دوره 7، شماره 4 - ( 10-1389 )
جلد 7 شماره 4 صفحات 54-45 |
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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-fa.html
URL: http://jamlu.liau.ac.ir/article-1-182-fa.html
Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations. تحقیق در عملیات در کاربردهای آن. 1389; 7 (4) :45-54
چکیده: (6981 مشاهده)
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.
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