RADIAL BASIS FUNCTIONS METHOD FOR SOLVING THREE-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS ON THE CUBIC DOMAINS

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ESMAEILBEIGI M.; MIRZAEE F.; MOAZAMI D.

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Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2017 | Volume:7 | Issue:2 Page(s): 15-37

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Information Journal Paper

Title

RADIAL BASIS FUNCTIONS METHOD FOR SOLVING THREE-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS ON THE CUBIC DOMAINS

Author(s)

ESMAEILBEIGI M. | MIRZAEE F. | MOAZAMI D. | Issue Writer Certificate

Keywords

THREE-DIMENSIONAL INTEGRAL EQUATIONQ1

RADIAL BASIS FUNCTIONSQ2

COLLOCATION METHODQ1

CUBIC DOMAINSQ1

Abstract

The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the CUBIC DOMAINS. The method is based on interpolation by RADIAL BASIS FUNCTIONS (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.

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APA: Copy

ESMAEILBEIGI, M., MIRZAEE, F., & MOAZAMI, D.. (2017). RADIAL BASIS FUNCTIONS METHOD FOR SOLVING THREE-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS ON THE CUBIC DOMAINS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 7(2), 15-37. SID. https://sid.ir/paper/260821/en

Vancouver: Copy

ESMAEILBEIGI M., MIRZAEE F., MOAZAMI D.. RADIAL BASIS FUNCTIONS METHOD FOR SOLVING THREE-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS ON THE CUBIC DOMAINS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2017;7(2):15-37. Available from: https://sid.ir/paper/260821/en

IEEE: Copy

M. ESMAEILBEIGI, F. MIRZAEE, and D. MOAZAMI, “RADIAL BASIS FUNCTIONS METHOD FOR SOLVING THREE-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS ON THE CUBIC DOMAINS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 7, no. 2, pp. 15–37, 2017, [Online]. Available: https://sid.ir/paper/260821/en

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