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.