SPLINE COLLOCATION FOR FREDHOLM INTEGRAL EQUATIONS

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RASHIDINIA J.; BABOLIAN E.; MAHMOODI Z.

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ISSN: 2588-4824

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Paper Information

Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:2 Page(s): 147-158

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Information Journal Paper

Title

SPLINE COLLOCATION FOR FREDHOLM INTEGRAL EQUATIONS

Author(s)

RASHIDINIA J. | BABOLIAN E. | MAHMOODI Z. | Issue Writer Certificate

Keywords

FREDHOLM INTEGRAL EQUATIONS

CUBIC B-SPLINE

NEWTON-COTES

COLLOCATION

CONVERGENCE ANALYSIS

REGULARIZATION

Abstract

The COLLOCATION methods based on CUBIC B-SPLINE, are developed to approximate solution of the second and first kind FREDHOLM INTEGRAL EQUATIONS. First we collocate the solution by B-spline and the NEWTON-COTES formula is used to approximate integral. CONVERGENCE ANALYSIS has been investigated and proved that the quadratur rule is fourth order convergent. The presented methods are tested to the problem, and the absolute error in the solution are compared with existing methods [1, 2, 7, 10] to verify the accuracy and convergent nature of proposed methods.

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APA: Copy

RASHIDINIA, J., BABOLIAN, E., & MAHMOODI, Z.. (2011). SPLINE COLLOCATION FOR FREDHOLM INTEGRAL EQUATIONS. MATHEMATICAL SCIENCES, 5(2), 147-158. SID. https://sid.ir/paper/322537/en

Vancouver: Copy

RASHIDINIA J., BABOLIAN E., MAHMOODI Z.. SPLINE COLLOCATION FOR FREDHOLM INTEGRAL EQUATIONS. MATHEMATICAL SCIENCES[Internet]. 2011;5(2):147-158. Available from: https://sid.ir/paper/322537/en

IEEE: Copy

J. RASHIDINIA, E. BABOLIAN, and Z. MAHMOODI, “SPLINE COLLOCATION FOR FREDHOLM INTEGRAL EQUATIONS,” MATHEMATICAL SCIENCES, vol. 5, no. 2, pp. 147–158, 2011, [Online]. Available: https://sid.ir/paper/322537/en

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