CHEBYSHEV CARDINAL FUNCTIONS FOR SOLVING VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRICES

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HEYDARI M.; AVAZZADEH Z.; LOGHMANI G.B.

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Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2012 | Volume:36 | Issue:A1 Page(s): 13-24

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Information Journal Paper

Title

CHEBYSHEV CARDINAL FUNCTIONS FOR SOLVING VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRICES

Author(s)

HEYDARI M. | AVAZZADEH Z. | LOGHMANI G.B. | Issue Writer Certificate

Keywords

INTEGRO-DIFFERENTIAL EQUATIONQ3

MIXED VOLTERRA-FREDHOLM INTEGRAL EQUATIONSQ3

CHEBYSHEV CARDINAL FUNCTIONSQ3

OPERATIONAL MATRIX OF INTEGRATIONQ3

Abstract

In this paper, an effective direct method to determine the numerical solution of linear and nonlinear Fredholm and Volterra integral and INTEGRO-DIFFERENTIAL EQUATIONs is proposed. The method is based on expanding the required approximate solution as the elements of CHEBYSHEV CARDINAL FUNCTIONS. The operational matrices for the integration and product of the CHEBYSHEV CARDINAL FUNCTIONS are described in detail. These matrices play the important role of reducing an integral equation to a system of algebraic equations. Illustrative examples are shown, which confirms the validity and applicability of the presented technique.

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APA: Copy

HEYDARI, M., AVAZZADEH, Z., & LOGHMANI, G.B.. (2012). CHEBYSHEV CARDINAL FUNCTIONS FOR SOLVING VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRICES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 36(A1), 13-24. SID. https://sid.ir/paper/118008/en

Vancouver: Copy

HEYDARI M., AVAZZADEH Z., LOGHMANI G.B.. CHEBYSHEV CARDINAL FUNCTIONS FOR SOLVING VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRICES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2012;36(A1):13-24. Available from: https://sid.ir/paper/118008/en

IEEE: Copy

M. HEYDARI, Z. AVAZZADEH, and G.B. LOGHMANI, “CHEBYSHEV CARDINAL FUNCTIONS FOR SOLVING VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRICES,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 36, no. A1, pp. 13–24, 2012, [Online]. Available: https://sid.ir/paper/118008/en

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