| dc.creator |
ZEYTİNOĞLU, Asuman |
|
| dc.creator |
Sari, Murat |
|
| dc.creator |
Gurarslan, Gurhan |
|
| dc.date |
2010-11-30T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T12:02:18Z |
|
| dc.date.available |
2020-10-06T12:02:18Z |
|
| dc.identifier |
f4589c1e-2d82-4f25-8aa6-967cd6440fa9 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/f4589c1e-2d82-4f25-8aa6-967cd6440fa9/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/76173 |
|
| dc.description |
Up to tenth-order finite difference schemes are proposed in this paper to solve one-dimensional advection-diffusion equation. The schemes based on high-order differences are presented using Taylor series expansion. To obtain the solutions, up to tenth-order finite difference schemes in space and a fourth-order Runge-Kutta scheme in time have been combined. The methods are implemented to solve two problems having exact solutions. Numerical experiments have been conducted to demonstrate the efficiency and high-order accuracy of the current methods. The techniques are seen to be very accurate in solving the advection-diffusion equation for Pe <= 5. The produced results are also seen to be more accurate than some available results given in the literature. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
HIGH-ORDER FINITE DIFFERENCE SCHEMES FOR SOLVING THE ADVECTION-DIFFUSION EQUATION |
|
| dc.type |
info:eu-repo/semantics/article |
|