An Accelerate Process for the Successive Approximations Method In the Case of Monotonous Convergence

Authors

A. Laouar, Badji Mokhtar University of Annaba
I. Mous, University 20 Août 1955

Abstract

We study an iterative process to accelerate the successive approximations method in a monotonous convergence framework. It consists in interrupting the sequence of the successive approximations method produced at the kth iteration and substituting it by a combination of the element of the sequence produced at the iterate k + 1 and an extrapolation vector. The latter uses a parameter which can be calculated mathematically. We illustrate numerically this process by studying a freeboundary problems class.

Recommended Citation

Laouar, A. and Mous, I. (2018). An Accelerate Process for the Successive Approximations Method In the Case of Monotonous Convergence, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 1, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/16