A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs.
The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarte...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Hikari Ltd
2012
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf |
| _version_ | 1825925722380697600 |
|---|---|
| author | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Suleiman, Mohamed Sulaiman, Jumat |
| author_facet | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Suleiman, Mohamed Sulaiman, Jumat |
| author_sort | Md Akhir, Mohd Kamalrulzaman |
| collection | UPM |
| description | The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four point block iterative methods are given to illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-06T08:02:01Z |
| format | Article |
| id | upm.eprints-25166 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:02:01Z |
| publishDate | 2012 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | upm.eprints-251662015-10-09T08:56:35Z http://psasir.upm.edu.my/id/eprint/25166/ A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Suleiman, Mohamed Sulaiman, Jumat The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four point block iterative methods are given to illustrate the effectiveness of the proposed method. Hikari Ltd 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf Md Akhir, Mohd Kamalrulzaman and Othman, Mohamed and Suleiman, Mohamed and Sulaiman, Jumat (2012) A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. Applied Mathematical Sciences, 6 (31). pp. 1505-1524. ISSN 1312-885X http://www.m-hikari.com/ English |
| spellingShingle | Md Akhir, Mohd Kamalrulzaman Othman, Mohamed Suleiman, Mohamed Sulaiman, Jumat A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title | A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title_full | A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title_fullStr | A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title_full_unstemmed | A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title_short | A new octo modified explicit group iterative method for the solution of 2D Elliptic PDEs. |
| title_sort | new octo modified explicit group iterative method for the solution of 2d elliptic pdes |
| url | http://psasir.upm.edu.my/id/eprint/25166/1/A%20new%20octo%20modified%20explicit%20group%20iterative%20method%20for%20the%20solution%20of%202D%20Elliptic%20PDEs.pdf |
| work_keys_str_mv | AT mdakhirmohdkamalrulzaman anewoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT othmanmohamed anewoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT suleimanmohamed anewoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT sulaimanjumat anewoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT mdakhirmohdkamalrulzaman newoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT othmanmohamed newoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT suleimanmohamed newoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes AT sulaimanjumat newoctomodifiedexplicitgroupiterativemethodforthesolutionof2dellipticpdes |