NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION BY USING CHEBYSHEV POLYNOMIALS

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EZZATI R.; NAJAFALIZADEH S.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:1 Page(s): 1-12

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Title

NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION BY USING CHEBYSHEV POLYNOMIALS

Author(s)

EZZATI R. | NAJAFALIZADEH S. | Issue Writer Certificate

Keywords

LINEAR AND NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION

CHEBYSHEV POLYNOMIALS

OPERATIONAL MATRIX

Abstract

In this paper, we have used CHEBYSHEV POLYNOMIALS to solve LINEAR AND NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONs, numerically. First we introduce these polynomials, then we use them to change the Volterra-Fredholm integral equation to a linear or nonlinear system. Finally, the numerical examples illustrate the effi ciency of this method.

Cites

NUMERICAL SOLUTION OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS WITH THE HELP OF INVERSE AND DIRECT DISCRETE FUZZY TRANSFORMS AND COLLOCATION TECHNIQUE

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APA: Copy

EZZATI, R., & NAJAFALIZADEH, S.. (2011). NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION BY USING CHEBYSHEV POLYNOMIALS. MATHEMATICAL SCIENCES, 5(1), 1-12. SID. https://sid.ir/paper/322530/en

Vancouver: Copy

EZZATI R., NAJAFALIZADEH S.. NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION BY USING CHEBYSHEV POLYNOMIALS. MATHEMATICAL SCIENCES[Internet]. 2011;5(1):1-12. Available from: https://sid.ir/paper/322530/en

IEEE: Copy

R. EZZATI, and S. NAJAFALIZADEH, “NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION BY USING CHEBYSHEV POLYNOMIALS,” MATHEMATICAL SCIENCES, vol. 5, no. 1, pp. 1–12, 2011, [Online]. Available: https://sid.ir/paper/322530/en

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