Approximated Solution of Higher–Order Linear Fredholm Integro–Differential Equations by Computing of Singular Value Decomposition (SVD)
Abstract
Our main concern here is to give an approximate scheme to solve a linearFredholm 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–differential equations, expansion method, and singular value decompositionMetrics