Volume 7, Issue 4 (1-2011)
jor 2011, 7(4): 45-54 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations. jor 2011; 7 (4) :45-54
URL: http://jamlu.liau.ac.ir/article-1-182-en.html
URL: http://jamlu.liau.ac.ir/article-1-182-en.html
Abstract: (6482 Views)
In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subspaces are orthonormal, so the above mentioned system has a small dimension and also high accuracy in approximating solution of integral equations. For one-dimensional case, a similar works are done in [4, 5], which they have small dimension and high accuracy. In this article, we extend one-dimensional case to two-dimensional by extending and by choosing good functions on two axes. Numerical results show that the above mentioned method has a good accuracy.
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
