- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation | ||
| Journal of Education and Science | ||
| Article 10, Volume 18, Issue 1, 2006, Pages 102-113 PDF (0 K) | ||
| DOI: 10.33899/edusj.2006.79222 | ||
| Author | ||
| Kais Ismail Ibraheem | ||
| Abstract | ||
| In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, we consider a wavelet-based algorithm using Method of Lines (MOL) analysis. The advantage is in the simplicity of the boundary modification, and relatively simple and small representing the differential operators, in contrast to other wavelet-based algorithms. The time of calculations and number of flops were reduced using Haar wavelets, and as a demonstration, an example for solving the diffusion equation. Key words: Method of Lines, partial differential equations, Haar wavelet | ||
| Keywords | ||
| Haar Wavelet; Solving Parabolic Differential Equation; wavelet-based algorithm | ||
|
Statistics Article View: 390 PDF Download: 367 |
||