AN EFFICIENT COMPUTATIONAL METHOD FOR THE SYSTEM OF LINEAR VOLTERRA INTEGRAL EQUATIONS BY MEANS OF HYBRID FUNCTIONS

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HASHEMIZADEH E.; BASIRAT B.

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:4 Page(s): 355-368

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Title

AN EFFICIENT COMPUTATIONAL METHOD FOR THE SYSTEM OF LINEAR VOLTERRA INTEGRAL EQUATIONS BY MEANS OF HYBRID FUNCTIONS

Author(s)

HASHEMIZADEH E. | BASIRAT B. | Issue Writer Certificate

Keywords

HYBRID FUNCTION

SYSTEM OF VOLTERRA INTEGRAL EQUATIONS

OPERATIONAL MATRIX OF INTEGRATION

PRODUCT OPERATIONAL MATRIX

BLOCK-PULSE FUNCTIONS

LEGENDRE POLYNOMIALS

Abstract

In this paper HYBRID FUNCTIONs which consist of BLOCK-PULSE FUNCTIONS plus Leg-endre polynomials are developed to approximate the solution of the linear Volterra integral equations system that arises in the elastodynamic problems. Properties of these HYBRID FUNCTIONs are first presented, the OPERATIONAL MATRIX OF INTEGRATION and the PRODUCT OPERATIONAL MATRIX are utilized to reduce the computation of Volterra integral equations system to some algebraic equations. Finally numerical results which we compared them with some existed method are given to showing the profit and efficiency of the proposed method.

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APA: Copy

HASHEMIZADEH, E., & BASIRAT, B.. (2011). AN EFFICIENT COMPUTATIONAL METHOD FOR THE SYSTEM OF LINEAR VOLTERRA INTEGRAL EQUATIONS BY MEANS OF HYBRID FUNCTIONS. MATHEMATICAL SCIENCES, 5(4), 355-368. SID. https://sid.ir/paper/322560/en

Vancouver: Copy

HASHEMIZADEH E., BASIRAT B.. AN EFFICIENT COMPUTATIONAL METHOD FOR THE SYSTEM OF LINEAR VOLTERRA INTEGRAL EQUATIONS BY MEANS OF HYBRID FUNCTIONS. MATHEMATICAL SCIENCES[Internet]. 2011;5(4):355-368. Available from: https://sid.ir/paper/322560/en

IEEE: Copy

E. HASHEMIZADEH, and B. BASIRAT, “AN EFFICIENT COMPUTATIONAL METHOD FOR THE SYSTEM OF LINEAR VOLTERRA INTEGRAL EQUATIONS BY MEANS OF HYBRID FUNCTIONS,” MATHEMATICAL SCIENCES, vol. 5, no. 4, pp. 355–368, 2011, [Online]. Available: https://sid.ir/paper/322560/en

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