presented. A procedure of modified Gauss elimination method is used for solving thesedifference schemes for the two-dimensional elliptic differential equation. The method isillustrated by numerical examples. SN - 1085-3375 UR - https://doi.org/10.1155/2012/730804 DO - 10.1155/2012/730804 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -