The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition
We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemes are presented. A procedure of modi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/730804 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552400283500544 |
|---|---|
| author | Allaberen Ashyralyev Elif Ozturk |
| author_facet | Allaberen Ashyralyev Elif Ozturk |
| author_sort | Allaberen Ashyralyev |
| collection | DOAJ |
| description | We are interested in studying the stable difference schemes for the numerical solution of
the nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemes
are presented. A procedure of modified Gauss elimination method is used for solving these
difference schemes for the two-dimensional elliptic differential equation. The method is
illustrated by numerical examples. |
| format | Article |
| id | doaj-art-e04a718e8f634eed8451cf99da589c19 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e04a718e8f634eed8451cf99da589c192025-02-03T05:58:52ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/730804730804The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann ConditionAllaberen Ashyralyev0Elif Ozturk1Department of Mathematics, Fatih University, 34500 Istanbul, TurkeyDepartment of Mathematics, Uludag University, 16059 Bursa, TurkeyWe are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemes are presented. A procedure of modified Gauss elimination method is used for solving these difference schemes for the two-dimensional elliptic differential equation. The method is illustrated by numerical examples.http://dx.doi.org/10.1155/2012/730804 |
| spellingShingle | Allaberen Ashyralyev Elif Ozturk The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition Abstract and Applied Analysis |
| title | The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition |
| title_full | The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition |
| title_fullStr | The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition |
| title_full_unstemmed | The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition |
| title_short | The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition |
| title_sort | numerical solution of the bitsadze samarskii nonlocal boundary value problems with the dirichlet neumann condition |
| url | http://dx.doi.org/10.1155/2012/730804 |
| work_keys_str_mv | AT allaberenashyralyev thenumericalsolutionofthebitsadzesamarskiinonlocalboundaryvalueproblemswiththedirichletneumanncondition AT elifozturk thenumericalsolutionofthebitsadzesamarskiinonlocalboundaryvalueproblemswiththedirichletneumanncondition AT allaberenashyralyev numericalsolutionofthebitsadzesamarskiinonlocalboundaryvalueproblemswiththedirichletneumanncondition AT elifozturk numericalsolutionofthebitsadzesamarskiinonlocalboundaryvalueproblemswiththedirichletneumanncondition |