TWO-DIMENSIONAL WAVELETS FOR NUMERICAL SOLUTION OF INTEGRAL EQUATIONS

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DERILI HESAM ALDIEN; SOHRABI SAEED; ARZHANG ASGHAR

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-4

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Title

TWO-DIMENSIONAL WAVELETS FOR NUMERICAL SOLUTION OF INTEGRAL EQUATIONS

Author(s)

DERILI HESAM ALDIEN | SOHRABI SAEED | ARZHANG ASGHAR | Issue Writer Certificate

Keywords

TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS

TWO-DIMENSIONAL HAAR WAVELETS

LINEAR SYSTEMS

Abstract

Purpose: In this paper, we shall investigate the numerical solution of TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS (2D-FIEs).Methods: In this work, we apply TWO-DIMENSIONAL HAAR WAVELETS, to solve linear two dimensional Fredholm integral equations (2D-FIEs). Using 2D Haar wavelets and their properties, 2D-FIEs of the second kind reduce to a system of algebraic equations.Results: The numerical examples illustrate the efficiency and accuracy of the method.Conclusions: In comparison with other bases (for example, polynomial bases), one of the advantages of this method is, although the involved matrices have a large dimension, they contain a large percentage of zero entries, which keeps computational effort within reasonable limits.

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APA: Copy

DERILI, HESAM ALDIEN, SOHRABI, SAEED, & ARZHANG, ASGHAR. (2012). TWO-DIMENSIONAL WAVELETS FOR NUMERICAL SOLUTION OF INTEGRAL EQUATIONS. MATHEMATICAL SCIENCES, 6(-), 1-4. SID. https://sid.ir/paper/322569/en

Vancouver: Copy

DERILI HESAM ALDIEN, SOHRABI SAEED, ARZHANG ASGHAR. TWO-DIMENSIONAL WAVELETS FOR NUMERICAL SOLUTION OF INTEGRAL EQUATIONS. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-4. Available from: https://sid.ir/paper/322569/en

IEEE: Copy

HESAM ALDIEN DERILI, SAEED SOHRABI, and ASGHAR ARZHANG, “TWO-DIMENSIONAL WAVELETS FOR NUMERICAL SOLUTION OF INTEGRAL EQUATIONS,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–4, 2012, [Online]. Available: https://sid.ir/paper/322569/en

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