Article ID: | iaor20127268 |
Volume: | 61 |
Issue: | 4 |
Start Page Number: | 545 |
End Page Number: | 566 |
Publication Date: | Dec 2012 |
Journal: | Numerical Algorithms |
Authors: | El-Daou Mohamed, Al-Hamad Khaled |
Keywords: | differential equations |
The Tau method is a numerical technique that consists in constructing polynomial approximate solutions for ordinary differential equations. This method has two approaches: operational and recursive. The former converts the differential problem to a matrix problem and produces approximations in terms of a prescribed orthogonal polynomials basis. In the recursive approach, we construct approximate solutions in terms of a special set of polynomials {