HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS

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ALMASIEH H.; NAZARI MELEH J.

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2013 | Volume:7 | Issue:3 (S.N. 18) Page(s): 29-38

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Information Journal Paper

Title

HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS

Author(s)

ALMASIEH H. | NAZARI MELEH J. | Issue Writer Certificate

Keywords

NONLINEAR FREDHOLM INTEGRAL EQUATIONS

COLLOCATION METHOD

HYBRID OF RADIAL BASIS FUNCTIONS

LEGENDRE POLYNOMIALS

Abstract

A numerical technique based on HYBRID OF RADIAL BASIS FUNCTIONS including Guassians (GAs) and Multiquadrics (MQs) is proposed to obtain the solution of NONLINEAR FREDHOLM INTEGRAL EQUATIONS. Zeros of the shifted LEGENDRE POLYNOMIALS are used as the collocation points. The integral involved in the formulation of the problems are approximated based on Legendre-Gauss-Lobatto integration rule. Some numerical examples illustrate the accuracy and validity of the proposed method.

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APA: Copy

ALMASIEH, H., & NAZARI MELEH, J.. (2013). HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION, 7(3 (S.N. 18)), 29-38. SID. https://sid.ir/paper/622766/en

Vancouver: Copy

ALMASIEH H., NAZARI MELEH J.. HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2013;7(3 (S.N. 18)):29-38. Available from: https://sid.ir/paper/622766/en

IEEE: Copy

H. ALMASIEH, and J. NAZARI MELEH, “HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 7, no. 3 (S.N. 18), pp. 29–38, 2013, [Online]. Available: https://sid.ir/paper/622766/en

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