CONSTRUCTING TWO-DIMENSIONAL MULTI-WAVELET FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS

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RABBANI M.

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Journal Paper

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Journal: Journal of Operational Research in its Applications Year:2011 | Volume:7 | Issue:4 (27) Page(s): 45-54

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Information Journal Paper

Title

CONSTRUCTING TWO-DIMENSIONAL MULTI-WAVELET FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS

Author(s)

RABBANI M. | Issue Writer Certificate

Keywords

TWO-DIMENSIONAL

MULTI-WAVELET

INTEGRAL EQUATIONS

GALERKIN

CHEBYSHEV

Abstract

In this paper, a TWO-DIMENSIONAL MULTI-WAVELET is constructed in terms of CHEBYSHEV polynomials. The constructed MULTI-WAVELET is an orthonormal basis for L2 [0,1]2 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 L2 [0, 1]2 by using twodimensional 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 twodimensional 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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APA: Copy

RABBANI, M.. (2011). CONSTRUCTING TWO-DIMENSIONAL MULTI-WAVELET FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 7(4 (27)), 45-54. SID. https://sid.ir/paper/585212/en

Vancouver: Copy

RABBANI M.. CONSTRUCTING TWO-DIMENSIONAL MULTI-WAVELET FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2011;7(4 (27)):45-54. Available from: https://sid.ir/paper/585212/en

IEEE: Copy

M. RABBANI, “CONSTRUCTING TWO-DIMENSIONAL MULTI-WAVELET FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 7, no. 4 (27), pp. 45–54, 2011, [Online]. Available: https://sid.ir/paper/585212/en

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