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Approximated Solution of Higher–Order Linear Fredholm Integro–Differential Equations by Computing of Singular Value Decomposition (SVD) | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 28, Issue 14, 2010, Pages 4722-4729 PDF (134.18 K) | ||
| DOI: 10.30684/etj.28.14.4 | ||
| Authors | ||
| Amaal A. Mohammed; Sudad K. Ibraheem | ||
| Abstract | ||
| Our main concern here is to give an approximate scheme to solve a linear Fredholm integro–differential equations of higher–order (LFIDE) using expansion method with the expansion functions as basis functions associated with weighted residual technique ( collocation method ). Computing of singular value decomposition (SVD) has been used to treat these equations approximately. For this method a program is written in matlab (ver.6.5), examples are solved, results are tabulated and comparison is made between the exact and the approximate solution depending on least squares error method. | ||
| Keywords | ||
| linear Fredholm integro; expansion method; and singular value decomposition | ||
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