A fourth-order compact finite difference scheme for the Goursat problem
A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approxi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf |
| _version_ | 1848811003956953088 |
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| author | Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, |
| author_facet | Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, |
| author_sort | Mohd Agos Salim Nasir, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approximate the derivative terms by involving the higher terms and reducing the number of grid points. The compact finite difference scheme is given for general form of the Goursat problem in uniform domain and illustrates the performance by applying a linear problem. Numerical experiments have been conducted with the new scheme and encouraging results have been obtained. In this paper we present the compact finite difference scheme for the Goursat problem. With the aid of computational software the scheme was programmed for determining the relative errors of linear Goursat problem. |
| first_indexed | 2025-11-14T23:39:30Z |
| format | Article |
| id | oai:generic.eprints.org:5977 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:39:30Z |
| publishDate | 2013 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:59772016-12-14T06:40:00Z http://journalarticle.ukm.my/5977/ A fourth-order compact finite difference scheme for the Goursat problem Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approximate the derivative terms by involving the higher terms and reducing the number of grid points. The compact finite difference scheme is given for general form of the Goursat problem in uniform domain and illustrates the performance by applying a linear problem. Numerical experiments have been conducted with the new scheme and encouraging results have been obtained. In this paper we present the compact finite difference scheme for the Goursat problem. With the aid of computational software the scheme was programmed for determining the relative errors of linear Goursat problem. Universiti Kebangsaan Malaysia 2013-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf Mohd Agos Salim Nasir, and Ahmad Izani Md Ismail, (2013) A fourth-order compact finite difference scheme for the Goursat problem. Sains Malaysiana, 42 (3). 341 -346. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, A fourth-order compact finite difference scheme for the Goursat problem |
| title | A fourth-order compact finite difference scheme for the Goursat problem |
| title_full | A fourth-order compact finite difference scheme for the Goursat problem |
| title_fullStr | A fourth-order compact finite difference scheme for the Goursat problem |
| title_full_unstemmed | A fourth-order compact finite difference scheme for the Goursat problem |
| title_short | A fourth-order compact finite difference scheme for the Goursat problem |
| title_sort | fourth-order compact finite difference scheme for the goursat problem |
| url | http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf |