Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644825 | Applied Numerical Mathematics | 2016 | 20 Pages |
Abstract
A new iterative numerical method to solve two-point boundary value problems associated to functional differential equations of even order is proposed. The method uses a cubic spline interpolation procedure activated at each iterative step. The convergence of the method is proved and it is tested on some numerical experiments. The notion of numerical stability with respect to the choice of the first iteration is introduced proving that the proposed method is numerically stable in this sense.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Alexandru Mihai Bica, Mircea Curila, Sorin Curila,