B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations
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 comparativel...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2004-06-01
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| Series: | مجلة بغداد للعلوم |
| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/571 |
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| Summary: | 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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| ISSN: | 2078-8665 2411-7986 |