A DIRECT METHOD TO SOLVE LINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING A FAMILY OF OPERATIONAL MATRICES WITH BLOCK-PULSE FUNCTIONS

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BAZM S.; BABOLIAN E.

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Paper Information

Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2011 | Volume:11 | Issue:2 Page(s): 161-182

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Title

A DIRECT METHOD TO SOLVE LINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING A FAMILY OF OPERATIONAL MATRICES WITH BLOCK-PULSE FUNCTIONS

Author(s)

BAZM S. | BABOLIAN E. | Issue Writer Certificate

Keywords

TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONSQ2

TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONSQ2

DIRECT METHODQ3

BLOCK-PULSE FUNCTIONSQ2

OPERATIONAL MATRIXQ2

Abstract

An expansion method based on BLOCK-PULSE FUNCTIONS is developed to find the numerical solution of two-dimensional linear Volterra and Fredholm integral equations of the first and second kind. The present work is based on introducing a family of operational matrices of integration. Error analysis is worked out that shows efficiency and accuracy of the proposed method. Also, some numerical examples are presented.

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APA: Copy

BAZM, S., & BABOLIAN, E.. (2011). A DIRECT METHOD TO SOLVE LINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING A FAMILY OF OPERATIONAL MATRICES WITH BLOCK-PULSE FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 11(2), 161-182. SID. https://sid.ir/paper/43987/en

Vancouver: Copy

BAZM S., BABOLIAN E.. A DIRECT METHOD TO SOLVE LINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING A FAMILY OF OPERATIONAL MATRICES WITH BLOCK-PULSE FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2011;11(2):161-182. Available from: https://sid.ir/paper/43987/en

IEEE: Copy

S. BAZM, and E. BABOLIAN, “A DIRECT METHOD TO SOLVE LINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING A FAMILY OF OPERATIONAL MATRICES WITH BLOCK-PULSE FUNCTIONS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 11, no. 2, pp. 161–182, 2011, [Online]. Available: https://sid.ir/paper/43987/en

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