Explicit finite Difference Schemes using Ghost points for the heat equation with insulated ends Explicit finite Difierence Schemes using Ghost points for the heat equation with insulated ends
| dc.contributor.advisor | Abdi Tadesse (PhD) | |
| dc.contributor.author | Tezera Tesfu | |
| dc.date.accessioned | 2018-07-19T06:24:42Z | |
| dc.date.accessioned | 2023-11-04T12:30:43Z | |
| dc.date.available | 2018-07-19T06:24:42Z | |
| dc.date.available | 2023-11-04T12:30:43Z | |
| dc.date.issued | 2015-06 | |
| dc.description.abstract | In this project report, explicit ffnite di_erence scheme for the linear heat equation in an insulated bar in one space dimension is considered. This method is used to solve the partial derivatives in the partial di_erential equations at each grid point that are derived from neighboring values by using Taylors theorem . The forward - time centered - space(FTCS) and explicit schemes are developed. To find the boundary equations of the schemes ghost points are introduced in central di_erence approximation . The MATLAB implementation allow the readers to experiment with the stability limit of the forward time , centered space(FTCS)schemes key words- finite diference, explicit scheme, heat equation in an insulated bar , Ghost point | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9312 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | finite difference | en_US |
| dc.subject | explicit scheme | en_US |
| dc.subject | Heat equation in an insulated bar | en_US |
| dc.subject | Ghost point | en_US |
| dc.title | Explicit finite Difference Schemes using Ghost points for the heat equation with insulated ends Explicit finite Difierence Schemes using Ghost points for the heat equation with insulated ends | en_US |
| dc.type | Thesis | en_US |