Note on the solution of transport equation by Tau method and Walsh functions
We consider the combined Walsh function for the three-dimensional case. A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials are considered. We also present Tau method, and it was proved...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/15839/1/15839.pdf |
| _version_ | 1825945699244572672 |
|---|---|
| author | Kadem, Abdelouahab Kilicman, Adem |
| author_facet | Kadem, Abdelouahab Kilicman, Adem |
| author_sort | Kadem, Abdelouahab |
| collection | UPM |
| description | We consider the combined Walsh function for the three-dimensional case. A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials are considered. We also present Tau method, and it was proved that it is a good approximate to exact solutions. This method is based on expansion of the angular flux in a truncated series of Walsh function in the angular variable. The main characteristic of this technique is that it reduces the problems to those of solving a system of algebraic equations; thus, it is greatly simplifying the problem. |
| first_indexed | 2024-03-06T07:35:32Z |
| format | Article |
| id | upm.eprints-15839 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:35:32Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-158392017-10-20T03:10:45Z http://psasir.upm.edu.my/id/eprint/15839/ Note on the solution of transport equation by Tau method and Walsh functions Kadem, Abdelouahab Kilicman, Adem We consider the combined Walsh function for the three-dimensional case. A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials are considered. We also present Tau method, and it was proved that it is a good approximate to exact solutions. This method is based on expansion of the angular flux in a truncated series of Walsh function in the angular variable. The main characteristic of this technique is that it reduces the problems to those of solving a system of algebraic equations; thus, it is greatly simplifying the problem. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15839/1/15839.pdf Kadem, Abdelouahab and Kilicman, Adem (2010) Note on the solution of transport equation by Tau method and Walsh functions. Abstract and Applied Analysis, 2010. art. no. 704168. pp. 1-13. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2010/704168/abs/ 10.1155/2010/704168 |
| spellingShingle | Kadem, Abdelouahab Kilicman, Adem Note on the solution of transport equation by Tau method and Walsh functions |
| title | Note on the solution of transport equation by Tau method and Walsh functions |
| title_full | Note on the solution of transport equation by Tau method and Walsh functions |
| title_fullStr | Note on the solution of transport equation by Tau method and Walsh functions |
| title_full_unstemmed | Note on the solution of transport equation by Tau method and Walsh functions |
| title_short | Note on the solution of transport equation by Tau method and Walsh functions |
| title_sort | note on the solution of transport equation by tau method and walsh functions |
| url | http://psasir.upm.edu.my/id/eprint/15839/1/15839.pdf |
| work_keys_str_mv | AT kademabdelouahab noteonthesolutionoftransportequationbytaumethodandwalshfunctions AT kilicmanadem noteonthesolutionoftransportequationbytaumethodandwalshfunctions |