OJAppS  Vol.2 No.4 B , December 2012
Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs
ABSTRACT
In this paper, seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations, their orders of convergence are proved to be increased, numerical examples are demonstrat-ed demonstrated to verify the theoretical results, and applications for solving systems of nonlinear equations and BVPs of nonlinear ODEs are illustrated.

Cite this paper
nullZheng, Q. , Guo, X. and Huang, F. (2012) Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs. Open Journal of Applied Sciences, 2, 70-73. doi: 10.4236/ojapps.2012.24B017.
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