B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations

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Omar M. AL-Faour

Abstract

Algorithms using the second order of B -splines [B (x)] and the third order of B -splines [B,3(x)] are derived to solve 1' , 2nd and 3rd linear Fredholm integro-differential equations (F1DEs). These new procedures have all the useful properties of B -spline function and can be used comparatively greater computational ease and efficiency.The results of these algorithms are compared with the cubic spline function.Two numerical examples are given for conciliated the results of this method.

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B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations . Baghdad Sci.J [Internet]. 2021 Mar. 8 [cited 2024 Mar. 28];1(2):340-6. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/571
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How to Cite

1.
B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations . Baghdad Sci.J [Internet]. 2021 Mar. 8 [cited 2024 Mar. 28];1(2):340-6. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/571