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