Numerical solution of the burgers equation
This is a chapter on numerical solutions of the Burgers equation given by Ut + eUUx - ? Uxx = 0, a = x = b. The Burgers equation is a nonlinear partial di?erential equations which combines the e?ect of nonlinearity (eUUx) and dissipation (? Uxx). Even though there is an analytical solution for the B...
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| Format: | Book Section |
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Penerbit UTM
2007
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| author | Ong, Chee Tiong Chew, Yee Ming Tay, Kim Gaik |
| author_facet | Ong, Chee Tiong Chew, Yee Ming Tay, Kim Gaik |
| author_sort | Ong, Chee Tiong |
| collection | ePrints |
| description | This is a chapter on numerical solutions of the Burgers equation given by Ut + eUUx - ? Uxx = 0, a = x = b. The Burgers equation is a nonlinear partial di?erential equations which combines the e?ect of nonlinearity (eUUx) and dissipation (? Uxx). Even though there is an analytical solution for the Burgers equation, we certainly look for other alternative to solve the Burgers equation. The semi-implicit pseudo-spectral method is used to develop a numerical scheme to solve the Burgers equation with Gaussian type initial condition. The numerical simulation is carried out using a numerical solver (FORSO) and shown to be consistent with previous studies |
| first_indexed | 2024-03-05T18:26:23Z |
| format | Book Section |
| id | utm.eprints-13677 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:26:23Z |
| publishDate | 2007 |
| publisher | Penerbit UTM |
| record_format | dspace |
| spelling | utm.eprints-136772017-10-08T01:14:16Z http://eprints.utm.my/13677/ Numerical solution of the burgers equation Ong, Chee Tiong Chew, Yee Ming Tay, Kim Gaik Q Science (General) This is a chapter on numerical solutions of the Burgers equation given by Ut + eUUx - ? Uxx = 0, a = x = b. The Burgers equation is a nonlinear partial di?erential equations which combines the e?ect of nonlinearity (eUUx) and dissipation (? Uxx). Even though there is an analytical solution for the Burgers equation, we certainly look for other alternative to solve the Burgers equation. The semi-implicit pseudo-spectral method is used to develop a numerical scheme to solve the Burgers equation with Gaussian type initial condition. The numerical simulation is carried out using a numerical solver (FORSO) and shown to be consistent with previous studies Penerbit UTM 2007 Book Section PeerReviewed Ong, Chee Tiong and Chew, Yee Ming and Tay, Kim Gaik (2007) Numerical solution of the burgers equation. In: Recent Advances in Theoretical and Numerical Methods. Penerbit UTM , Johor, pp. 121-128. ISBN 978-983-52-0610-8 |
| spellingShingle | Q Science (General) Ong, Chee Tiong Chew, Yee Ming Tay, Kim Gaik Numerical solution of the burgers equation |
| title | Numerical solution of the burgers equation |
| title_full | Numerical solution of the burgers equation |
| title_fullStr | Numerical solution of the burgers equation |
| title_full_unstemmed | Numerical solution of the burgers equation |
| title_short | Numerical solution of the burgers equation |
| title_sort | numerical solution of the burgers equation |
| topic | Q Science (General) |
| work_keys_str_mv | AT ongcheetiong numericalsolutionoftheburgersequation AT chewyeeming numericalsolutionoftheburgersequation AT taykimgaik numericalsolutionoftheburgersequation |