Quintic Spline functions and Fredholm integral equation

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MALEKNEJAD KHOSROW; RASHIDINIA JALIL; JALILIAN HAMED

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:1 Page(s): 211-224

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Title

Quintic Spline functions and Fredholm integral equation

Author(s)

MALEKNEJAD KHOSROW | RASHIDINIA JALIL | JALILIAN HAMED | Issue Writer Certificate

Keywords

Fredholm integral equation

Quintic spline function (QSF)

Abstract

A new six order method developed for the approximation Fredholm integral equation of the second kind. This method is based on the quintic spline functions (QSF). In our approach, we , rst formulate the Quintic polynomial spline then the solution of integral equation approximated by this spline. But we need to develop the end conditions which can be associated with the quntic spline. To avoid the reduction accuracy, we formulate the end condition in such a way to obtain the band matrix and also to obtain the same order of accuracy. The convergence of the method is discussed by using matrix algebra. Finally, four test problems have been used for numerical illustration to demonstrate the practical ability of the new method.

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APA: Copy

MALEKNEJAD, KHOSROW, RASHIDINIA, JALIL, & JALILIAN, HAMED. (2021). Quintic Spline functions and Fredholm integral equation. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(1), 211-224. SID. https://sid.ir/paper/1057982/en

Vancouver: Copy

MALEKNEJAD KHOSROW, RASHIDINIA JALIL, JALILIAN HAMED. Quintic Spline functions and Fredholm integral equation. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(1):211-224. Available from: https://sid.ir/paper/1057982/en

IEEE: Copy

KHOSROW MALEKNEJAD, JALIL RASHIDINIA, and HAMED JALILIAN, “Quintic Spline functions and Fredholm integral equation,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 1, pp. 211–224, 2021, [Online]. Available: https://sid.ir/paper/1057982/en

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