A PROJECTION METHOD FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING LEGENDRE HYBRID FUNCTIONS

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ROODAKI M.; JAFARIBEHBAHANI Z.

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2013 | Volume:7 | Issue:3 (S.N. 18) Page(s): 77-93

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Title

A PROJECTION METHOD FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING LEGENDRE HYBRID FUNCTIONS

Author(s)

ROODAKI M. | JAFARIBEHBAHANI Z. | Issue Writer Certificate

Keywords

HYBRID FUNCTIONS

NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

LEGENDRE POLYNOMIALS

BLOCKPULSE FUNCTIONS

FUNCTION EXPANSION

CROSS PRODUCT

COEFFICIENTS MATRIX

PROJECTION METHOD

Abstract

Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them. This method is based on the HYBRID FUNCTIONS of LEGENDRE POLYNOMIALS and block-pulse functions. By using this approach, a nonlinear Volterra-Fredholm integral equation reduces to a nonlinear system of mere algebraic equations. The convergence analysis and associated theorems are also considered. Test problems are provided to illustrate its accuracy and computational efficiency.

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APA: Copy

ROODAKI, M., & JAFARIBEHBAHANI, Z.. (2013). A PROJECTION METHOD FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING LEGENDRE HYBRID FUNCTIONS. JOURNAL OF MATHEMATICAL EXTENSION, 7(3 (S.N. 18)), 77-93. SID. https://sid.ir/paper/647928/en

Vancouver: Copy

ROODAKI M., JAFARIBEHBAHANI Z.. A PROJECTION METHOD FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING LEGENDRE HYBRID FUNCTIONS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2013;7(3 (S.N. 18)):77-93. Available from: https://sid.ir/paper/647928/en

IEEE: Copy

M. ROODAKI, and Z. JAFARIBEHBAHANI, “A PROJECTION METHOD FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING LEGENDRE HYBRID FUNCTIONS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 7, no. 3 (S.N. 18), pp. 77–93, 2013, [Online]. Available: https://sid.ir/paper/647928/en

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