Quintic Spline functions and Fredholm integral equation

	Quintic Spline functions and Fredholm integral equation
Computational Methods for Differential Equations
مقاله 13، دوره 9، شماره 1، فروردین 2021، صفحه 211-224 اصل مقاله (145.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2019.31983.1492
نویسندگان
Khosrow Maleknejad^* ؛ Jalil Rashidinia؛ Hamed Jalilian
School of Mathematics, Iran University of Science and Technology Narmak, Tehran 16844, Iran.
چکیده
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 first 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.
کلیدواژه‌ها
Fredholm integral equation؛ Quintic spline function (QSF)

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